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<html><head><meta http-equiv="content-type" content="text/html; charset=utf-8"/><title>4.7 Blur</title><link rel="stylesheet" type="text/css" href="../scribble.css" title="default"/><link rel="stylesheet" type="text/css" href="../racket.css" title="default"/><link rel="stylesheet" type="text/css" href="../manual-style.css" title="default"/><link rel="stylesheet" type="text/css" href="../manual-racket.css" title="default"/><link rel="stylesheet" type="text/css" href="../manual-racket.css" title="default"/><link rel="stylesheet" type="text/css" href="../doc-site.css" title="default"/><script type="text/javascript" src="../scribble-common.js"></script><script type="text/javascript" src="../manual-racket.js"></script><script type="text/javascript" src="../manual-racket.js"></script><script type="text/javascript" src="../doc-site.js"></script><script type="text/javascript" src="../local-redirect/local-redirect.js"></script><script type="text/javascript" src="../local-redirect/local-user-redirect.js"></script><!--[if IE 6]><style type="text/css">.SIEHidden { overflow: hidden; }</style><![endif]--></head><body id="doc-racket-lang-org"><div class="tocset"><div class="tocview"><div class="tocviewlist tocviewlisttopspace"><div class="tocviewtitle"><table cellspacing="0" cellpadding="0"><tr><td style="width: 1em;"><a href="javascript:void(0);" title="Expand/Collapse" class="tocviewtoggle" onclick="TocviewToggle(this,"tocview_0");">►</a></td><td></td><td><a href="index.html" class="tocviewlink" data-pltdoc="x">Images</a></td></tr></table></div><div class="tocviewsublisttop" style="display: none;" id="tocview_0"><table cellspacing="0" cellpadding="0"><tr><td align="right">1 </td><td><a href="Icons.html" class="tocviewlink" data-pltdoc="x">Icons</a></td></tr><tr><td align="right">2 </td><td><a href="Logos.html" class="tocviewlink" data-pltdoc="x">Logos</a></td></tr><tr><td align="right">3 </td><td><a href="Embedding_Bitmaps_in_Compiled_Files.html" class="tocviewlink" data-pltdoc="x">Embedding Bitmaps in Compiled Files</a></td></tr><tr><td align="right">4 </td><td><a href="flomap_title.html" class="tocviewselflink" data-pltdoc="x">Floating-<wbr></wbr>Point Bitmaps</a></td></tr></table></div></div><div class="tocviewlist"><table cellspacing="0" cellpadding="0"><tr><td style="width: 1em;"><a href="javascript:void(0);" title="Expand/Collapse" class="tocviewtoggle" onclick="TocviewToggle(this,"tocview_1");">▼</a></td><td>4 </td><td><a href="flomap_title.html" class="tocviewlink" data-pltdoc="x">Floating-<wbr></wbr>Point Bitmaps</a></td></tr></table><div class="tocviewsublistbottom" style="display: block;" id="tocview_1"><table cellspacing="0" cellpadding="0"><tr><td align="right">4.1 </td><td><a href="Overview.html" class="tocviewlink" data-pltdoc="x">Overview</a></td></tr><tr><td align="right">4.2 </td><td><a href="Struct_Type_and_Accessors.html" class="tocviewlink" data-pltdoc="x">Struct Type and Accessors</a></td></tr><tr><td align="right">4.3 </td><td><a href="Conversion_and_Construction.html" class="tocviewlink" data-pltdoc="x">Conversion and Construction</a></td></tr><tr><td align="right">4.4 </td><td><a href="Component_Operations.html" class="tocviewlink" data-pltdoc="x">Component Operations</a></td></tr><tr><td align="right">4.5 </td><td><a href="Pointwise_Operations.html" class="tocviewlink" data-pltdoc="x">Pointwise Operations</a></td></tr><tr><td align="right">4.6 </td><td><a href="Gradients_and_Normals.html" class="tocviewlink" data-pltdoc="x">Gradients and Normals</a></td></tr><tr><td align="right">4.7 </td><td><a href="" class="tocviewselflink" data-pltdoc="x">Blur</a></td></tr><tr><td align="right">4.8 </td><td><a href="Resizing.html" class="tocviewlink" data-pltdoc="x">Resizing</a></td></tr><tr><td align="right">4.9 </td><td><a href="Compositing.html" class="tocviewlink" data-pltdoc="x">Compositing</a></td></tr><tr><td align="right">4.10 </td><td><a href="Spatial_Transformations.html" class="tocviewlink" data-pltdoc="x">Spatial Transformations</a></td></tr><tr><td align="right">4.11 </td><td><a href="Effects.html" class="tocviewlink" data-pltdoc="x">Effects</a></td></tr></table></div></div></div><div class="tocsub"><div class="tocsubtitle">On this page:</div><table class="tocsublist" cellspacing="0"><tr><td><a href="#%28def._%28%28lib._images%2Fflomap..rkt%29._flomap-gaussian-blur%29%29" class="tocsublink" data-pltdoc="x"><span class="RktSym"><span class="RktValLink">flomap-<wbr></wbr>gaussian-<wbr></wbr>blur</span></span></a></td></tr><tr><td><a href="#%28def._%28%28lib._images%2Fflomap..rkt%29._flomap-gaussian-blur-x%29%29" class="tocsublink" data-pltdoc="x"><span class="RktSym"><span class="RktValLink">flomap-<wbr></wbr>gaussian-<wbr></wbr>blur-<wbr></wbr>x</span></span></a></td></tr><tr><td><a href="#%28def._%28%28lib._images%2Fflomap..rkt%29._flomap-gaussian-blur-y%29%29" class="tocsublink" data-pltdoc="x"><span class="RktSym"><span class="RktValLink">flomap-<wbr></wbr>gaussian-<wbr></wbr>blur-<wbr></wbr>y</span></span></a></td></tr><tr><td><a href="#%28def._%28%28lib._images%2Fflomap..rkt%29._flomap-box-blur%29%29" class="tocsublink" data-pltdoc="x"><span