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- W1877382010 abstract "With the renewed and growing interest in geometric continuity in mind, this article gives a general definition of geometrically continuous polygonal surfaces and geometrically continuous spline functions on them. Polynomial splines defined by G1 gluing data in terms of rational functions are analyzed further. A general structure for a spline basis is defined, and a dimension formula is proved for spline spaces of bounded degree on polygonal surfaces made up of rectangles and triangles. Lastly, a comprehensive example is presented, and practical perspectives of geometric continuity are discussed. The whole objective of the paper is to put forward a modernized, practicable framework of modeling with geometric continuity." @default.
- W1877382010 created "2016-06-24" @default.
- W1877382010 creator A5078092920 @default.
- W1877382010 date "2015-10-26" @default.
- W1877382010 modified "2023-09-27" @default.
- W1877382010 title "Building geometrically continuous splines" @default.
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