Welcome to Geometry Processor

Geometry Processor is a research team working on computational geometric processing. In this website, you can find detailed information about our research. Generally speaking, our research focuses on computational quasi-conformal geometry and its applications. The main goal is to develop computational quasi-conformal theories on discrete objects, with different applications in medical imaging, surface registration, data processing, shape analysis, computer graphics and so on.


Over the years, different researchers from various institutions have collaborated with us on different projects, such as:
  • Prof. Shing-Tung Yau (Department of Mathematics, Harvard University)
  • Prof. Tony F. Chan (President, Hong Kong University of Science and Technology)
  • Prof. Xianfeng Gu (Department of Computer Sciences, Stony Brook University)
  • Prof. Paul M. Thompson (Laboratory of Neuroimaging, UCLA School of Medicine)
  • Dr. Ronald Lok Ming Lui (Department of Mathematics, Harvard University)
  • Dr. Wei Zeng (Department of Computer Sciences, Stony Brook University)
  • Mr. Tsz Wai Wong (Department of Mathematics, UCLA)
  • Dr. Yalin Wang (Department of Mathematics, UCLA; Laboratory of Neuroimaging, UCLA School of Medicine)
and many other collaborators from the mathematics department, engineering school and medical school.


Projects:

  • Optimization of surface registration using Beltrami Holomorphic Flow
  • Computing Quasi-conformal map using discrete Yamabe flow 
  • Shape Signature for multiply-connected objects
  • Hippocampal shape analysis using mu and ICA
  • Teichmuller extremal map between multiply-connected objects
  • Multiscale representation of surface registration
  • Video compression using Beltrami coefficient
  • Shape index: mu + H + K
  • Least Square Quasiconformal map
  • Volumetric shape analysis using Beltrami coefficient

News:

  • Our team will present our work on "compression of surface registration using BCs" in CVPR 2010 (June 17, 2010)
  • Our team will present our work on "BHF hippocampal surface registration in MICCAI 2010 (September, 2010)
  • Our team will present our work on "shape analysis Using geodesic spectra" in MICCAI 2010 (September, 2010)