class="RktSym"><span class="RktValLink">flomap-<wbr></wbr>box-<wbr></wbr>blur</span></span></a></td></tr><tr><td><a href="#%28def._%28%28lib._images%2Fflomap..rkt%29._flomap-box-blur-x%29%29" class="tocsublink" data-pltdoc="x"><span class="RktSym"><span class="RktValLink">flomap-<wbr></wbr>box-<wbr></wbr>blur-<wbr></wbr>x</span></span></a></td></tr><tr><td><a href="#%28def._%28%28lib._images%2Fflomap..rkt%29._flomap-box-blur-y%29%29" class="tocsublink" data-pltdoc="x"><span class="RktSym"><span class="RktValLink">flomap-<wbr></wbr>box-<wbr></wbr>blur-<wbr></wbr>y</span></span></a></td></tr><tr><td><a href="#%28def._%28%28lib._images%2Fflomap..rkt%29._flomap-blur%29%29" class="tocsublink" data-pltdoc="x"><span class="RktSym"><span class="RktValLink">flomap-<wbr></wbr>blur</span></span></a></td></tr><tr><td><a href="#%28def._%28%28lib._images%2Fflomap..rkt%29._flomap-blur-x%29%29" class="tocsublink" data-pltdoc="x"><span class="RktSym"><span class="RktValLink">flomap-<wbr></wbr>blur-<wbr></wbr>x</span></span></a></td></tr><tr><td><a href="#%28def._%28%28lib._images%2Fflomap..rkt%29._flomap-blur-y%29%29" class="tocsublink" data-pltdoc="x"><span class="RktSym"><span class="RktValLink">flomap-<wbr></wbr>blur-<wbr></wbr>y</span></span></a></td></tr></table></div></div><div class="maincolumn"><div class="main"><div class="navsettop"><span class="navleft"><form class="searchform"><input class="searchbox" style="color: #888;" type="text" value="...search manuals..." title="Enter a search string to search the manuals" onkeypress="return DoSearchKey(event, this, "6.7", "../");" onfocus="this.style.color="black"; this.style.textAlign="left"; if (this.value == "...search manuals...") this.value="";" onblur="if (this.value.match(/^ *$/)) { this.style.color="#888"; this.style.textAlign="center"; this.value="...search manuals..."; }"/></form> <a href="../index.html" title="up to the documentation top" data-pltdoc="x" onclick="return GotoPLTRoot("6.7");">top</a></span><span class="navright"> <a href="Gradients_and_Normals.html" title="backward to "4.6 Gradients and Normals"" data-pltdoc="x">← prev</a> <a href="flomap_title.html" title="up to "4 Floating-Point Bitmaps"" data-pltdoc="x">up</a> <a href="Resizing.html" title="forward to "4.8 Resizing"" data-pltdoc="x">next →</a></span> </div><h4 x-source-module="(lib "images/scribblings/images.scrbl")" x-source-pkg="images-doc" x-part-tag=""Blur"">4.7<tt> </tt><a name="(part._.Blur)"></a>Blur</h4><p><div class="SIntrapara"><blockquote class="SVInsetFlow"><table cellspacing="0" cellpadding="0" class="boxed RBoxed"><tr><td><blockquote class="SubFlow"><div class="RBackgroundLabel SIEHidden"><div class="RBackgroundLabelInner"><p>procedure</p></div></div><p class="RForeground"><span class="RktPn">(</span><a name="(def._((lib._images/flomap..rkt)._flomap-gaussian-blur))"></a><span title="Provided from: images/flomap | Package: images-lib"><span class="RktSym"><a href="#%28def._%28%28lib._images%2Fflomap..rkt%29._flomap-gaussian-blur%29%29" class="RktValDef RktValLink" data-pltdoc="x">flomap-gaussian-blur</a></span></span><span class="hspace"> </span><span class="RktVar">fm</span><span class="hspace"> </span><span class="RktVar">xσ</span><span class="hspace"> </span>[<span class="RktVar">yσ</span>]<span class="RktPn">)</span><span class="hspace"> </span>→<span class="hspace"> </span><span class="RktSym"><a href="Struct_Type_and_Accessors.html#%28def._%28%28lib._images%2Fflomap..rkt%29._flomap%29%29" class="RktValLink" data-pltdoc="x">flomap</a></span></p></blockquote></td></tr><tr><td><span class="hspace"> </span><span class="RktVar">fm</span><span class="hspace"> </span>:<span class="hspace"> </span><span class="RktSym"><a href="Struct_Type_and_Accessors.html#%28def._%28%28lib._images%2Fflomap..rkt%29._flomap%29%29" class="RktValLink" data-pltdoc="x">flomap</a></span></td></tr><tr><td><span class="hspace"> </span><span class="RktVar">xσ</span><span class="hspace"> </span>:<span class="hspace"> </span><span class="RktSym"><a href="https://download.racket-lang.org/docs/6.7/html/local-redirect/index.html?doc=ts-reference&rel=type-ref.html%23%2528form._%2528%2528lib._typed-racket%252Fbase-env%252Fbase-types..rkt%2529._.Real%2529%2529&version=6.7" class="RktStxLink Sq" data-pltdoc="x">Real</a></span></td></tr><tr><td><span class="hspace"> </span><span class="RktVar">yσ</span><span class="hspace"> </span>:<span class="hspace"> </span><span class="RktSym"><a href="https://download.racket-lang.org/docs/6.7/html/local-redirect/index.html?doc=ts-reference&rel=type-ref.html%23%2528form._%2528%2528lib._typed-racket%252Fbase-env%252Fbase-types..rkt%2529._.Real%2529%2529&version=6.7" class="RktStxLink Sq" data-pltdoc="x">Real</a></span><span class="hspace"> </span>=<span class="hspace"> </span><span class="RktVar">xσ</span></td></tr></table></blockquote></div><div class="SIntrapara">Returns <span class="RktVar">fm</span> convolved, per-component, with an axis-aligned Gaussian kernel with standard deviations <span class="RktVar">xσ</span> and <span class="RktVar">yσ</span>.