Conformal geometry and its applications on 3d shape matching, recognition, and stitching (2009)
Sen Wang, Yang Wang, Miao Jin, Xianfeng David Gu, Dimitris Samaras
Abstract—Three-dimensional shape matching is a fundamental issue in computer vision with many applications such as shape registration, 3D object recognition, and classification. However, shape...
Conformal geometry and its applications on 3d shape matching, recognition, and stitching (2008)
Sen Wang, Yang Wang, Miao Jin, Xianfeng David Gu, Dimitris Samaras
Abstract—Three-dimensional shape matching is a fundamental issue in computer vision with many applications such as shape registration, 3D object recognition, and classification. However, shape...
Abstract Computing General Geometric Structures on Surfaces Using Ricci Flow (2008)
Miao Jin, Feng Luo, Xianfeng David Gu
Systematically generalizing planar geometric algorithms to manifold domains is of fundamental importance in computer aided design field. This paper proposes a novel theoretic framework, geometric...
Discrete surface ricci flow: Theory and applications (2007)
Miao Jin, Junho Kim, Xianfeng David Gu
Abstract. 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 played...
Geometric Accuracy Analysis for Discrete Surface Approximation (2006)
Junfei Dai, Wei Luo, Shing-tung Yau, Xianfeng David Gu
In geometric modeling and processing, computer graphics, smooth surfaces are approximated by discrete triangular meshes reconstructed from sample points on the surface. A fundamental problem is to...