TY - JOUR
T1 - A novel cubic-order algorithm for approximating principal direction vectors
AU - Goldfeather, Jack
AU - Interrante, Victoria
N1 - Copyright:
Copyright 2011 Elsevier B.V., All rights reserved.
PY - 2004/1
Y1 - 2004/1
N2 - 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.
AB - 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.
KW - 3D shape
KW - Principal directions
UR - http://www.scopus.com/inward/record.url?scp=12444259267&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=12444259267&partnerID=8YFLogxK
U2 - 10.1145/966131.966134
DO - 10.1145/966131.966134
M3 - Article
AN - SCOPUS:12444259267
SN - 0730-0301
VL - 23
SP - 45
EP - 63
JO - ACM Transactions on Graphics
JF - ACM Transactions on Graphics
IS - 1
ER -