</div></p><p>If perfect Gaussian blur is not important, use <span class="RktSym"><a href="#%28def._%28%28lib._images%2Fflomap..rkt%29._flomap-blur%29%29" class="RktValLink" data-pltdoc="x">flomap-blur</a></span> instead, which approximates Gaussian blur closely and is faster.</p><p><div class="SIntrapara">Examples:</div><div class="SIntrapara"><blockquote class="SCodeFlow"><table cellspacing="0" cellpadding="0" class="RktBlk"><tr><td><span class="stt">> </span><span class="RktPn">(</span><span class="RktSym"><a href="Conversion_and_Construction.html#%28def._%28%28lib._images%2Fflomap..rkt%29._flomap-~3ebitmap%29%29" class="RktValLink" data-pltdoc="x">flomap->bitmap</a></span><span class="hspace"> </span><span class="RktPn">(</span><span class="RktSym"><a href="#%28def._%28%28lib._images%2Fflomap..rkt%29._flomap-gaussian-blur%29%29" class="RktValLink" data-pltdoc="x">flomap-gaussian-blur</a></span><span class="hspace"> </span><span class="RktPn">(</span><span class="RktSym"><a href="Resizing.html#%28def._%28%28lib._images%2Fflomap..rkt%29._flomap-inset%29%29" class="RktValLink" data-pltdoc="x">flomap-inset</a></span><span class="hspace"> </span><span class="RktVar">fm</span><span class="hspace"> </span><span class="RktVal">12</span><span class="RktPn">)</span><span class="hspace"> </span><span class="RktVal">4</span><span class="RktPn">)</span><span class="RktPn">)</span></td></tr><tr><td><p><img src="pict_154.png" alt="image" width="284" height="264"/></p></td></tr><tr><td><span class="stt">> </span><span class="RktPn">(</span><span class="RktSym"><a href="Conversion_and_Construction.html#%28def._%28%28lib._images%2Fflomap..rkt%29._flomap-~3ebitmap%29%29" class="RktValLink" data-pltdoc="x">flomap->bitmap</a></span><span class="hspace"> </span><span class="RktPn">(</span><span class="RktSym"><a href="#%28def._%28%28lib._images%2Fflomap..rkt%29._flomap-gaussian-blur%29%29" class="RktValLink" data-pltdoc="x">flomap-gaussian-blur</a></span><span class="hspace"> </span><span class="RktPn">(</span><span class="RktSym"><a href="Resizing.html#%28def._%28%28lib._images%2Fflomap..rkt%29._flomap-inset%29%29" class="RktValLink" data-pltdoc="x">flomap-inset</a></span><span class="hspace"> </span><span class="RktVar">fm</span><span class="hspace"> </span><span class="RktVal">12</span><span class="hspace"> </span><span class="RktVal">3</span><span class="RktPn">)</span><span class="hspace"> </span><span class="RktVal">4</span><span class="hspace"> </span><span class="RktVal">1</span><span class="RktPn">)</span><span class="RktPn">)</span></td></tr><tr><td><p><img src="pict_155.png" alt="image" width="284" height="246"/></p></td></tr></table></blockquote></div></p><p><div class="SIntrapara"><blockquote class="SVInsetFlow"><table cellspacing="0" cellpadding="0" class="boxed RBoxed"><tr><td><blockquote class="SubFlow"><div class="RBackgroundLabel SIEHidden"><div class="RBackgroundLabelInner"><p>procedure</p></div></div><p class="RForeground"><span class="RktPn">(</span><a name="(def._((lib._images/flomap..rkt)._flomap-gaussian-blur-x))"></a><span title="Provided from: images/flomap | Package: images-lib"><span class="RktSym"><a href="#%28def._%28%28lib._images%2Fflomap..rkt%29._flomap-gaussian-blur-x%29%29" class="RktValDef RktValLink" data-pltdoc="x">flomap-gaussian-blur-x</a></span></span><span class="hspace"> </span><span class="RktVar">fm</span><span class="hspace"> </span><span class="RktVar">σ</span><span class="RktPn">)</span><span class="hspace"> </span>→<span class="hspace"> </span><span class="RktSym"><a href="Struct_Type_and_Accessors.html#%28def._%28%28lib._images%2Fflomap..rkt%29._flomap%29%29" class="RktValLink" data-pltdoc="x">flomap</a></span></p></blockquote></td></tr><tr><td><span class="hspace"> </span><span class="RktVar">fm</span><span class="hspace"> </span>:<span class="hspace"> </span><span class="RktSym"><a href="Struct_Type_and_Accessors.html#%28def._%28%28lib._images%2Fflomap..rkt%29._flomap%29%29" class="RktValLink" data-pltdoc="x">flomap</a></span></td></tr><tr><td><span class="hspace"> </span><span class="RktVar">σ</span><span class="hspace"> </span>:<span class="hspace"> </span><span class="RktSym"><a href="https://download.racket-lang.org/docs/6.7/html/local-redirect/index.html?doc=ts-reference&rel=type-ref.html%23%2528form._%2528%2528lib._typed-racket%252Fbase-env%252Fbase-types..rkt%2529._.Real%2529%2529&version=6.7" class="RktStxLink Sq" data-pltdoc="x">Real</a></span></td></tr></table></blockquote></div><div class="SIntrapara">Returns <span class="RktVar">fm</span> convolved, per-component and per-row, with a Gaussian kernel with standard deviation <span class="RktVar">σ</span>.</div></p><p>If perfect Gaussian blur is not important, use <span class="RktSym"><a href="#%28def._%28%28lib._images%2Fflomap..rkt%29._flomap-blur-x%29%29" class="RktValLink" data-pltdoc="x">flomap-blur-x</a></span> instead, which approximates Gaussian blur closely and is usually much faster.