Contour lines of a C1 surface defined over a triangulation

Marc Daniel

doi:10.1117/12.135156

1 February 1992 Contour lines of a C¹ surface defined over a triangulation

Marc Daniel

Proceedings Volume 1610, Curves and Surfaces in Computer Vision and Graphics II; (1992) https://doi.org/10.1117/12.135156
Event: Robotics '91, 1991, Boston, MA, United States

Abstract

We describe a method for finding contour lines of a C1 surface on which could exist edges with only C continuity. The grid, support of the marching step for every lines, is a triangular one. Each triangle of the initial triangulation is uniformly subdivided with an independant depth of recursivity controled by the lengths of its subtriangles edges and the altitude differences between the associated vertices. Subtriangles in each triangle are numbered. Countouring is based on a set of functions supplying the connections between subtriangles and triangles. Break line crossings are detected. As in every intersection problems, the processing of particular cases entails an important increase of complexity. Solutions are given. Optional Bsplines smoothing of contour lines is provided. It preserves existing ridges. Adaptable G1 continuity at junction points of closed curves is supplied.

Citation Download Citation

Marc Daniel "Contour lines of a C¹ surface defined over a triangulation", Proc. SPIE 1610, Curves and Surfaces in Computer Vision and Graphics II, (1 February 1992); https://doi.org/10.1117/12.135156

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