tform is a representation of an affine 3D transform.
Calling affine3D without parameters, (affine3d ()) produces the identity
transformation.
affine3d takes a transpose of the affine matrix as described in standard literature it performs the transformation as follows: v = (u*T)(1:3) where u = [x y z 1] and T = [a b c 0; d e f 0; g h i 0; j k l 1] [a b c; d e f; g h i] is a transposed rotation\shear matrix, [j k l] is the translation vector, where j = dx, k = dy, l = dz.
affine3d methods:
invert:
invert (tform) - produces the inverse transform of affine3d transform
isRigid:
isRigid (tform) - checks if transform tform is only rotation or translation.
isSimilarity:
isSimilarity (tform) - checks if transform tform is only homogeneous scaling,
rotation, reflection or translation.
isTranslation:
isTranslation (tform) - checks if transform tform is is a pure translation
outputLimits:
outputLimits (tform, xlims, ylims, zlims) - given a bounding cube corner
coordinates in xlims, ylims and zlims (top left front, right bottom back) -
returns the new bounding cube after transformation.
transformPointsForward:
transformPointsForward(tform, u, v, w) - apply transformation tform
on the set of u, v, w points (1xn vectors)
transformPointsForward(tform, U) - apply transformation tform
on U (3xn matrix)
transformPointsInverse:
transformPointsInverse(tform, u, v, w) - apply the inverse transformation
of tform on the set of u, v, w points (1xn vectors)
transformPointsInverse(tform, U) - apply the inverse transformation
of tform on U (3xn matrix)
See also: affine2d.
Package: image