</p><p><div class="SIntrapara">Example:</div><div class="SIntrapara"><blockquote class="SCodeFlow"><table cellspacing="0" cellpadding="0" class="RktBlk"><tr><td><span class="stt">> </span><span class="RktPn">(</span><span class="RktSym"><a href="Conversion_and_Construction.html#%28def._%28%28lib._images%2Fflomap..rkt%29._flomap-~3ebitmap%29%29" class="RktValLink" data-pltdoc="x">flomap->bitmap</a></span><span class="hspace"> </span><span class="RktPn">(</span><span class="RktSym"><a href="#%28def._%28%28lib._images%2Fflomap..rkt%29._flomap-gaussian-blur-x%29%29" class="RktValLink" data-pltdoc="x">flomap-gaussian-blur-x</a></span><span class="hspace"> </span><span class="RktPn">(</span><span class="RktSym"><a href="Resizing.html#%28def._%28%28lib._images%2Fflomap..rkt%29._flomap-inset%29%29" class="RktValLink" data-pltdoc="x">flomap-inset</a></span><span class="hspace"> </span><span class="RktVar">fm</span><span class="hspace"> </span><span class="RktVal">12</span><span class="hspace"> </span><span class="RktVal">0</span><span class="RktPn">)</span><span class="hspace"> </span><span class="RktVal">4</span><span class="RktPn">)</span><span class="RktPn">)</span></td></tr><tr><td><p><img src="pict_156.png" alt="image" width="284" height="240"/></p></td></tr></table></blockquote></div></p><p><div class="SIntrapara"><blockquote class="SVInsetFlow"><table cellspacing="0" cellpadding="0" class="boxed RBoxed"><tr><td><blockquote class="SubFlow"><div class="RBackgroundLabel SIEHidden"><div class="RBackgroundLabelInner"><p>procedure</p></div></div><p class="RForeground"><span class="RktPn">(</span><a name="(def._((lib._images/flomap..rkt)._flomap-gaussian-blur-y))"></a><span title="Provided from: images/flomap | Package: images-lib"><span class="RktSym"><a href="#%28def._%28%28lib._images%2Fflomap..rkt%29._flomap-gaussian-blur-y%29%29" class="RktValDef RktValLink" data-pltdoc="x">flomap-gaussian-blur-y</a></span></span><span class="hspace"> </span><span class="RktVar">fm</span><span class="hspace"> </span><span class="RktVar">σ</span><span class="RktPn">)</span><span class="hspace"> </span>→<span class="hspace"> </span><span class="RktSym"><a href="Struct_Type_and_Accessors.html#%28def._%28%28lib._images%2Fflomap..rkt%29._flomap%29%29" class="RktValLink" data-pltdoc="x">flomap</a></span></p></blockquote></td></tr><tr><td><span class="hspace"> </span><span class="RktVar">fm</span><span class="hspace"> </span>:<span class="hspace"> </span><span class="RktSym"><a href="Struct_Type_and_Accessors.html#%28def._%28%28lib._images%2Fflomap..rkt%29._flomap%29%29" class="RktValLink" data-pltdoc="x">flomap</a></span></td></tr><tr><td><span class="hspace"> </span><span class="RktVar">σ</span><span class="hspace"> </span>:<span class="hspace"> </span><span class="RktSym"><a href="https://download.racket-lang.org/docs/6.7/html/local-redirect/index.html?doc=ts-reference&rel=type-ref.html%23%2528form._%2528%2528lib._typed-racket%252Fbase-env%252Fbase-types..rkt%2529._.Real%2529%2529&version=6.7" class="RktStxLink Sq" data-pltdoc="x">Real</a></span></td></tr></table></blockquote></div><div class="SIntrapara">Like <span class="RktSym"><a href="#%28def._%28%28lib._images%2Fflomap..rkt%29._flomap-gaussian-blur-x%29%29" class="RktValLink" data-pltdoc="x">flomap-gaussian-blur-x</a></span>, but per-column instead of per-row.</div></p><p><div class="SIntrapara"><blockquote class="SVInsetFlow"><table cellspacing="0" cellpadding="0" class="boxed RBoxed"><tr><td><blockquote class="SubFlow"><div class="RBackgroundLabel SIEHidden"><div class="RBackgroundLabelInner"><p>procedure</p></div></div><p class="RForeground"><span class="RktPn">(</span><a name="(def._((lib._images/flomap..rkt)._flomap-box-blur))"></a><span title="Provided from: images/flomap | Package: images-lib"><span class="RktSym"><a href="#%28def._%28%28lib._images%2Fflomap..rkt%29._flomap-box-blur%29%29" class="RktValDef RktValLink" data-pltdoc="x">flomap-box-blur</a></span></span><span class="hspace"> </span><span class="RktVar">fm</span><span class="hspace"> </span><span class="RktVar">x-radius</span><span class="hspace"> </span>[<span class="RktVar">y-radius</span>]<span class="RktPn">)</span><span class="hspace"> </span>→<span class="hspace"> </span><span class="RktSym"><a href="Struct_Type_and_Accessors.html#%28def._%28%28lib._images%2Fflomap..rkt%29._flomap%29%29" class="RktValLink" data-pltdoc="x">flomap</a></span></p></blockquote></td></tr><tr><td><span class="hspace"> </span><span class="RktVar">fm</span><span class="hspace"> </span>:<span class="hspace"> </span><span class="RktSym"><a href="Struct_Type_and_Accessors.html#%28def._%28%28lib._images%2Fflomap..rkt%29._flomap%29%29" class="RktValLink" data-pltdoc="x">flomap</a></span></td></tr><tr><td><span class="hspace"> </span><span class="RktVar">x-radius</span><span class="hspace"> </span>:<span class="hspace"> </span><span class="RktSym"><a href="https://download.racket-lang.org/docs/6.7/html/local-redirect/index.html?doc=ts-reference&rel=type-ref.html%23%2528form._%2528%2528lib._typed-racket%252Fbase-env%252Fbase-types..rkt%2529._.Real%2529%2529&version=6.7" class="RktStxLink Sq" data-pltdoc="x">Real</a></span></td></tr><tr><td><span class="hspace"> </span><span class="RktVar">y-radius</span><span class="hspace"> </span>:<span class="hspace"> </span><span class="RktSym"><a href="https://download.racket-lang.org/docs/6.7/html/local-redirect/index.html?doc=ts-reference&rel=type-ref.html%23%2528form._%2528%2528lib._typed-racket%252Fbase-env%252Fbase-types..rkt%2529._.Real%2529%2529&version=6.7" class="RktStxLink Sq" data-pltdoc="x">Real</a></span><span class="hspace"> </span>=<span class="hspace"> </span><span class="RktVar">x-radius</span></td></tr></table></blockquote></div><div class="SIntrapara">Returns <span class="RktVar">fm</span> convolved, per-component, with a box kernel with radii <span class="RktVar">x-radius</span> and <span class="RktVar">y-radius</span>.
