Original scientific paper

B-spline Patches Fitting on Surfaces and Triangular Meshes

Márta Szilvási-Nagy ; Department of Geometry, Budapest University of Technology and Economics, Budapest, Hungary
Szilvia Béla ; Department of Geometry, Budapest University of Technology and Economics, Budapest, Hungary

Abstract

In this paper a technique for the construction of quartic polynomial B-spline patches fitting on analytical surfaces and triangle meshes is presented.The input data are curvature values and principal directions at a given surface point which can be computed directly, if the surface is represented by a vector function. In the case of discrete surface representation, i.e. on a triangle mesh the required input data are computed from a circular neighborhood of a specified triangle face. Such a surface patch may replace a well defined region of the mesh, and can be used e.g. in re-triangulation, mesh-simplification and rendering algorithms.

Keywords

B-spline surface; local surface approximation; principal curvatures; triangle mesh

Hrčak ID:

77079

URI

https://hrcak.srce.hr/77079

Publication date:

29.12.2011.

Article data in other languages: croatian

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