We apply some methods from wavelet analysis to explicit constructions of dynamics and optimal control of the process of ore milling.

A physically motivated approach is presented to compute a shape average of a given number of shapes. An elastic deformation is assigned to each shape. The shape average is then described as the common image under all elastic deformations of the given shapes, which minimizes the total elastic energy stored in these deformations. The underlying nonlinear elastic energy measures the local change o...

Much of my recent work is on mathematical models that fit in a general form. In this section, I describe this form and list the problems related to my work as examples. In many dimensionally-reduced models for the deformation of a thin elastic body—including the Timoshenko beam, the Reissner–Mindlin plate, and the Koiter and Naghdi shell models—the solution can be characterized variationally as...

As submitted to Electronics Letters, except including an appendix giving pseudocode. Abstract An algorithm is derived for inferring a binary vector s given noisy observations of Asmodulo2, where A is a binary matrix. Here, the binary vector is replaced by a vector of probabilities, optimized by free energy minimization. Experiments on the inference of the state of a linear feedback shift regist...

An algorithm is derived for inferring a binary vector s given noisy observations of Asmodulo2, where A is a binary matrix. The binary vector is replaced by a vector of probabilities, optimized by free energy minimization. Experiments on the inference of the state of a linear feedback shift register indicate that this algorithm supersedes Meier and Staaelbach's polynomial algorithm. (As + n) mod...

the michelsen stability and multiphase flash calculation by direct minimization of gibbs free energy of the system at constant temperature and pressure, was used for systems containing gas hydrates. the solid hydrate phase was treated as a solid solution. the fugacities of all components of the hydrate phase were calculated as a function of compositions by the rearranged model of van der waals ...

We present a novel cortical correspondence method employing group-wise registration in a spherical parametrization space for the use in local cortical thickness analysis in human and non-human primate neuroimaging studies. The proposed method is unbiased registration that estimates a continuous smooth deformation field into an unbiased average space via sulcal curve-constrained entropy minimiza...

The elastic properties and fracture of two-dimensional graphene were calculated purely from the atomic bonding (stretching and bending) based on molecular mechanics method. Considering the representative unit cell of graphene under various loading conditions, the deformations of carbon bonds and the variations of the interlayer distance could be realized numerically under the geometry constrain...

This work is devoted to segmentation and tracking of structures undergoing large deformation in an image sequence. The overall goal is the modeling of complex moving and deforming structures that simultaneously brings compression of data, segmentation and tracking on temporal sequences of images. Deforming entities are approximated by implicit templates, defined as level sets of some particular...

Many objects, especially these made by humans, are symmetric, e.g. cars and aeroplanes. This paper addresses the estimation of 3D structures of symmetric objects from multiple images of the same object category, e.g. different cars, seen from various viewpoints. We assume that the deformation between different instances from the same object category is non-rigid and symmetric. In this paper, we...