Title
A Variational Framework for Joint Image Registration, Denoising and Edge Detection
Abstract
In this paper we propose a new symmetrical framework that solves image denoising, edge detection and non{rigid image registration simultaneously. This framework is based on the Ambrosio{Tortorelli ap- proximation of the Mumford{Shah model. The optimization of a global functional leads to decomposing the image into a piecewise{smooth rep- resentative, which is the denoised intensity function, and a phase fleld, which is the approximation of the edge-set. At the same time, the method seeks to register two images based on the segmentation results. The key idea is that the edge set of one image should be transformed to match the edge set of the other. The symmetric non{rigid transformations are estimated simultaneously in two directions. One consistency functional is designed to constrain each transformation to be the inverse of the other. The optimization process is guided by a generalized gradient ∞ow to guarantee smooth relaxation. A multi{scale implementation scheme is applied to ensure the e-ciency of the algorithm. We have performed preliminary medical evaluation on T1 and T2 MRI data, where the ex- periments show encouraging results.
Year
DOI
Venue
2006
10.1007/3-540-32137-3_50
Bildverarbeitung für die Medizin
Keywords
Field
DocType
image registration,edge detection
Noise reduction,Inverse,Computer vision,Image gradient,Feature detection (computer vision),Non-local means,Computer science,Edge detection,Segmentation,Artificial intelligence,Image registration
Conference
Citations 
PageRank 
References 
3
0.41
5
Authors
8
Name
Order
Citations
PageRank
Jingfeng Han1162.72
Benjamin Berkels29712.86
Martin Rumpf323018.97
Joachim Hornegger41734190.62
Marc Droske519412.12
Michael Fried640.79
Jasmin Scorzin7111.16
Carlo Schaller8507.12