The radii are of the largest axis-aligned ellipse that would fit in the box.
</div><div class="SIntrapara"><p><div class="SIntrapara">Examples:</div><div class="SIntrapara"><blockquote class="SCodeFlow"><table cellspacing="0" cellpadding="0" class="RktBlk"><tr><td><span class="stt">> </span><span class="RktPn">(</span><span class="RktSym"><a href="Conversion_and_Construction.html#%28def._%28%28lib._images%2Fflomap..rkt%29._flomap-~3ebitmap%29%29" class="RktValLink" data-pltdoc="x">flomap->bitmap</a></span><span class="hspace"> </span><span class="RktPn">(</span><span class="RktSym"><a href="#%28def._%28%28lib._images%2Fflomap..rkt%29._flomap-box-blur%29%29" class="RktValLink" data-pltdoc="x">flomap-box-blur</a></span><span class="hspace"> </span><span class="RktPn">(</span><span class="RktSym"><a href="Resizing.html#%28def._%28%28lib._images%2Fflomap..rkt%29._flomap-inset%29%29" class="RktValLink" data-pltdoc="x">flomap-inset</a></span><span class="hspace"> </span><span class="RktVar">fm</span><span class="hspace"> </span><span class="RktVal">4</span><span class="RktPn">)</span><span class="hspace"> </span><span class="RktVal">4</span><span class="RktPn">)</span><span class="RktPn">)</span></td></tr><tr><td><p><img src="pict_157.png" alt="image" width="268" height="248"/></p></td></tr><tr><td><span class="stt">> </span><span class="RktPn">(</span><span class="RktSym"><a href="Conversion_and_Construction.html#%28def._%28%28lib._images%2Fflomap..rkt%29._flomap-~3ebitmap%29%29" class="RktValLink" data-pltdoc="x">flomap->bitmap</a></span><span class="hspace"> </span><span class="RktPn">(</span><span class="RktSym"><a href="#%28def._%28%28lib._images%2Fflomap..rkt%29._flomap-box-blur%29%29" class="RktValLink" data-pltdoc="x">flomap-box-blur</a></span><span class="hspace"> </span><span class="RktPn">(</span><span class="RktSym"><a href="Resizing.html#%28def._%28%28lib._images%2Fflomap..rkt%29._flomap-inset%29%29" class="RktValLink" data-pltdoc="x">flomap-inset</a></span><span class="hspace"> </span><span class="RktVar">fm</span><span class="hspace"> </span><span class="RktVal">4</span><span class="hspace"> </span><span class="RktVal">1</span><span class="RktPn">)</span><span class="hspace"> </span><span class="RktVal">4</span><span class="hspace"> </span><span class="RktVal">1</span><span class="RktPn">)</span><span class="RktPn">)</span></td></tr><tr><td><p><img src="pict_158.png" alt="image" width="268" height="242"/></p></td></tr></table></blockquote></div></p></div></p><p><div class="SIntrapara"><blockquote class="SVInsetFlow"><table cellspacing="0" cellpadding="0" class="boxed RBoxed"><tr><td><blockquote class="SubFlow"><div class="RBackgroundLabel SIEHidden"><div class="RBackgroundLabelInner"><p>procedure</p></div></div><p class="RForeground"><span class="RktPn">(</span><a name="(def._((lib._images/flomap..rkt)._flomap-box-blur-x))"></a><span title="Provided from: images/flomap | Package: images-lib"><span class="RktSym"><a href="#%28def._%28%28lib._images%2Fflomap..rkt%29._flomap-box-blur-x%29%29" class="RktValDef RktValLink" data-pltdoc="x">flomap-box-blur-x</a></span></span><span class="hspace"> </span><span class="RktVar">fm</span><span class="hspace"> </span><span class="RktVar">radius</span><span class="RktPn">)</span><span class="hspace"> </span>→<span class="hspace"> </span><span class="RktSym"><a href="Struct_Type_and_Accessors.html#%28def._%28%28lib._images%2Fflomap..rkt%29._flomap%29%29" class="RktValLink" data-pltdoc="x">flomap</a></span></p></blockquote></td></tr><tr><td><span class="hspace"> </span><span class="RktVar">fm</span><span class="hspace"> </span>:<span class="hspace"> </span><span class="RktSym"><a href="Struct_Type_and_Accessors.html#%28def._%28%28lib._images%2Fflomap..rkt%29._flomap%29%29" class="RktValLink" data-pltdoc="x">flomap</a></span></td></tr><tr><td><span class="hspace"> </span><span class="RktVar">radius</span><span class="hspace"> </span>:<span class="hspace"> </span><span class="RktSym"><a href="https://download.racket-lang.org/docs/6.7/html/local-redirect/index.html?doc=ts-reference&rel=type-ref.html%23%2528form._%2528%2528lib._typed-racket%252Fbase-env%252Fbase-types..rkt%2529._.Real%2529%2529&version=6.7" class="RktStxLink Sq" data-pltdoc="x">Real</a></span></td></tr></table></blockquote></div><div class="SIntrapara">Returns <span class="RktVar">fm</span> convolved, per-component and per-row, with a box kernel with radius <span class="RktVar">radius</span>.
