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Edge and vertex insertion for a class of \(C^{1}\) subdivision surfaces. (English) Zbl 0916.68151

Summary: Modeling with subdivision surfaces has been the subject of investigation by many researchers. To model most real-world objects, these subdivision schemes should have the ability to represent both sharp edges and vertices. In this paper we propose a new method for edge and vertex insertion on four-directional \(C^{1}\) quadratic box spline surfaces. Edges and vertices may be inserted into an existing smooth surface and then deformed to have tangent plane discontinuities. The approach is easy to implement and can be generalized to work on other classes of subdivision schemes.

MSC:

68U05 Computer graphics; computational geometry (digital and algorithmic aspects)
41A15 Spline approximation
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