A horizontal shear (or shear parallel to the y axis) of lines y = b into lines y = mx + b is accomplished by the linear mapping
These are special cases of shear matrices, which allow for generalization to higher dimensions. The shear elements here are either m or 1/m, case depending.
To be more precise, if V is the direct sum of W and W′, and we write vectors as
correspondingly, the typical shear fixing W is L where
where M is a linear mapping from W′ into W. Therefore in block matrix terms L can be represented as
with blocks on the diagonal I (identity matrix), with M below the diagonal, and 0 above.
Patent No. 07602537 Issued on Oct. 13, Assigned to Canon Kabushiki Kaisha for Gamut mapping with primary color rotation
Oct 15, 2009; ALEXANDRIA, Va., Sept. 15 -- Sharon A. Henley, Rocklin J. Sloan, all of Mountain View, CA, have developed a Gamut mapping with...