Search For:

Displaying 1-15 out of 15 total
Compression of surface registrations using Beltrami coefficients
Found in: Computer Vision and Pattern Recognition, IEEE Computer Society Conference on
By Lok Ming Lui, Tsz Wai Wong, Paul Thompson, Tony Chan, Xianfeng Gu, Shing-Tung Yau
Issue Date:June 2010
pp. 2839-2846
Surface registration is widely used in machine vision and medical imaging, where 1-1 correspondences between surfaces are computed to study their variations. Surface maps are usually stored as the 3D coordinates each vertex is mapped to, which often requir...
 
Segmentation and Tracking of 3D Neuron Microscopy Images using a PDE Based Method and Connected Component Labeling algorithm
Found in: Life Science Systems and Applications Workshop
By Yalin Wang, Ilhwan Jo, S. Wong, Shing-Tung Yau, T.F. Chan
Issue Date:July 2006
pp. 1-2
In this paper we introduce our preliminary research results for segmentation and labeling of 3-dimensional microscopy neuron image. We segment each of stacked 2-dimensional image slices using a partial differential equation (PDE) based algorithm and projec...
 
Surface Parameterization Using Riemann Surface Structure
Found in: Computer Vision, IEEE International Conference on
By Yalin Wang, Xianfeng Gu, Kiralee M. Hayashi, Tony F. Chan, Paul M. Thompson, Shing-Tung Yau
Issue Date:October 2005
pp. 1061-1066
We propose a general method that parameterizes general surfaces with complex (possible branching) topology using Riemann surface structure. Rather than evolve the surface geometry to a plane or sphere, we instead use the fact that all orientable surfaces a...
 
Optimal Global Conformal Surface Parameterization
Found in: Visualization Conference, IEEE
By Miao Jin, Yalin Wang, Shing-Tung Yau, Xianfeng Gu
Issue Date:October 2004
pp. 267-274
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, such as heat diffusion and electro-magnetic fields on the su...
 
Surface Classification Using Conformal Structures
Found in: Computer Vision, IEEE International Conference on
By Xianfeng Gu, Shing-Tung Yau
Issue Date:October 2003
pp. 701
3D surface classification is a fundamental problem in computer vision and computational geometry. Surfaces can be classified by different transformation groups. Traditional classification methods mainly use topological transformation groups and Euclidean t...
 
Shape Analysis of Planar Multiply-Connected Objects Using Conformal Welding
Found in: IEEE Transactions on Pattern Analysis and Machine Intelligence
By Lok Ming Lui,Wei Zeng,Shing-Tung Yau,Xianfeng Gu
Issue Date:July 2014
pp. 1-1
Shape analysis is a central problem in the field of computer vision. In 2D shape analysis, classification and recognition of objects from their observed silhouettes are extremely crucial but difficult. It usually involves an efficient representation of 2D ...
 
Nonlinearly Constrained MRFs: Exploring the Intrinsic Dimensions of Higher-Order Cliques
Found in: 2013 IEEE Conference on Computer Vision and Pattern Recognition (CVPR)
By Yun Zeng,Chaohui Wang,Stefano Soatto,Shing-Tung Yau
Issue Date:June 2013
pp. 1706-1713
This paper introduces an efficient approach to integrating non-local statistics into the higher-order Markov Random Fields (MRFs) framework. Motivated by the observation that many non-local statistics (e.g., shape priors, color distributions) can usually b...
 
Hyperbolic Harmonic Mapping for Constrained Brain Surface Registration
Found in: 2013 IEEE Conference on Computer Vision and Pattern Recognition (CVPR)
By Rui Shi,Wei Zeng,Zhengyu Su,Hanna Damasio,Zhonglin Lu,Yalin Wang,Shing-Tung Yau,Xianfeng Gu
Issue Date:June 2013
pp. 2531-2538
Automatic computation of surface correspondence via harmonic map is an active research field in computer vision, computer graphics and computational geometry. It may help document and understand physical and biological phenomena and also has broad applicat...
 
Computing geodesic spectra of surfaces
Found in: Proceedings of the 2007 ACM symposium on Solid and physical modeling (SPM '07)
By Feng Luo, Miao Jin, Shing-Tung Yau, Xianfeng Gu
Issue Date:June 2007
pp. 387-393
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 has infinite conformally equivalent classes. This paper ...
     
Manifold splines with single extraordinary point
Found in: Proceedings of the 2007 ACM symposium on Solid and physical modeling (SPM '07)
By Feng Luo, Hong Qin, Miao Jin, Shing-Tung Yau, Xianfeng Gu, Ying He
Issue Date:June 2007
pp. 61-72
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 central idea and new computational paradigm of manifold spli...
     
High-resolution, real-time-geometry video acquisition
Found in: ACM SIGGRAPH 2006 Sketches (SIGGRAPH '06)
By Dale Royer, Shing-Tung Yau, Song Zhang
Issue Date:July 2006
pp. 110-es
We have developed a new physically-based technique for computing soft shadows from a shadow map for spherical lights. Shadow-map samples unprojected into world-space (micro-patches) are culled against a shadow cone wrapping all the possible shadow rays fro...
     
High-resolution, real-time-geometry video acquisition system
Found in: ACM SIGGRAPH 2006 Emerging technologies (SIGGRAPH '06)
By Dale Royer, Shing-Tung Yau, Song Zhang
Issue Date:July 2006
pp. 14-es
The Embossed Touch Display is a novel tactile display that can present any given width of objects. When we touch objects in space, we actively move our hands and fingers. Due to this active touch movement, we can perceive the shape of an object, even thoug...
     
High-resolution, real-time-geometry video acquisition
Found in: Material presented at the ACM SIGGRAPH 2006 conference (SIGGRAPH '06)
By Dale Royer, Shing-Tung Yau, Song Zhang
Issue Date:July 2006
pp. 110-es
We have developed a new physically-based technique for computing soft shadows from a shadow map for spherical lights. Shadow-map samples unprojected into world-space (micro-patches) are culled against a shadow cone wrapping all the possible shadow rays fro...
     
High-resolution, real-time-geometry video acquisition system
Found in: Material presented at the ACM SIGGRAPH 2006 conference (SIGGRAPH '06)
By Dale Royer, Shing-Tung Yau, Song Zhang
Issue Date:July 2006
pp. 14-es
The Embossed Touch Display is a novel tactile display that can present any given width of objects. When we touch objects in space, we actively move our hands and fingers. Due to this active touch movement, we can perceive the shape of an object, even thoug...
     
Holoimages
Found in: Proceedings of the 2006 ACM symposium on Solid and physical modeling (SPM '06)
By Liangjun Zhang, Peisen Huang, Ralph Martin, Shing-Tung Yau, Song Zhang, Xianfeng Gu
Issue Date:June 2006
pp. 129-138
We introduce a novel geometric representation called the holoimage, which encodes both shading and geometry information within the same image, based on the principles of wave optics. 'Image' referes to the representation and records the amplitude of the li...
     
 1