Miao Jin

I have graduated and moved to the Center for Advanced Computer Studies (CACS)
in University of Louisiana at Lafayette

You will be forwarded to my new homepage in 10 seconds: http://www.cacs.louisiana.edu/~mjin

Computer Science Department
Stony Brook University
Stony Brook, New York 11794-4400

Advisor:  Xianfeng David Gu

?/span>(catch me if you can)

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Research Interests

· Geometric Modeling, Computer Graphics, Medical Imaging, Computer Vision, Computational Conformal Geometry

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Summary of Ph D. Thesis: General Surface Geometric Structures and Their Applications

Geometric structures are natural structures of surfaces, which enable different geometries to be defined on the surfaces coherently and allow general planar algorithmic constructions to be generalized onto the surfaces directly. For example, all oriented surfaces have conformal structures. We can generalize planar texture mapping, texture synthesis, remeshing and mapping algorithms to surfaces based on their conformal structures without angle distortion. Also polar form splines with planar domains can be generalized to manifold splines on the surfaces which admit affine structures and equipped with affine geometry.

Surface Ricci flow is a powerful and flexible geometric analytic tool. It is a process that deforms the Riemannian metric of the surface, with the deformation proportional to the Gaussian curvatures, and the curvatures behaving like heat diffusion. Theoretically rigorous and practically efficient methods using discrete Ricci flow have been invented to compute general geometric structures for surfaces with arbitrary topologies, like spherical structure, affine structure, hyperbolic structure, real projective structure, and conformal structure.  Differential forms is also a very useful tool to compute surfaces conformal structure and affine structure.

Applications of surface geometric structures in Engineering field:

• Computer Graphics: Optimal global conformal parameterization, Computing geodesic spectra of surfaces, Computing shape space.
• Geometric Modeling: Manifold splines with single extraordinary point.
• Medical Imaging: Conformal virtual colon flattening.
• Computer Vision: 3D surface matching and recognition using conformal geometry.

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Publications

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Discrete Surface Ricci Flow M. Jin, J. Kim, F. Luo and X. Gu, IEEE Transaction on Visualization and Computer Graphics, Vol. 14, No. 5, 2008. [PDF]

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Computing General Geometric Structures on Surfaces Using Ricci Flow M. Jin, F. Luo and X. Gu Invited to Computer Aided Design, Vol. 39, No. 8, pp. 663-675, 2007. [PDF]

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Manifold Splines with Single Extraodinary Point X. Gu, Y. He, M. Jin, F. Luo and H. Qin Invited to Computer Aided Design. [PDF] X. Gu, Y. He, M. Jin, F. Luo and H. Qin ACM Solid and Physical Modeling, pp. 61-72, 2007. [PDF]

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Computing Shortest Cycles Using Universial Covering Space X. Yin, M. Jin and X. Gu Visual Computer, Vol. 23, No. 12, pp. 999-1004, 2007.  [PDF] X. Yin, M. Jin and X. Gu Visual 10th International Conference on Computer-Aided Design and Computer Graphics, 2007. (The Best Student Paper Award) [PDF]

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Geometric Accuracy Analysis for Discrete Surface Approximation J. Dai, W. Luo, M. Jin, W. Zeng, Y. He, S-T. Yau and X. Gu Computer Aided Geometric Design, Vol. 24, No. 6, pp. 323-338, 2007.  [PDF]

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Computing Geodesic Spectra of Surfaces M. Jin, F. Luo, S-T. Yau and X. Gu ACM Solid and Physical Modeling, pp. 387-393, 2007.  [PDF]

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Conformal Geometry and Its Applications on 3D Shape Matching, Recognition and Stitching S. Wang, Y. Wang, M. Jin, X. Gu and D. Samaras IEEE Transactions on Pattern Analysis and Machine Intelligence, Vol. 29, No. 7, pp. 1209-1220, 2007.  [PDF] S. Wang, Y. Wang, M. Jin, X. Gu and D. Samaras CVPR, pp. 2453-2460, 2006. [PDF]

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Discrete Surface Ricci Flow: Theory and Applications M. Jin, J. Kim, F. Luo and X. Gu Mathematics of Surfaces XII (Invited), Vol. 4647, pp. 203-232, 2007.  [PDF]

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Globally Optimal Surface Mapping for Surfaces with Arbitrary Topology X. Li, Y. Bao, X. Guo, M. Jin, X. Gu and H. Qin to appear in IEEE Transaction on Visualization and Computer Graphics. [PDF]

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Computational Conformal Geometry Applied in Engineering Fields X. Gu, M.Jin, J.Kim and S.-T.Yau ICCM 2007 (invited talk).  [PDF]

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Computing Surface Hyperbolic Structure and Real Projective Structure M. Jin, F. Luo and X. Gu Solid and Physics Modeling, pp. 105-116, 2006. [PDF]

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Conformal Virtual Colon Flattening W. Hong, X. Gu, F. Qiu, M. Jin and A. Kaufman Solid and Physics Modeling, pp. 85-93, 2006.  [PDF]

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Topology-based Surface Mapping with Exact Feature Alignment C. Carner, M. Jin, X. Gu and H. Qin Proceedings of IEEE Visualization, pp. 543-550, 2005.  [PDF]

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Optimal Global Conformal Surface Parameterization M. Jin, Y. Wang, S-T. Yau and X. Gu Proceedings of IEEE Visualization, pp. 267-274, 2004.  [PDF] M. Jin, Y. Wang, S-T. Yau and X. Gu Communications in Information and Systems, Vol 4, No. 2, pp. 117-134, March 2005. [PDF]

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