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About: Tapering (mathematics)     Goto   Sponge   NotDistinct   Permalink

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In mathematics, physics, and theoretical computer graphics, tapering is a kind of shape deformation. Just as an affine transformation, such as scaling or shearing, is a first-order model of shape deformation, tapering is a higher order deformation just as twisting and bending. Tapering can be thought of as non-constant scaling by a given tapering function. The resultant deformations can be linear or nonlinear. To create a nonlinear taper, instead of scaling in x and y for all z with constants as in: let a and b be functions of z so that: An example of a linear taper is , and a quadratic taper .