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#!N
#!CSeaGreen #!N #!Rmatrxsc Transformation Matrices #!N #!EC
#!N #!N Transformation matrices (or transforms) specify the relationship between Objects.
For example, when a renderable object is included in a model,
a transformation matrix specifies its placement. In Data Explorer, a transform
is a 4*3 matrix specifying rotation and translation. This is a
homogeneous matrix without the part that computes the #!F-adobe-times-medium-i-normal--18* w #!EF
component of the result. (The #!F-adobe-times-medium-i-normal--18* w #!EF component is used
for perspective, which is specified by a camera and is not
needed here.) #!CForestGreen #!N #!N #!F-adobe-courier-bold-r-normal--18* #!N typedef struct matrix {
#!N /* xA + b */ #!N float A[3][3]; #!N float
b[3]; #!N } Matrix; #!N #!N static Matrix mdentity = {
#!N 1, 0, 0, #!N 0, 1, 0, #!N 0, 0,
1, #!N 0, 0, 0 #!N }; #!EF #!N #!N #!EC
#!N #!N Transforms can be specified in a number of ways:
#!N #!I0 #!N #!N #!I0 #!N #!F-adobe-times-bold-r-normal--18* #!F-adobe-times-bold-r-normal--18* Matrix DXRotateX() #!EF
#!N Matrix DXRotateY(); #!N Matrix DXRotateZ(); #!EF #!I50 #!N Return a
Matrix that specifies a rotation (in radians) about the #!F-adobe-times-medium-i-normal--18* x
#!EF , #!F-adobe-times-medium-i-normal--18* y #!EF or #!F-adobe-times-medium-i-normal--18* z #!EF axis by
angle #!F-adobe-times-bold-r-normal--18* angle #!EF . See #!Ldxrxyz,dxall1362 h DXRotateX, DXRotateY, DXRotateZ, DXScale, DXTranslate, DXMat #!EL . #!N #!I0 #!N
#!F-adobe-times-bold-r-normal--18* #!F-adobe-times-bold-r-normal--18* Matrix DXScale() #!EF #!EF #!I50 #!N Returns a Matrix
that specifies a scaling by amounts #!F-adobe-times-bold-r-normal--18* x #!EF , #!F-adobe-times-bold-r-normal--18*
y #!EF , and #!F-adobe-times-bold-r-normal--18* z #!EF along the #!F-adobe-times-medium-i-normal--18* x
#!EF , #!F-adobe-times-medium-i-normal--18* y #!EF and #!F-adobe-times-medium-i-normal--18* z #!EF axes. See
#!Ldxrxyz,dxall1362 h DXRotateX, DXRotateY, DXRotateZ, DXScale, DXTranslate, DXMat #!EL . #!N #!I0 #!N #!F-adobe-times-bold-r-normal--18* #!F-adobe-times-bold-r-normal--18* Matrix DXTranslate() #!EF #!EF
#!I50 #!N Returns a Matrix that specifies a translation by vector
#!F-adobe-times-bold-r-normal--18* v #!EF . See #!Ldxrxyz,dxall1362 h DXRotateX, DXRotateY, DXRotateZ, DXScale, DXTranslate, DXMat #!EL . #!N #!I0 #!N #!F-adobe-times-bold-r-normal--18*
#!F-adobe-times-bold-r-normal--18* Matrix DXMat() #!EF #!EF #!I50 #!N Returns a Matrix with
the specified components. See #!Ldxrxyz,dxall1362 h DXRotateX, DXRotateY, DXRotateZ, DXScale, DXTranslate, DXMat #!EL . #!I0 #!N #!N #!N #!N
#!N #!F-adobe-times-medium-i-normal--18* Next Topic #!EF #!N #!N #!Lbops,dxall1112 h Basic Operations #!EL #!N #!F-adobe-times-medium-i-normal--18* #!N
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