Moments Defined by Subdivision Curves

Authors: Jan Hakenberg, Ulrich Reif, Scott Schaefer, Joe Warren

We derive the (d+2)-linear forms that compute the moment of degree d of the area enclosed by a subdivision curve in the plane. We circumvent the need to solve integrals involving the basis function by exploiting a recursive relation and calibration that establishes the coefficients of the form within the nullspace of a matrix. For demonstration, we apply the technique to the dual three-point scheme, the interpolatory C1 four-point scheme, and the dual C2 four-point scheme.

Comments: 19 Pages.

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[v1] 2014-07-21 13:47:46

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