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...
Conformal surface parameterization using euclidean ricci flow (2008)
Miao Jin, Juhno Kim, Feng Luo, Seungyong Lee, Xianfeng Gu
Surface parameterization is a fundamental problem in graphics. Conformal surface parameterization is equivalent to finding a Riemannian metric on the surface, such that the metric is conformal to the...
ACCEPTED MANUSCRIPT Geometric Accuracy Analysis for Discrete Surface Approximation (2008)
Junfei Dai, Wei Luo, Miao Jin, Wei Zeng, Ying He, Shing-tung Yau, ...
doi: 10.1016/j.cagd.2007.04.004 This is a PDF file of an unedited manuscript that has been accepted for publication. As a service to our customers we are providing this early version of the...
Feng-Luo † Rutgers University (2008)
Figure 1: The hyperbolic structure and real projective structure of a genus two closed surface. From left to right, the original surface with a set of canonical fundamental group basis; the isometric...
Conformal geometry and its applications on 3d shape matching, recognition, and stitching (2008)
Sen Wang, Yang Wang, Miao Jin, Xianfeng Gu, Dimitris Samaras
3D shape matching is a fundamental issue in computer vision with many applications such as shape registration, 3D object recognition and classification. However, shape matching with noise, occlusion...
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...
Globally optimal surface mapping for surfaces with arbitrary topology (2008)
Xin Li, Yunfan Bao, Xiaohu Guo, Miao Jin, Xianfeng Gu, Hong Qin
Abstract — Computing smooth and optimal one-to-one maps between surfaces of same topology is a fundamental problem in graphics and such a method provides us a ubiquitous tool for geometric modeling...
Globally optimal surface mapping for surfaces with arbitrary topology (2008)
Xin Li, Yunfan Bao, Xiaohu Guo, Miao Jin, Xianfeng Gu, Hong Qin
Abstract — Computing smooth and optimal one-to-one maps between surfaces of same topology is a fundamental problem in computer graphics and such a method provides us a ubiquitous tool for geometric...
Computing geodesic spectra of surfaces (2007)
Surface classification is one of the most fundamental problems in geometric modeling. Surfaces can be classified according to their conformal structures. In general, each topological equivalent class...
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...
Manifold splines with single extraordinary point (2007)
Xianfeng Gu, Ying He, Miao Jin
This paper develops a novel computational technique to define and construct powerful manifold splines with only one singular point by employing the rigorous mathematical theory of Ricci flow. The...
3d surface matching and recognition using conformal geometry (2006)
Sen Wang, Yang Wang, Miao Jin, Xianfeng Gu, Dimitris Samaras
3D surface matching is a fundamental issue in computer vision with many applications such as shape registration, 3D object recognition and classification. However, surface matching with noise,...
Conformal virtual colon flattening (2006)
Wei Hong, Xianfeng Gu, Feng Qiu, Miao Jin, Arie Kaufman
Figure 1: Conformal Virtual Colon Flattening: (a) illustrates the holomorphic one-form on the colon surface by texture-mapping a checker board image. (b) exhibits the conformal flattening induced by...
3d surface matching and recognition using conformal geometry (2006)
Sen Wang, Yang Wang, Miao Jin, Xianfeng Gu, Dimitris Samaras
3D surface matching is a fundamental issue in computer vision with many applications such as shape registration, 3D object recognition and classification. However, surface matching with noise,...
Topology-driven surface mappings with robust feature alignment (2005)
Christopher Carner, Miao Jin, Xianfeng Gu, Hong Qin
Figure 1: Surface mapping between horse and lizard. The color-coding shows the mapping of each region, guided by eight user-specified feature curves. Our topology-driven method provides mappings of...
Topology-driven surface mappings with robust feature alignment (2005)
Christopher Carner, Miao Jin, Xianfeng Gu, Hong Qin
Figure 1: Surface mapping between horse and lizard. The color-coding shows the mapping of each region, guided by eight user-specified feature curves. Our topology-driven method provides mappings of...
Topology-driven surface mappings with robust feature alignment (2005)
Christopher Carner, Miao Jin, Xianfeng Gu, Hong Qin
Figure 1: Surface mapping between horse and lizard. The color-coding shows the mapping of each region, guided by eight user-specified feature curves. Our topology-driven method provides mappings of...
A C 1 globally interpolatory spline of arbitrary topology (2005)
Ying He, Miao Jin, Xianfeng Gu, Hong Qin
Abstract. Converting point samples and/or triangular meshes to a more compact spline representation for arbitrarily topology is both desirable and necessary for computer vision and computer graphics....
Optimal Global Conformal Surface Parameterization for Visualization (2004)
Gu, Xianfeng, Jin, Miao, Wang, Yalin, Yau, Shin-Tung
All orientable metric surfaces are Riemann surfaces and admit global conformal parameterizations. Riemann surface structure is a fundamental structure and governs many natural physical phenomena,...
Optimal global conformal surface parameterization (2004)
Miao Jin, Yalin Wang, Shing-tung Yau, Xianfeng Gu
Figure 1: Uniform global conformal parameterization ((a) and (b)) and region emphasized conformal parameterization ((c) and (d)). (a). Least uniform conformal parameterization with energy: 21.208e...
Optimal global conformal surface parameterization (2004)
Miao Jin, Yalin Wang, Shing-tung Yau, Xianfeng Gu
Figure 1: Uniform global conformal parameterization ((a) and (b)) and region emphasized conformal parameterization ((c) and (d)). (a). Least uniform conformal parameterization with energy: 21.208e...