A novel cubic-order algorithm for approximating principal direction vectors

Jack Goldfeather, Victoria Interrante

Research output: Contribution to journalArticle

210 Scopus citations

Abstract

There are a number of applications in computer graphics that require as a first step the accurate estimation of principal direction vectors at arbitrary vertices on a triangulated surface. Although several methods for calculating principal directions over such models have been previously proposed, we have found in practice that all exhibit unexplained large errors in some cases. In this article, we describe our theoretical and experimental investigations into possible sources of errors in the approximation of principal direction vectors from triangular meshes, and suggest a new method for estimating principal directions that can yield better results under some circumstances.

Original languageEnglish (US)
Pages (from-to)45-63
Number of pages19
JournalACM Transactions on Graphics
Volume23
Issue number1
DOIs
StatePublished - Jan 1 2004

Keywords

  • 3D shape
  • Principal directions

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