VARIATION OF GAUSSIAN CURVATURE UNDER CONFORMAL MAPPING AND ITS APPLICATION

Authors
HE M GOLDGOF DB KAMBHAMETTU C
Citation
M. He et al., VARIATION OF GAUSSIAN CURVATURE UNDER CONFORMAL MAPPING AND ITS APPLICATION, Computers & mathematics with applications, 26(1), 1993, pp. 63-74
Citations number
6
Categorie Soggetti
Computer Sciences",Mathematics,"Computer Applications & Cybernetics
Journal title
Computers & mathematics with applications → ACNP
ISSN journal
08981221
Volume
26
Issue
1
Year of publication
1993
Pages
63 - 74
Database
ISI
SICI code
0898-1221(1993)26:1<63:VOGCUC>2.0.ZU;2-Y
Abstract
We characterize conformal mapping between two surfaces, S and S, base d on Gaussian curvature before and after motion. An explicit represent ation of the Gaussian curvature after conformal mapping is presented i n terms of Riemann-Christoffel tensor and Ricci tensor and their deriv atives. Based on changes in surface curvature, we are able to estimate the stretching of non-rigid motion during conformal mapping via a pol ynomial approximation.