Deformation twinning at the tip of a straight crack or notch is analyzed using a phase-field method that seeks equilibrium twin morphologies via direct minimization of a free energy functional. For isotropic solids, the tendency to twin under mode I or mode II loading is found to depend weakly on Poisson’s ratio and elastic nonlinearity and strongly on surface energy and twinning shear (i.e. ei...

We have developed a new approach to shape-based tracking and analysis of cardiac MR images using geometrically deformable templates (GDTs). We propose to use an energyminimizing deformable template which can deform into similar shapes under the in uence of external forces. The degree of deformation of the template from its equilibrium shape is expressed by the amount of bending energy which is ...

We present a robust approach to perform 3D nonrigid image registration suitable for large deformation and topology change, and develop a software package named DTHB3D Reg (Dynamic Truncated Hierarchical B-spline based 3D Image Registration). The optimum spatial transformation, defined using truncated hierarchical B-splines, is obtained through the minimization of an energy functional. The optim...

In this work we present a novel technique we term active graph matching, which integrates the popular active shape model into a sparse graph matching problem. In this way we are able to combine the benefits of a global, statistical deformation model with the benefits of a local deformation model in form of a second-order random field. Despite the optimization being NP-hard we present a new iter...

In this paper we construct a model to describe some aspects of the deformation of the central region of the human lung considered as a continuous elastically deformable medium. To achieve this purpose, we study the interaction between the pipes composing the tree and the fluid that goes through it. We use a quasi-static approximation to determine the deformed radius of each branch. Then, we sol...

Dislocations form patterns that strongly influence mechanical properties. Prevailing theories are dichotomous: either by energy minimization or stochasticity during plastic flow. Using discrete dislocation dynamics simulations, it is shown both and contribute to patterns. Monte Carlo simulations reveal short-range forces between dislocations lead wall-like structures, while long-range control t...

This paper proposes a new interactive hybrid non-rigid registration framework that combines any intensity-based algorithm with a feature-based component, using an iterative dual energy minimization. The resulting transformation combines both intensity-based and featurebased deformation fields. The feature matching exploits user-placed landmark pairs, and based on saliency and similarity measure...

In this work we present a novel technique we term active graph matching, which integrates the popular active shape model into a sparse graph matching problem. This way we are able to combine the benefits of a global, statistical deformation model with the benefits of a local deformation model in form of a second-order random field. We present a new iterative energy minimization technique which ...

This paper presents a novel variational model for inverse consistent deformable image registration. This model deforms the source and target image simultaneously, and aligns the deformed source and deformed target images in the way that the both transformations are inverse consistent. The model does not computes the inverse transforms explicitly, alternatively it finds two more deformation fiel...

We consider elasto-plastic deformations of a body which is subjected to a time-dependent loading. The model includes fully nonlinear elasticity as well as the multiplicative split of the deformation gradient into an elastic part and a plastic part. Using the energetic formulation for this rate-independent process we derive a time-incremental problem, which is a minimization problem with respect...