Xin Li's Research Work
Research Focus
  • Shape Mapping (Surface Mapping and Volumetric Mapping)
  • Shape Analysis/Comparison/Retrieval
  • Shape Partitioning/Segmentation
  • Shape(Surface/Volume) Parameterization/Remeshing
    		•
    Shape Mapping Framework
    SELECTED PUBLICATIONS
    • Journal Papers
    1. (TVCG):  "Global Optimal Surface Mapping for Shapes of Arbitrary Topology" , Xin Li, Yunfan Bao, Xiaohu Guo, Miao Jin, Xianfeng Gu, Hong Qin, to appear in IEEE Transactions on Visualization and Computer Graphics (TVCG) , 2008. [video]
    2. (TASE):  "Meshless Harmonic Volumetric Mapping using Fundamental Solution Methods" , Xin Li, Xiaohu Guo, Hongyu Wang, Ying He, Xianfeng Gu, Hong Qin, to appear in IEEE Transactions on Automation Science and Engineering (TASE), 2007. [video1] [video2]
    3. (CIS):  " Curve Space: Classifying Curves on Surfaces" , Xin Li, Xianfeng Gu, Hong Qin, in Communications in Information and Systems (CIS), Vol. 7, No. 3, pp. 207-226, 2007.
    4. (TVCG):  "Meshless Thin-shell Simulation Based on Global Conformal Parameterization" , Xiaohu Guo, Xin Li , Yunfan Bao, Xianfeng Gu, Hong Qin, in IEEE Transactions on Visualization and Computer Graphics (TVCG) , Vol. 12, No. 3, pp. 375-385, 2006. [video]
    5. (TVCG):  "Spatial Analysis of News Sources" , Andrew Mehler, Yunfan Bao, Xin Li, Yue Wang, Steven Skiena, in IEEE Transactions on Visualization and Computer Graphics (TVCG) , Vol. 12, Number 5, pp. 765-772, 2006.
    6. (CAD):  "T-splines on Manifolds" Hongyu Wang, Ying He, Xin Li, Xianfeng Gu, Hong Qin, to appear in Computer Aided Design, 2008.
    7. (CIS):  "Conformal Spherical Parametrization for High Genus Surfaces" , Wei Zeng, Xin Li, Shing-Tung Yau, Xianfeng Gu, in Communications in Information and Systems, Vol. 7, No. 3, pp. 273-286, 2007.
    • Conference Papers
    1. Xin Li, , Xianfeng Gu, Hong Qin, "Surface Matching using Consistent Pants Decomposition" , to appear in ACM Solid and Physical Modeling Symposium, 2008. [video]
    2. Xin Li , Xiaohu Guo, Hongyu Wang, Ying He, Xianfeng Gu, Hong Qin, "Harmonic Volumetric Mapping for Solid Modeling Applications" , in Proc. of ACM Solid and Physical Modeling Symposium, pp. 109-120, 2007.
    3. Xin Li , Ying He, Xianfeng Gu, Hong Qin, "Curves-on-Surfaces: a general shape comparison framework" , in Proc. of IEEE International Conference of Shape Modeling, pp. 352-357, 2006.
    4. Hongyu Wang, Ying He, Xin Li , Xianfeng Gu, Hong Qin, "Polycube-map splines" , in Proc. of ACM Solid and Physical Modeling Symposium, pp. 241-251, 2007.
    5. Ying He, Xin Li , Xianfeng Gu, Hong Qin, "Brain image analysis using spherical splines" , in Proc. of Energy Minimization Methods in Computer Vision and Pattern Recognition (EMMCVPR) 05, Lecture Notes in CS, Vol. 3757, pp. 633-644, Nov. 2005.
    • Technical Reports/Presentations
    1. Xin Li , "A Shape Mapping Framework for Graphics and Visual Computing" , Ph.D. Dissertation, Technical Report, Stony Brook University(SUNY), June, 2008 (expected).
    2. Xin Li , "Shape Mapping and Its Applications" , Ph.D. Thesis Proposal, Technical Report, Stony Brook University(SUNY), Jan. 17th, 2008.
    3. Xin Li , "Shape Mapping and Its Applications" , Graphics and Visualization Student Symposium, IBM TJ Watson Research Center, Yorktown, NY, Apr. 27th, 2007.
    4. Xin Li , "Parameterization based Shape Comparison" , Master Thesis, Technical Report, Stony Brook University(SUNY), Jul. 2005.
    RESEARCH PROJECTS
    Surface Mapping using Consistent Pants Decomposition
    • A powerful topological framework to compute global piecewise mapping between surfaces of arbitrary topologies.
    • Unlike most existing techniques, we handle surfaces of arbitrary complicated topology with great automation, and also handle mapping between surfaces with different topology with great flexibility. This framework integrates user intervention on feature alignment, topological evolution surgery, and the homotopy type of mappings selection. It provides better mapping results on more complicated models, compared to other state-of-the-art mapping techniques.
    • Based on algebraic topology, the decomposition is implemented using the Dijkstra algorithm.
    • Xin Li, Xianfeng Gu, Hong Qin, "Surface Mapping using Consistent Pants Decomposition", accepted to ACM Solid and Physic Modeling Symposium 2008. [paper] [video]
    • invited to IEEE Trans. Visualization and Computer Graphics.
