Welcome to Xianming Chen's homepage. I am a Ph.D. candidate at the School of Computing, University of Utah. I have been working in the Geometric Design and Computation group (GDC) directed by Elaine Cohen, and Richard Riesenfeld who is also my advisor. I am currently working on computational geometry algorithms related to a manufacturing automation project at Siemens Technology-To-Business center, Berkeley, CA, and I will be back to Utah to defense my thesis December 2007.

For recruiters,
Mathematics and programming have been my main focus at Utah, and if this sounds interesting to you, you might want to see more details in my resume.

Journal Publication	Conference Publication	Teaching	Software	Miscellaneous

Ph.D. Thesis

Dynamic Geometric Computation by Singularity Detection and Shape Analysis.

Detailed Abstract
Demo Video


Research

• Journal Publication
  • An Algorithm for Direct B-spline Multiplication
    Xianming Chen, Richard Riesenfeld, Elaine Cohen
    To appear in IEEE T-ASE 2007
  • Tracking Intersection Curves of Two Deforming Surfaces
    Xianming Chen, Richard Riesenfeld, Elaine Cohen, James Damon
    To appear in Computer Aided Design, GMP 206 special issue.
  • Degree Reduction for NURBS Symbolic Computation on Curves
    Xianming Chen, Richard Riesenfeld, Elaine Cohen,
    To appear in International Journal of Shape Modeling, SMI 2006 special issue.
  • Mold Accessibility via Gauss Map Analysis
    Gershon Elber, Xianming Chen, Elaine Cohen,
    ASME Transactions, Journal of Computing & Information Science in Engineering, special issue on SMI 2004, June 2005.
    
  
  
• Conference Publication
  • Sliding-Windows Algorithm for B-spline Multiplication
    Xianming Chen, Richard Riesenfeld, Elaine Cohen
    ACM SPM 2007
    
  • Tracking Intersection Curves of Two Deforming Surfaces
    Xianming Chen, Richard Riesenfeld, Elaine Cohen, James Damon
    Springer-Verlag Lecture Notes in Computer Science 4077 (GMP 2006): 101-114
    Presentation at GMP'06
  • Dynamic Curve-Point Critical Distances
    Xianming Chen, Elaine Cohen, Richard Riesenfeld
    Springer-Verlag Lecture Notes in Computer Science 4077 (GMP 2006): 87-100
    Presentation at GMP'06
  • Degree Reduction for NURBS Symbolic Computation on Curves
    Xianming Chen, Richard Riesenfeld, Elaine Cohen,
    IEEE Shape Modeling and Applications 2006: 182-193 powerpoint slides
    
  • Rational Bezier Patch Differentiation using the Rational Forward Difference Operator
    Xianming Chen, Richard F. Riesenfeld, Elaine Cohen
    IEEE Computer Graphics International 2005: 129-134 Presentation at CGI'05 Images
    
  • Mold Accessibility via Gauss Map Analysis
    Gershon Elber, Xianming Chen, Elaine Cohen,
    Shape Modeling International (SMI) 2004:263-272.

Teaching

These are the web pages of the course I taught at Columbia University summer 2004.
Columbia Summer High School Program Graphics Course: Session 1
Columbia Summer High School Program Graphics Course: Session 2


Software
sShape is an ongoing project of geometric modeling with B-spline, emphasizing on the differential and topological problems related to geometric modeling. Closely related to my Ph.D. dissertation,singularity detection and analysis have their major plays in some components of sShape.

Some example images generated using sShape


euler: euler: A C++ implementation of the Geometric WorkBench by Martti Mantyla, as described in his book:
An Introduction to Solid Modeling (1988).



Miscellaneous

• I once planned to work on physically realistic rendering, and have spent much time on these course works.
  Ray Tracer projects in the class Ray Tracing
  Image Synthesis projects in the class Image Synthesis