</div><div class="SIntrapara"><p><div class="SIntrapara">Example:</div><div class="SIntrapara"><blockquote class="SCodeFlow"><table cellspacing="0" cellpadding="0" class="RktBlk"><tr><td><span class="stt">> </span><span class="RktPn">(</span><span class="RktSym"><a href="Conversion_and_Construction.html#%28def._%28%28lib._images%2Fflomap..rkt%29._flomap-~3ebitmap%29%29" class="RktValLink" data-pltdoc="x">flomap->bitmap</a></span><span class="hspace"> </span><span class="RktPn">(</span><span class="RktSym"><a href="#%28def._%28%28lib._images%2Fflomap..rkt%29._flomap-box-blur-x%29%29" class="RktValLink" data-pltdoc="x">flomap-box-blur-x</a></span><span class="hspace"> </span><span class="RktPn">(</span><span class="RktSym"><a href="Resizing.html#%28def._%28%28lib._images%2Fflomap..rkt%29._flomap-inset%29%29" class="RktValLink" data-pltdoc="x">flomap-inset</a></span><span class="hspace"> </span><span class="RktVar">fm</span><span class="hspace"> </span><span class="RktVal">4</span><span class="hspace"> </span><span class="RktVal">0</span><span class="RktPn">)</span><span class="hspace"> </span><span class="RktVal">4</span><span class="RktPn">)</span><span class="RktPn">)</span></td></tr><tr><td><p><img src="pict_159.png" alt="image" width="268" height="240"/></p></td></tr></table></blockquote></div></p></div></p><p><div class="SIntrapara"><blockquote class="SVInsetFlow"><table cellspacing="0" cellpadding="0" class="boxed RBoxed"><tr><td><blockquote class="SubFlow"><div class="RBackgroundLabel SIEHidden"><div class="RBackgroundLabelInner"><p>procedure</p></div></div><p class="RForeground"><span class="RktPn">(</span><a name="(def._((lib._images/flomap..rkt)._flomap-box-blur-y))"></a><span title="Provided from: images/flomap | Package: images-lib"><span class="RktSym"><a href="#%28def._%28%28lib._images%2Fflomap..rkt%29._flomap-box-blur-y%29%29" class="RktValDef RktValLink" data-pltdoc="x">flomap-box-blur-y</a></span></span><span class="hspace"> </span><span class="RktVar">fm</span><span class="hspace"> </span><span class="RktVar">radius</span><span class="RktPn">)</span><span class="hspace"> </span>→<span class="hspace"> </span><span class="RktSym"><a href="Struct_Type_and_Accessors.html#%28def._%28%28lib._images%2Fflomap..rkt%29._flomap%29%29" class="RktValLink" data-pltdoc="x">flomap</a></span></p></blockquote></td></tr><tr><td><span class="hspace"> </span><span class="RktVar">fm</span><span class="hspace"> </span>:<span class="hspace"> </span><span class="RktSym"><a href="Struct_Type_and_Accessors.html#%28def._%28%28lib._images%2Fflomap..rkt%29._flomap%29%29" class="RktValLink" data-pltdoc="x">flomap</a></span></td></tr><tr><td><span class="hspace"> </span><span class="RktVar">radius</span><span class="hspace"> </span>:<span class="hspace"> </span><span class="RktSym"><a href="https://download.racket-lang.org/docs/6.7/html/local-redirect/index.html?doc=ts-reference&rel=type-ref.html%23%2528form._%2528%2528lib._typed-racket%252Fbase-env%252Fbase-types..rkt%2529._.Real%2529%2529&version=6.7" class="RktStxLink Sq" data-pltdoc="x">Real</a></span></td></tr></table></blockquote></div><div class="SIntrapara">Like <span class="RktSym"><a href="#%28def._%28%28lib._images%2Fflomap..rkt%29._flomap-box-blur-x%29%29" class="RktValLink" data-pltdoc="x">flomap-box-blur-x</a></span>, but per-column instead of per-row.</div></p><p><div class="SIntrapara"><blockquote class="SVInsetFlow"><table cellspacing="0" cellpadding="0" class="boxed RBoxed"><tr><td><blockquote class="SubFlow"><div class="RBackgroundLabel SIEHidden"><div class="RBackgroundLabelInner"><p>procedure</p></div></div><p class="RForeground"><span class="RktPn">(</span><a name="(def._((lib._images/flomap..rkt)._flomap-blur))"></a><span title="Provided from: images/flomap | Package: images-lib"><span class="RktSym"><a href="#%28def._%28%28lib._images%2Fflomap..rkt%29._flomap-blur%29%29" class="RktValDef RktValLink" data-pltdoc="x">flomap-blur</a></span></span><span class="hspace"> </span><span class="RktVar">fm</span><span class="hspace"> </span><span class="RktVar">xσ</span><span class="hspace"> </span>[<span class="RktVar">yσ</span>]<span class="RktPn">)</span><span class="hspace"> </span>→<span class="hspace"> </span><span class="RktSym"><a href="Struct_Type_and_Accessors.html#%28def._%28%28lib._images%2Fflomap..rkt%29._flomap%29%29" class="RktValLink" data-pltdoc="x">flomap</a></span></p></blockquote></td></tr><tr><td><span class="hspace"> </span><span class="RktVar">fm</span><span class="hspace"> </span>:<span class="hspace"> </span><span class="RktSym"><a href="Struct_Type_and_Accessors.html#%28def._%28%28lib._images%2Fflomap..rkt%29._flomap%29%29" class="RktValLink" data-pltdoc="x">flomap</a></span></td></tr><tr><td><span class="hspace"> </span><span class="RktVar">xσ</span><span class="hspace"> </span>:<span class="hspace"> </span><span class="RktSym"><a href="https://download.racket-lang.org/docs/6.7/html/local-redirect/index.html?doc=ts-reference&rel=type-ref.html%23%2528form._%2528%2528lib._typed-racket%252Fbase-env%252Fbase-types..rkt%2529._.Real%2529%2529&version=6.7" class="RktStxLink Sq" data-pltdoc="x">Real</a></span></td></tr><tr><td><span class="hspace"> </span><span class="RktVar">yσ</span><span class="hspace"> </span>:<span