Mathematics and Statistics Vol. 2(5), pp. 188 - 202
DOI: 10.13189/ms.2014.020505
Reprint (PDF) (155Kb)

Generating Smooth Surfaces by Refinement of Curves

Uri Itai ^*
Department of Mathematics, Technion, Haifa, Israel

ABSTRACT

Generalization of subdivision schemes refining points to schemes refining more complex geometric objects has become popular in recent years. In this paper we generalize corner-cutting schemes in order to refine curves taking into account the geometry of the curves. We provide conditions guaranteeing that these schemes are well defined and converge to surfaces with contentious tangents.

KEYWORDS
Subidivision, Refinement, Curves, Surfaces

Cite This Paper in IEEE or APA Citation Styles
(a). IEEE Format:
[1] Uri Itai , "Generating Smooth Surfaces by Refinement of Curves," Mathematics and Statistics, Vol. 2, No. 5, pp. 188 - 202, 2014. DOI: 10.13189/ms.2014.020505.

(b). APA Format:
Uri Itai (2014). Generating Smooth Surfaces by Refinement of Curves. Mathematics and Statistics, 2(5), 188 - 202. DOI: 10.13189/ms.2014.020505.