In this paper, we study the backward-forward algorithm as a splitting method to solve structured monotone inclusions, and convex minimization problems in Hilbert spaces. It has a natural link with the forward-backward algorithm and has the same computational complexity, since it involves the same basic blocks, but organized differently. Surprisingly enough, this kind of iteration arises when st...

Diffeomorphic registration using optimal control on the diffeomorphism group and on shape spaces has become widely used since the development of the Large Deformation Diffeomorphic Metric Mapping (LDDMM) algorithm. More recently, a series of algorithms involving sub-riemannian constraints have been introduced, in which the velocity fields that control the shapes in the LDDMM framework are const...

In this paper a one parameter predictor–corrector method, which we call it A-EBDF, is introduced and analyzed. With a modification of A-BDF and EBDF methods we propose a multistep method whose region of absolute stability is larger than those of A-BDF and EBDF methods. © 2004 IMACS. Published by Elsevier B.V. All rights reserved. MSC: 65L05

Backward running has long been used in sports conditioning programs and has recently been incorporated into rehabilitative settings as a method of increasing quadriceps strength while decreasing the joint compressive forces about the knee. Although backward locomotion has been studied kinetically, the metabolic cost of backward walking and/or running has not to our knowledge been previously cha...

Free-form deformation is an important geometric shape modification method in computer animation and geometric modeling. We explore it by means of functional composition via shifting operators. Our method takes a polygonal model as input but yields a curved model described by triangular Bézier patches as output. The proposed method also solves the sample problem of free-form deformation. keyword...

In this paper a new method for elastic registration of medical images is presented. The method uses corresponding regions of gray values, which are segmented interactively. The deformation part is based on finite element meshes generated from the segmented regions. During the deformation process, the similarity between the deformed mesh and the target image is measured and the ‘intensity’ of th...

Registration of pre-operative and post-recurrence brain images is often needed to evaluate the effectiveness gliomas treatment. While recent deep learning-based deformable registration methods have achieved remarkable success with healthy images, most them would be unable accurately align pathologies due absent correspondences in reference image. In this paper, we propose a method that jointly ...

The Sakurai-Sugiura method with Rayleigh-Ritz projection (SS-RR method) finds the eigenvalues in a certain domain of the complex plane of large quadratic eigenvalue problems (QEPs). The SS-RR method can suffer from numerical instability when the coefficient matrices of the projected QEP vary widely in norm. To improve the numerical stability of the SS-RR method, we combine it with a numerically...