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IMAMS
2007
245views Mathematics» more  IMAMS 2007»
13 years 9 months ago
Discrete Surface Ricci Flow: Theory and Applications
Conformal geometry is in the core of pure mathematics. Conformal structure is more flexible than Riemaniann metric but more rigid than topology. Conformal geometric methods have p...
Miao Jin, Junho Kim, Xianfeng David Gu
CVPR
2009
IEEE
15 years 2 months ago
Shape Analysis with Conformal Invariants for Multiply Connected Domains and its Application to Analyzing Brain Morphology
All surfaces can be classified by the conformal equivalence relation. Conformal invariants, which are shape indices that can be defined intrinsically on a surface, may be used t...
Paul M. Thompson, Tony F. Chan, Xianfeng Gu, Yalin...
CAD
2008
Springer
13 years 7 months ago
Geometrically exact dynamic splines
In this paper, we propose a complete model handling the physical simulation of deformable 1D objects. We formulate continuous expressions for stretching, bending and twisting ener...
Adrien Theetten, Laurent Grisoni, Claude Andriot, ...
VLSM
2005
Springer
14 years 1 months ago
Incorporating Rigid Structures in Non-rigid Registration Using Triangular B-Splines
For non-rigid registration, the objects in medical images are usually treated as a single deformable body with homogeneous stiffness distribution. However, this assumption is inval...
Kexiang Wang, Ying He 0001, Hong Qin
TASE
2008
IEEE
13 years 7 months ago
On Clamping Planning in Workpiece-Fixture Systems
Deformation at contacts between the workpiece and locators/clamps resulting from large contact forces causes overall workpiece displacement, and affects the localization accuracy o...
Caihua Xiong, Michael Yu Wang, You-Lun Xiong