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Title: Modelling special effects with the tangent scheme
Authors: Vanraes, Evelyne ×
Bultheel, Adhemar #
Issue Date: 2005
Publisher: Nashboro Press
Host Document: Mathematical Methods for Curves and Surfaces, Tromsø, 2004 pages:363-372
Conference: 6th International Conference on Mathematical methods for curves and surfaces location:Tromsø, Norway date:July 1-6, 2004
Abstract: Subdivision is a powerful mechanism for the construction of smooth curves and surfaces. Recently we developed a new scheme that incorporates information on the tangents and normals. It is a generalization of a uniform dyadic subdivision scheme for C^1 continuous quadratic Powell-Sabin splines to arbitrary topologies. Instead of a control point there is for each vertex a control triangle that is tangent to the surface. It is a spline based scheme, but unlike other spline subdivision schemes, it is not approximating but interpolating in the tangent point. In this paper we illustrate how this scheme can be used to model piecewise smooth surfaces. In particular a control triangle that degenerates to a point leads to a sharp feature.
URI: 
ISBN: 0-9728482-4-X
Publication status: published
KU Leuven publication type: IC
Appears in Collections:NUMA, Numerical Analysis and Applied Mathematics Section
× corresponding author
# (joint) last author

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