Dart throwing on surfaces

D. Cline, S. Jeschke, K. White, A. Razdan, P. Wonka

Research output: Contribution to journalArticle

56 Scopus citations

Abstract

In this paper we present dart throwing algorithms to generate maximal Poisson disk point sets directly on 3D surfaces. We optimize dart throwing by efficiently excluding areas of the domain that are already covered by existing darts. In the case of triangle meshes, our algorithm shows dramatic speed improvement over comparable sampling methods. The simplicity of our basic algorithm naturally extends to the sampling of other surface types, including spheres, NURBS, subdivision surfaces, and implicits. We further extend the method to handle variable density points, and the placement of arbitrary ellipsoids without overlap. Finally, we demonstrate how to adapt our algorithm to work with geodesic instead of Euclidean distance. Applications for our method include fur modeling, the placement of mosaic tiles and polygon remeshing.

Original languageEnglish (US)
Pages (from-to)1217-1226
Number of pages10
JournalComputer Graphics Forum
Volume28
Issue number4
DOIs
StatePublished - Jan 1 2009

ASJC Scopus subject areas

  • Computer Graphics and Computer-Aided Design

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    Cline, D., Jeschke, S., White, K., Razdan, A., & Wonka, P. (2009). Dart throwing on surfaces. Computer Graphics Forum, 28(4), 1217-1226. https://doi.org/10.1111/j.1467-8659.2009.01499.x