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- Diana Pekerman, Gershon Elber, Myung-Soo Kim
- Computer-Aided Design
- 2008

We present several algorithms for self-intersection detection, and possible elimination, in freeform planar curves and surfaces. Both local and global self-intersections are eliminated using a binormal-line criterion and a simple direct algebraic elimination procedure that enables the direct solution of the algebraic (self-)intersection constraints. All… (More)

We present an algorithm for answering the following fundamental question: Given two arbitrary (piecewise) polynomial curves, are they the same? This basic CAGD question is answered by first reducing the two curves into canonical irreducible forms. This is done by reversing the processes of knot refinement, degree raising, and composition. The two curves are… (More)

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