title: Mumford-Shah model for one-to-one edge matching.
abstract: This paper presents a new algorithm based on the Mumford-Shah model for simultaneously detecting the edge features of two images and jointly estimating a consistent set of transformations to match them. Compared to the current asymmetric methods in the literature, this fully symmetric method allows one to determine one-to-one correspondences between the edge features of two images. The entire variational model is realized in a multiscale framework of the finite element approximation. The optimization process is guided by an estimation minimization-type algorithm and an adaptive generalized gradient flow to guarantee a fast and smooth relaxation. The algorithm is tested on T1 and T2 magnetic resonance image data to study the parameter setting. We also present promising results of four applications of the proposed algorithm: interobject monomodal registration, retinal image registration, matching digital photographs of neurosurgery with its volume data, and motion estimation for frame interpolation.
authors.affiliation: Chair for Pattern Recognition, University of Erlangen-Nürnburg, 91058 Erlangen, Germany. jingfeng@informatik.uni-erlangen.de
authors.forename: Jingfeng
authors.initials: J
authors.lastname: Han
authors.forename: Benjamin
authors.initials: B
authors.lastname: Berkels
authors.forename: Marc
authors.initials: M
authors.lastname: Droske
authors.forename: Joachim
authors.initials: J
authors.lastname: Hornegger
authors.forename: Martin
authors.initials: M
authors.lastname: Rumpf
authors.forename: Carlo
authors.initials: C
authors.lastname: Schaller
authors.forename: Jasmin
authors.initials: J
authors.lastname: Scorzin
authors.forename: Horst
authors.initials: H
authors.lastname: Urbach
mesh_terms: D000465:Algorithms; D001185:Artificial Intelligence; D001921:Brain / Q000033:anatomy & histology*; D006801:Humans; D007089:Image Enhancement / Q000379:methods*; D007090:Image Interpretation, Computer-Assisted / Q000379:methods*; D008279:Magnetic Resonance Imaging / Q000379:methods*; D010363:Pattern Recognition, Automated / Q000379:methods*; D015203:Reproducibility of Results; D012680:Sensitivity and Specificity; D013382:Subtraction Technique