Abstract
Repeated use of point projection to find the projection of a curve on a surface is rather inefficient as the iteration procedures in point projection is typically slow. A novel curve projection scheme is proposed for computing the orthogonal projection of a progenitor curve onto a parametric surface. Under this scheme, the projection curve is parameterized using the parameter of the progenitor curve. Differential geometric characteristics of the projection curve are analysed. A marching method with error adjustment is used to calculate the projection curve. Several examples are presented and comparisons are made to demonstrate the effectiveness of the proposed scheme. © 2012 Copyright Taylor and Francis Group, LLC.
| Original language | English |
|---|---|
| Pages (from-to) | 98-111 |
| Journal | International Journal of Computer Mathematics |
| Volume | 89 |
| Issue number | 1 |
| DOIs | |
| Publication status | Published - 1 Jan 2012 |
Research Keywords
- curve projection
- error adjustment
- marching
- parametric surface
- Taylor approximation
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