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\(C^1\)-modeling with hybrid multiple-sided \(A\)-patches. (English) Zbl 1066.68144

Summary: We propose a new scheme for modeling a smooth interpolatory surface, from a surface discretization consisting of triangles, quadrilaterals and pentagons, by algebraic surface patches which are subsets of real zero contours of trivariate rational functions defined on a collection of tetrahedra and pyramids. The rational form of the modeling function provides enough degrees of freedom so that the number of the surface patches is significantly reduced, and the surface has quadratic recover property.

MSC:

68U05 Computer graphics; computational geometry (digital and algorithmic aspects)
65D17 Computer-aided design (modeling of curves and surfaces)
68P05 Data structures
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