    Globally Optimal Mapping for Surfaces of Arbitrary Topology
    • The first work rigorously computes a globally distortion-minimized mapping between surfaces with nontrivial topology.
    • Unlike most existing techniques, which tackle the surface mapping computation by hueristic segmentation followed by local optimization, our method relies solidly on Riemannian Geometry as well as rigorous mathematical analysis, and guarantees convergence to the globally unique result with minimized stretching energy
    • Xin Li, Yunfan Bao, Xiaohu Guo, Miao Jin, Xianfeng Gu, Hong Qin, "Globally Optimal Surface Mapping between Surfaces with Arbitrary Topology", accepted to IEEE Trans. Visualization and Computer Graphics 2008. [paper] [video]
    Harmonic Volumetric Mapping
    • An automatic and effective algorithm for computing harmonic volumetric map between solid models of the same topology.
    • Given a boundary surface mapping between two models, the volumetric (interior) mapping is derived by solving a linear system constructed from a boundary method called the fundamental solution method.
    • We demonstrate the computation result as well as the strong potential of volumetric mapping in many applications such as shape registration, comparison, deformation sequence analysis, tetrahedral remeshing and solid texture synthesis.
    • Xin Li, Xiaohu Guo, Hongyu Wang, Ying He, Xianfeng Gu, Hong Qin, ''Meshless Harmonic Volumetric Mapping using Fundamental Solution Methods'', accepted by IEEE Trans. of Automation, Sciences and Engineering. [paper] [video]
    • Xin Li, Xiaohu Guo, Hongyu Wang, Ying He, Xianfeng Gu, Hong Qin, "Harmonic Volumetric Mapping for Solid Modeling Applications", in Proc. ACM Solid and Physical Modeling Symposium, pp. 109-120, 2007. [paper] [slides] [web]
    Polycube Spline
    • We develop new modeling techniques for using the polycube splines in solid modeling and shape computing.
    • The spline is constructed on the polycube domain, based on the surface mapping between the given object and the polycube model.
    • Hongyu Wang, Ying He, Xin Li, Xianfeng Gu, Hong Qin, "Polycube Splines", in Proc. ACM Solid and Physical Modeling Symposium, pp. 247-251, 2007. [paper]
    Matching Curves on Surfaces
    • We design a conformal invariant as signature for simple closed curves on arbitrary genus zero surface, which provides a classification for curves on surface.
    • We present a surface segmentation and matching framework based on curve matching and transfer using curve signatures. With such a mapping, surface difference distributions quantified and visualized.
    • Xin Li, Xianfeng Gu, Hong Qin, "Curves Space: Classifiying Curves on Surfaces", accepted to Communications in Information and Systems. [paper]
    • Xin Li, Ying He, Xianfeng Gu, Hong Qin, "Curves-On-Surface: A General Shape Comparison Framework", in Proc. of the IEEE International Conference on Shape Modeling and Applications 2006, pp. 352- 357, Matsushima, Japan. [paper] [slides] [web]
    Point-Cloud Surface Mapping for Meshless Simulation
    • We design a new approach for the meshless thin-shell elastic deformation and fracture simulation of point-sampled geometry.
    • The deformation and crack are computed on planar domain, based on the global conformal mapping from the point cloud surface onto plane (as called point-surface parameterization).
    • Xiaohu Guo, Xin Li, Yunfan Bao, Xianfeng Gu, Hong Qin, "Meshless Thin-shell Simulation Based on Global Conformal Parameterization", in IEEE Transactions on Visualization and Computer Graphics, Vol. 12, No. 3, pp. 375-385, 2006. [paper] [video][web]
    Brain Image Analysis using Spherical Mapping and Spherical Splines
    • We design an automatic and efficient algorithm to transform a brain surface to a single spherical spline with maximal error deviation from the original data less than the user-specified tolerance. Our algorithms is robust and accurate for brain surface segmentation, gyri and sulci tracing.
    • The brain cortex surfaces are matched based on spline representation. The matching are conducted on spherical domain by composing conformal mapping between brain cortex surfaces and unit sphere.
    • Ying He, Xin Li, Xianfeng Gu, Hong Qin, "Brain image analysis using spherical splines", in Proc. of the 5th International Workshop on Energy Minimization Methods in Computer Vision and Pattern Recognition (EMMCVPR' 05), Lecture Notes in Computer Science, Volume 3757, pp. 633-644, November 2005. [paper] [web]
    News Analysis using Heat Maps
    • We developed a prototype geographic news analysis and visualization system called "HeatMap". This project is part of the Lydia system and is carried out under the supervision of Prof. Steve Skiena.
    • For any given entity in the news, we model the relative amount of exposure this entity has received over a given period of time at every locale in the United States. The value of such analysis for market research and reputation assessment should be clear.
    • Andrew Mehler, Yunfan Bao, Xin Li, Yue Wang, Steven Skiena, "Spatial Analysis of News Sources", in IEEE Transactions on Visualization and Computer Graphics (Proceedings Visualization / Information Visualization 2006), Volume 12, Number 5, pp. 765-772. [paper] [web]
     
    and more on-going projects are coming...
     

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