Piecewise Rational Manifold Surfaces with Sharp Features

  • Authors:
  • G. Vecchia;B. Jüttler

  • Affiliations:
  • Institute of Applied Geometry, Johannes Kepler University, Linz, Austria;Institute of Applied Geometry, Johannes Kepler University, Linz, Austria

  • Venue:
  • Proceedings of the 13th IMA International Conference on Mathematics of Surfaces XIII
  • Year:
  • 2009

Quantified Score

Hi-index 0.00

Visualization

Abstract

We present a construction of a piecewise rational free-form surface of arbitrary topological genus which may contain sharp features: creases, corners or cusps. The surface is automatically generated from a given closed triangular mesh. Some of the edges are tagged as sharp ones, defining the features on the surface. The surface is $\mathcal C^s$ smooth, for an arbitrary value of s , except for the sharp features defined by the user. Our method is based on the manifold construction and follows the blending approach.