We present a new approach for matching regular surfaces in a Riemannian setting. We use a Sobolev type metric on deformation vector fields which form the tangent bundle to the space of surfaces. In this article we compare our approach with the diffeomorphic matching framework. In the latter approach a deformation is prescribed on the ambient space, which then drags along an embedded surface. In...

The separated electromagnetic responses RL(q, ω) and RT (q, ω) for inclusive electron scattering off nuclei are studied within a functional scheme.

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Quantum Mechanics of the Early Universe is considered as deformation of a well-known Quantum Mechanics. Similar to previous works of the author, the principal approach is based on deformation of the density matrix with concurrent development of the wave function deformation in the respective Schrödinger picture, the associated deformation parameter being interpreted as a new small parameter. It...

Deformation transfer is to transfer the deformation of a source deforming model to a target model. Not only the pose but the detailed deformations of a source model are transferred to a target model, causing the characteristic deformations of the target model are mixed with those of the source model. This leads to unnatural results. In this paper, we present a novel example-based deformation tr...

We present a general approach to shape deformation based on energy minimization, and applications of this approach to the problems of image resizing and 2D shape deformation. Our deformation energy generalizes that found in the prior art, while still admitting an efficient algorithm for its optimization. The key advantage of our energy function is the flexibility with which the set of “legal tr...

An approach for estimating the deformation of the prostate caused by transrectal ultrasound (TRUS) probe insertion is presented. This work is particularly useful during brachytherapy procedures, in which planning for radioactive seed insertion is performed on preoperative scans, and significant deformation of the prostate can occur during the procedure. The approach makes use of a patient speci...

A method for computing nonlinear soft–tissue deformation caused by simulated surgical procedures is presented. A mass–spring system is used to model patient individual soft–tissue. Instead of simulating dynamic behaviour, the introduced approach directly estimates the rest position of the system. Very fast and robust nonlinear soft–tissue deformation is computed using an optimization approach. ...