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Quick Reference of Curve and Surface Terms

ab initio design Latin: from the beginning. Used to describe design processes in which the designer inputs his or her ideas directly into the computer, without constraints such as interpolatory constraints.

Affine combination Same as a barycentric combination.

Affine invariance A property of a curve or surface generation scheme: the same result is obtained if computation of a point on a curve or surface occurs before or after an affine map is applied to the input data.

Affine map Any map comprising translations, rotations, scalings, and shears. Maps parallels to parallels. Leaves ratios of collinear points unchanged.

Approximation Fitting a curve or surface to given data. As opposed to interpolation, ...

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