class="hspace"> </span><span class="RktSym"><a href="https://download.racket-lang.org/docs/6.7/html/local-redirect/index.html?doc=ts-reference&rel=type-ref.html%23%2528form._%2528%2528lib._typed-racket%252Fbase-env%252Fbase-types..rkt%2529._.Real%2529%2529&version=6.7" class="RktStxLink Sq" data-pltdoc="x">Real</a></span><span class="hspace"> </span>=<span class="hspace"> </span><span class="RktVar">xσ</span></td></tr></table></blockquote></div><div class="SIntrapara">Returns approximately the result of <span class="RktPn">(</span><span class="RktSym"><a href="#%28def._%28%28lib._images%2Fflomap..rkt%29._flomap-gaussian-blur%29%29" class="RktValLink" data-pltdoc="x">flomap-gaussian-blur</a></span><span class="stt"> </span><span class="RktVar">fm</span><span class="stt"> </span><span class="RktVar">xσ</span><span class="stt"> </span><span class="RktVar">yσ</span><span class="RktPn">)</span>.</div></p><p><div class="SIntrapara">Gaussian blur, as it is implemented by <span class="RktSym"><a href="#%28def._%28%28lib._images%2Fflomap..rkt%29._flomap-gaussian-blur%29%29" class="RktValLink" data-pltdoc="x">flomap-gaussian-blur</a></span>, is O(<span class="RktVar">xσ</span> + <span class="RktVar">yσ</span>) for any fixed flomap size.
On the other hand, <span class="RktSym"><a href="#%28def._%28%28lib._images%2Fflomap..rkt%29._flomap-blur%29%29" class="RktValLink" data-pltdoc="x">flomap-blur</a></span> is O(1) for the same size.
</div><div class="SIntrapara"><p><div class="SIntrapara">Examples:</div><div class="SIntrapara"><blockquote class="SCodeFlow"><table cellspacing="0" cellpadding="0" class="RktBlk"><tr><td><span class="stt">> </span><span class="RktPn">(</span><span class="RktSym"><a href="https://download.racket-lang.org/docs/6.7/html/local-redirect/index.html?doc=reference&rel=define.html%23%2528form._%2528%2528lib._racket%252Fprivate%252Fbase..rkt%2529._define%2529%2529&version=6.7" class="RktStxLink Sq" data-pltdoc="x">define</a></span><span class="hspace"> </span><span class="RktSym">gauss-blur-fm</span><span class="hspace"> </span><span class="RktPn">(</span><span class="RktSym"><a href="https://download.racket-lang.org/docs/6.7/html/local-redirect/index.html?doc=reference&rel=time.html%23%2528form._%2528%2528lib._racket%252Fprivate%252Fmore-scheme..rkt%2529._time%2529%2529&version=6.7" class="RktStxLink Sq" data-pltdoc="x">time</a></span><span class="hspace"> </span><span class="RktPn">(</span><span class="RktSym"><a href="#%28def._%28%28lib._images%2Fflomap..rkt%29._flomap-gaussian-blur%29%29" class="RktValLink" data-pltdoc="x">flomap-gaussian-blur</a></span><span class="hspace"> </span><span class="RktVar">fm</span><span class="hspace"> </span><span class="RktVal">12</span><span class="RktPn">)</span><span class="RktPn">)</span><span class="RktPn">)</span></td></tr><tr><td><p><span class="RktOut">cpu time: 1500 real time: 389 gc time: 32</span></p></td></tr><tr><td><span class="stt">> </span><span class="RktPn">(</span><span class="RktSym"><a href="https://download.racket-lang.org/docs/6.7/html/local-redirect/index.html?doc=reference&rel=define.html%23%2528form._%2528%2528lib._racket%252Fprivate%252Fbase..rkt%2529._define%2529%2529&version=6.7" class="RktStxLink Sq" data-pltdoc="x">define</a></span><span class="hspace"> </span><span class="RktSym">blur-fm</span><span class="hspace"> </span><span class="RktPn">(</span><span class="RktSym"><a href="https://download.racket-lang.org/docs/6.7/html/local-redirect/index.html?doc=reference&rel=time.html%23%2528form._%2528%2528lib._racket%252Fprivate%252Fmore-scheme..rkt%2529._time%2529%2529&version=6.7" class="RktStxLink Sq" data-pltdoc="x">time</a></span><span class="hspace"> </span><span class="RktPn">(</span><span class="RktSym"><a href="#%28def._%28%28lib._images%2Fflomap..rkt%29._flomap-blur%29%29" class="RktValLink" data-pltdoc="x">flomap-blur</a></span><span class="hspace"> </span><span class="RktVar">fm</span><span class="hspace"> </span><span class="RktVal">12</span><span class="RktPn">)</span><span class="RktPn">)</span><span class="RktPn">)</span></td></tr><tr><td><p><span class="RktOut">cpu time: 572 real time: 157 gc time: 0</span></p></td></tr><tr><td><table cellspacing="0" cellpadding="0" class="RktBlk"><tr><td><span class="stt">> </span><span class="RktPn">(</span><span class="RktSym"><a href="Struct_Type_and_Accessors.html#%28def._%28%28lib._images%2Fflomap..rkt%29._flomap-extreme-values%29%29" class="RktValLink" data-pltdoc="x">flomap-extreme-values</a></span></td></tr><tr><td><span class="hspace"> </span><span class="hspace"> </span><span class="RktPn">(</span><span class="RktSym"><a href="Pointwise_Operations.html#%28def._%28%28lib._images%2Fflomap..rkt%29._fmsqr%29%29" class="RktValLink" data-pltdoc="x">fmsqr</a></span><span class="hspace"> </span><span class="RktPn">(</span><span class="RktSym"><a href="Pointwise_Operations.html#%28def._%28%28lib._images%2Fflomap..rkt%29._fm-%29%29" class="RktValLink" data-pltdoc="x">fm-</a></span><span class="hspace"> </span><span class="RktSym">gauss-blur-fm</span><span class="hspace"> </span><span class="RktSym">blur-fm</span><span class="RktPn">)</span><span