Mini-Symposium on Analysis of PDEs from Image processing


(At the SIAM Conference on Analysis of Partial Differential Equations 2013 Conference)


You can see the SIAM PD13 presentations here: http://tinyurl.com/mxrmjoq
Photos @ Facebook (No log-in required)

Date: Saturday, December 7, 2013
Time: 10:00 AM - 12:00 PM

Room: Narcissus/Orange - Mezzanine Level

Location:
Room: Narcissus/Orange - Mezzanine Level
Hilton Orlando Lake Buena Vista
1751 Hotel Plaza Blvd.
Lake Buena Vista, FL 32830 USA
Phone Number: +1-407-827-4000



SIAM Mini-symposium Number: MS6


Organizers: Surya Prasath (University of Missouri-Columbia, USA)


Tentative Schedule:
1. Patrick Guidotti (University of California, Irvine, USA)
Title:A Forward-backward Regularization of the Perona-Malik Equation
Abstract
In this talk we will survey recent developments in the analysis of the Perona-Malik equation as well as related models with particular emphasis on a forward-backward regularization which turns out to be well-posed in the sense of weak Young measure solutions.
2. Stacey Levine (Duquesne University, USA)
Title:Denoising an Image by Denoising its Curvature Image
Abstract
In this work we argue that when an image is corrupted by additive noise, its curvature image is less affected by it, i.e. the PSNR of the curvature image is larger. We speculate that, given a denoising method, we may obtain better results by applying it to the curvature image and then reconstructing from it a clean image, rather than denoising the original image directly. Numerical experiments confirm this for several PDE-based and patch-based denoising algorithms.
3. James Lambers (University of Southern Mississippi, USA)
Title:Numerical Implementation of a New Class of Forward-backward-forward Diffusion Equations for Image Restoration
Abstract
In this talk, we present the implementation and numerical experiments demonstrating new forward-backward-forward nonlinear diffusion equations for noise reduction and deblurring, developed in collaboration with Patrick Guidotti and Yunho Kim. The new models preserve and enhance the most desirable aspects of the closely-related Perona-Malik equation without allowing staircasing. By using a Krylov subspace spectral (KSS) method for time-stepping, the properties of the new models are preserved without sacrificing efficiency.
3. Surya Prasath (University of Missouri-Columbia, USA)
Title:The Influence of PDE Based Image Processing in Analysis: Modern Developments
Abstract
We provide an overview of modern developments in the analysis of PDE based image processing with particular emphasize on image restoration.





Site under construction, please visit later for updated info.
Contact: Surya Prasath (Admin)