There are two shear transformations X-Shear and Y-Shear. One shifts X coordinates values and other shifts Y coordinate values. However; in both the cases only one coordinate changes its coordinates and other preserves its values. Shearing is also termed as Skewing. The X-Shear preserves the Y coordinate and changes are made to X coordinates, which causes the vertical lines to tilt right or left as shown in below figure. The Y-Shear preserves the X coordinates and changes the Y coordinates which causes the horizontal lines to transform into lines which slopes up or down as shown in the following figure.
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Origin of shear transformation First recorded in — Words nearby shear transformation shears , shear strain , shear strength , shear stress , shear stud , shear transformation , shearwater , shear wave , shear zone , sheatfish , sheath. The following figures show reflections with respect to X and Y axes, and about the origin respectively. A transformation that slants the shape of an object is called the shear transformation.
There are two shear transformations X-Shear and Y-Shear. One shifts X coordinates values and other shifts Y coordinate values. However; in both the cases only one coordinate changes its coordinates and other preserves its values. Shearing is also termed as Skewing. The X-Shear preserves the Y coordinate and changes are made to X coordinates, which causes the vertical lines to tilt right or left as shown in below figure.
The Y-Shear preserves the X coordinates and changes the Y coordinates which causes the horizontal lines to transform into lines which slopes up or down as shown in the following figure. If a transformation of the plane T1 is followed by a second plane transformation T2, then the result itself may be represented by a single transformation T which is the composition of T1 and T2 taken in that order. Composite transformation can be achieved by concatenation of transformation matrices to obtain a combined transformation matrix.
The change in the order of transformation would lead to different results, as in general matrix multiplication is not cumulative, that is [A].
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