Convolution surfaces based on polygonal curve skeletons

10Citations
Citations of this article
22Readers
Mendeley users who have this article in their library.

Abstract

This paper reviews and generalizes convolution surfaces, a technique used in computer graphics to generate smooth 3D volumes around skeletons that are lower dimensional or simpler geometric models of the shape to be created. Convolution surfaces are defined as level sets of a function obtained by integrating a kernel function along this skeleton. To allow interactive modeling, the technique has relied on closed form formulas for integration obtained through symbolic computation software.This paper provides new qualitative results and generalizations on the topic when the skeleton is a polygonal line. It is also an opportunity for us to introduce the field of convolution surfaces to the symbolic computation community, hoping that researchers well versed into integration techniques can bring additional contributions to this appealing shape representation. © 2011 Elsevier Ltd.

Cite

CITATION STYLE

APA

Hubert, E., & Cani, M. P. (2012). Convolution surfaces based on polygonal curve skeletons. Journal of Symbolic Computation, 47(6), 680–699. https://doi.org/10.1016/j.jsc.2011.12.026

Register to see more suggestions

Mendeley helps you to discover research relevant for your work.

Already have an account?

Save time finding and organizing research with Mendeley

Sign up for free