Vertex blending: problems and solutions
Proceedings of the international conference on Mathematical methods for curves and surfaces II Lillehammer, 1997
Curves and surfaces for CAGD: a practical guide
Curves and surfaces for CAGD: a practical guide
Patch layout from feature graphs
Computer-Aided Design
The persistent morse complex segmentation of a 3-manifold
3DPH'09 Proceedings of the 2009 international conference on Modelling the Physiological Human
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A challenging problem in computer-aided geometric design is the decomposition of a surface into four-sided regions that are then represented by NURBS patches. There are various approaches published in the literature and implemented as commercially available software, but all fall short in either automation or quality of the result. At Raindrop Geomagic, we have recently taken a fresh approach based on concepts from Morse theory. This by itself is not a new idea, but we have some novel ingredients that make this work, one being a rational notion of hierarchy that guides the construction of a simplified decomposition sensitive to only the major critical points.