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SCALESPACE
1997
Springer
13 years 8 months ago
Scale Space Analysis by Stabilized Inverse Diffusion Equations
Abstract. We introduce a family of first-order multi-dimensional ordinary differential equations (ODEs) with discontinuous right-hand sides and demonstrate their applicability in i...
Ilya Pollak, Alan S. Willsky, Hamid Krim
CIMAGING
2008
141views Hardware» more  CIMAGING 2008»
13 years 6 months ago
Segmentation of digital microscopy data for the analysis of defect structures in materials using nonlinear diffusions
We apply stabilized inverse diffusion equations (SIDEs) to segment microscopy images of materials to aid in analysis of defects. We extend SIDE segmentation methods and demonstrat...
Landis M. Huffman, Jeff P. Simmons, Ilya Pollak
CMA
2010
134views more  CMA 2010»
13 years 2 months ago
Particle tracking for fractional diffusion with two time scales
Abstract. Previous work [51] showed how to solve time-fractional diffusion equations by particle tracking. This paper extends the method to the case where the order of the fraction...
Mark M. Meerschaert, Yong Zhang, Boris Baeumer
SCALESPACE
2005
Springer
13 years 10 months ago
Stabilised Nonlinear Inverse Diffusion for Approximating Hyperbolic PDEs
Stabilised backward diffusion processes have shown their use for a number of image enhancement tasks. The goal of this paper is to show that they are also highly useful for designi...
Michael Breuß, Thomas Brox, Thomas Sonar, Jo...
IJCV
1998
168views more  IJCV 1998»
13 years 5 months ago
Rapid Anisotropic Diffusion Using Space-Variant Vision
Many computer and robot vision applications require multi-scale image analysis. Classically, this has been accomplished through the use of a linear scale-space, which is constructe...
Bruce Fischl, Michael A. Cohen, Eric L. Schwartz