Name
Abstract | ||
|---|---|---|
The discipline of computer aided geometric design provides a number of surface interpolation techniques suitable for digitally specifying topographic surfaces, including Bezier and B-splines as well as Coons patches. The latter technique, rarely used in digital terrain modelling so far, is based on an intuitive concept. In a first step, a net of boundary curves is specified. In a second step, Coons patches are specified from these curves so that the resulting surface is globally zero- or first-order continuous. This paper introduces a modification to the triangular Coons patch method allowing the consideration and modelling of breaklines. The method leaves the boundary curves representing breaklines unchanged but alters the curves leading to breakline vertices. In order to abandon first-order continuity, it introduces left- and right-side surface normals at the breakline vertices and uses a special configuration of the cross-boundary derivatives. The results are visually and quantitatively assessed. |
Year | DOI | Venue |
|---|---|---|
2005 | 10.1016/j.cageo.2004.09.006 | Computers & Geosciences |
Keywords | Field | DocType |
coons surface,resulting surface,topographic surface,first-order continuity,cross-boundary derivative,right-side surface normal,terrain modelling,triangular coons patch method,boundary curve,coons patch,breakline vertex,surface interpolation technique,tin,first order,interpolation | Computer aided geometric design,Vertex (geometry),Computer graphics (images),Computer science,Topographic map,Interpolation,Terrain,Coons patch,Bézier curve | Journal |
Volume | Issue | ISSN |
31 | 1 | Computers and Geosciences |
Citations | PageRank | References |
5 | 0.48 | 6 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Marco Hugentobler | 1 | 15 | 1.48 |
| Bernhard Schneider | 2 | 5 | 0.48 |