class="RktPn">)</span><span class="RktPn">)</span></td></tr></table></td></tr><tr><td><table cellspacing="0" cellpadding="0"><tr><td><p><span class="RktRes">0.0</span></p></td></tr><tr><td><p><span class="RktRes">0.0031721674640532663</span></p></td></tr></table></td></tr></table></blockquote></div></p></div></p><p><div class="SIntrapara"><blockquote class="SVInsetFlow"><table cellspacing="0" cellpadding="0" class="boxed RBoxed"><tr><td><blockquote class="SubFlow"><div class="RBackgroundLabel SIEHidden"><div class="RBackgroundLabelInner"><p>procedure</p></div></div><p class="RForeground"><span class="RktPn">(</span><a name="(def._((lib._images/flomap..rkt)._flomap-blur-x))"></a><span title="Provided from: images/flomap | Package: images-lib"><span class="RktSym"><a href="#%28def._%28%28lib._images%2Fflomap..rkt%29._flomap-blur-x%29%29" class="RktValDef RktValLink" data-pltdoc="x">flomap-blur-x</a></span></span><span class="hspace"> </span><span class="RktVar">fm</span><span class="hspace"> </span><span class="RktVar">xσ</span><span class="RktPn">)</span><span class="hspace"> </span>→<span class="hspace"> </span><span class="RktSym"><a href="Struct_Type_and_Accessors.html#%28def._%28%28lib._images%2Fflomap..rkt%29._flomap%29%29" class="RktValLink" data-pltdoc="x">flomap</a></span></p></blockquote></td></tr><tr><td><span class="hspace"> </span><span class="RktVar">fm</span><span class="hspace"> </span>:<span class="hspace"> </span><span class="RktSym"><a href="Struct_Type_and_Accessors.html#%28def._%28%28lib._images%2Fflomap..rkt%29._flomap%29%29" class="RktValLink" data-pltdoc="x">flomap</a></span></td></tr><tr><td><span class="hspace"> </span><span class="RktVar">xσ</span><span class="hspace"> </span>:<span class="hspace"> </span><span class="RktSym"><a href="https://download.racket-lang.org/docs/6.7/html/local-redirect/index.html?doc=ts-reference&rel=type-ref.html%23%2528form._%2528%2528lib._typed-racket%252Fbase-env%252Fbase-types..rkt%2529._.Real%2529%2529&version=6.7" class="RktStxLink Sq" data-pltdoc="x">Real</a></span></td></tr></table></blockquote></div><div class="SIntrapara">Like <span class="RktSym"><a href="#%28def._%28%28lib._images%2Fflomap..rkt%29._flomap-blur%29%29" class="RktValLink" data-pltdoc="x">flomap-blur</a></span>, but blurs per-row only.</div></p><p><div class="SIntrapara"><blockquote class="SVInsetFlow"><table cellspacing="0" cellpadding="0" class="boxed RBoxed"><tr><td><blockquote class="SubFlow"><div class="RBackgroundLabel SIEHidden"><div class="RBackgroundLabelInner"><p>procedure</p></div></div><p class="RForeground"><span class="RktPn">(</span><a name="(def._((lib._images/flomap..rkt)._flomap-blur-y))"></a><span title="Provided from: images/flomap | Package: images-lib"><span class="RktSym"><a href="#%28def._%28%28lib._images%2Fflomap..rkt%29._flomap-blur-y%29%29" class="RktValDef RktValLink" data-pltdoc="x">flomap-blur-y</a></span></span><span class="hspace"> </span><span class="RktVar">fm</span><span class="hspace"> </span><span class="RktVar">yσ</span><span class="RktPn">)</span><span class="hspace"> </span>→<span class="hspace"> </span><span class="RktSym"><a href="Struct_Type_and_Accessors.html#%28def._%28%28lib._images%2Fflomap..rkt%29._flomap%29%29" class="RktValLink" data-pltdoc="x">flomap</a></span></p></blockquote></td></tr><tr><td><span class="hspace"> </span><span class="RktVar">fm</span><span class="hspace"> </span>:<span class="hspace"> </span><span class="RktSym"><a href="Struct_Type_and_Accessors.html#%28def._%28%28lib._images%2Fflomap..rkt%29._flomap%29%29" class="RktValLink" data-pltdoc="x">flomap</a></span></td></tr><tr><td><span class="hspace"> </span><span class="RktVar">yσ</span><span class="hspace"> </span>:<span class="hspace"> </span><span class="RktSym"><a href="https://download.racket-lang.org/docs/6.7/html/local-redirect/index.html?doc=ts-reference&rel=type-ref.html%23%2528form._%2528%2528lib._typed-racket%252Fbase-env%252Fbase-types..rkt%2529._.Real%2529%2529&version=6.7" class="RktStxLink Sq" data-pltdoc="x">Real</a></span></td></tr></table></blockquote></div><div class="SIntrapara">Like <span class="RktSym"><a href="#%28def._%28%28lib._images%2Fflomap..rkt%29._flomap-blur%29%29" class="RktValLink" data-pltdoc="x">flomap-blur</a></span>, but blurs per-column only.</div></p><div class="navsetbottom"><span class="navleft"><form class="searchform"><input class="searchbox" style="color: #888;" type="text" value="...search manuals..." title="Enter a search string to search the manuals" onkeypress="return DoSearchKey(event, this, "6.7", "../");" onfocus="this.style.color="black"; this.style.textAlign="left"; if (this.value == "...search manuals...") this.value="";" onblur="if (this.value.match(/^ *$/)) { this.style.color="#888"; this.style.textAlign="center"; this.value="...search manuals..."; }"/></form> <a href="../index.html" title="up to the documentation top" data-pltdoc="x" onclick="return GotoPLTRoot("6.7");">top</a></span><span class="navright"> <a href="Gradients_and_Normals.html" title="backward to "4.6 Gradients and Normals"" data-pltdoc="x">← prev</a> <a 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