Spherical Harmonics for Surface Parametrisation and Remeshing

被引：9

作者：

Nortje, Caitlin R. ^{[1
]}

Ward, Wil O. C. ^{[1
]}

Neuman, Bartosz P. ^{[1
]}

Bai, Li ^{[1
]}

机构：

[1] Univ Nottingham, Sch Comp Sci, Nottingham NG8 1BB, England

来源：

MATHEMATICAL PROBLEMS IN ENGINEERING | 2015年 / 2015卷

基金：

英国工程与自然科学研究理事会;

关键词：

GENERATION;

D O I：

10.1155/2015/582870

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

This paper proposes a novel method for parametrisation and remeshing incomplete and irregular polygonal meshes. Spherical harmonics basis functions are used for parametrisation. This involves least squares fitting of spherical harmonics basis functions to the surface mesh. Tikhonov regularisation is then used to improve the parametrisation before remeshing the surface. Experiments show that the proposed techniques are effective for parametrising and remeshing polygonal meshes.

引用

页数：11

共 50 条

[1] ENCODING CORTICAL SURFACE BY SPHERICAL HARMONICS
Chung, Moo K.
Hartley, Richard
Dalton, Kim M.
Davidson, Richard J.
[J]. STATISTICA SINICA, 2008, 18 (04) : 1269 - 1291
[2] Spherical parametrization and remeshing
Praun, E
Hoppe, H
[J]. ACM TRANSACTIONS ON GRAPHICS, 2003, 22 (03): : 340 - 349
[3] Amygdala surface modeling with weighted spherical harmonics
Chung, Moo K.
Nacewicz, Brendon M.
Wang, Shubing
Dalton, Kim M.
Pollak, Seth
Davidson, Richard J.
[J]. MEDICAL IMAGING AND AUGMENTED REALITY, PROCEEDINGS, 2008, 5128 : 177 - +
[4] Spherical harmonics and monopole harmonics
Fung, MK
[J]. CHINESE JOURNAL OF PHYSICS, 2000, 38 (04) : 773 - 782
[5] Surface spherical harmonics and the development of tidal generating potential
Xi, Qin-Wen
[J]. Acta Seismologica Sinica English Edition, 1998, 11 (04):
[6] The　surface　spherical　harmonics　and　the　development　of　tidal　generating　potential
[J]. Earthquake Science, 1998, (04) : 511 - 513
[7] SPHERICAL HARMONICS
SEELEY, RT
[J]. AMERICAN MATHEMATICAL MONTHLY, 1966, 73 (4P2): : 115 - &
[8] Spherical Harmonics
Atkinson, Kendall
Han, Weimin
[J]. SPHERICAL HARMONICS AND APPROXIMATIONS ON THE UNIT SPHERE: AN INTRODUCTION, 2012, 2044 : 11 - 86
[9] ON THE RELATION BETWEEN SPHERICAL HARMONICS AND SIMPLIFIED SPHERICAL HARMONICS METHODS
Coppa, G. G. M.
Giusti, V.
Montagnini, B.
Ravetto, P.
[J]. TRANSPORT THEORY AND STATISTICAL PHYSICS, 2010, 39 (2-4): : 164 - 191
[10] Spherical cap harmonics revisited and their relationship to ordinary spherical harmonics
De Santis, A
Torta, JM
Lowes, FJ
[J]. PHYSICS AND CHEMISTRY OF THE EARTH PART A-SOLID EARTH AND GEODESY, 1999, 24 (11-12): : 935 - 941

← 1 2 3 4 5 →