KoG, Vol. 15. No. 15., 2011.
Izvorni znanstveni članak
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
Sažetak
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.
Ključne riječi
B-spline surface; local surface approximation; principal curvatures; triangle mesh
Hrčak ID:
77079
URI
Datum izdavanja:
29.12.2011.
Posjeta: 2.675 *