CCB Special Interest Group on Partial Differential Equations (SIG-PDE)

• SIG-PDE Members: LuminitaVese^?, YalinWang, LokMingLui, YonggangShi, IvoDinov, IgorYanovsky
  • SIG-PDE Chair: Luminita Vese
  • CCB Groups: CCB SIGs
• Meeting Schedule: Wednesdays, 2 to 3pm, Math Sciences Building 6627 (exceptions appear in the announcements below) - see http://www.math.ucla.edu/~lvese/
• Project Description
  • CCB SIG-PDE is an interest group that studies computational imaging problems using PDEs, Level-Sets, numerical methods and other applied mathematics techniques.
  • SIG-PDE problems include:
    • Image Registration
    • Segmentation/Tissue Classification
    • Skull-Stripping
    • Region extraction and brain parcellation
• Program: Announcements (news and presentations) will be posted here as they become available in chronological order.

Meetings

• Wednesday, October 15, 2008, 3-4PM, MS 7619: Presenter: Yunho Kim
  • Title: Image Recovery Using Functions of Bounded Variation and Sobolev Spaces of Negative Differentiability
• Thursday, October 2, 2008, 2pm, location MS 6627: Speaker John Wright, visiting PhD student, University of Illinois at Urbana-Champaign
  • Title: Dense Error Correction via $L^1$-Minimization

Presentations by Igor Yanovsky, October 18 and 25, November 1

Volume Preserving Model for Fluid Image Registration. The most relevant model that was developed before is the viscous fluid model of Christensen, Rabbitt, and Miller. In their model, the deforming template is considered as a viscous fluid whose motion is governed by its Navier-Stokes equation of the conservation of momentum. However, their model does not preserve the volume, that is, the Jacobian values of the deformation are not distributed uniformly over homogeneous regions. We enforce the volume-preserveness.

Presentation by Jian Ye, November 15

Will speak about shape representation.

Presentation by Tungyou, November 29

Will talk about optical flow problems.

Presentation by Tungyou, December 6

Continue presentation about optical flow problems and discuss it in the context of image registration.