Fernando Martinez, Juntao Chen, et al.
AAAI 2025
We show that many fundamental algorithms and techniques for B-spline curves extend to geometrically continuous splines. The algorithms, which are all related to knot insertion, include recursive evaluation, differentiation, and change of basis. While the algorithms for geometrically continuous splines are not as computationally simple as those for B-spline curves, they share the same general structure. The techniques we investigate include knot insertion, dual functionals, and polar forms; these prove to be useful theoretical tools for studying geometrically continuous splines. © 1993 J.C. Baltzer AG, Science Publishers.
Fernando Martinez, Juntao Chen, et al.
AAAI 2025
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Mathematics
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IEEE Transactions on Pattern Analysis and Machine Intelligence
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IEEE International Symposium on Information Theory - Proceedings