Topology optimization is a powerful numerical tool in the synthesis of lightweight structures and compliant mechanisms. Compliant mechanisms present challenges for topology optimization, as they typically exhibit large displacements rotations. Path-generation are class that designed to follow an exact path. The characteristics therefore exclude validity linear finite-element analysis ensure pro...

In this paper, we construct a new class of deformable models using a new family of biorthogonal wavelets, named generalized Hermite Distributed Approximating Functional (g-HDAF) Wavelets. The scaling functions of this new family are symmetric and the corresponding wavelets optimize their smoothness for a given number of vanishing moments. In addition, we embed these multiresolution deformable m...

New methods for lossy image compression based on generalized wavelet decompositions have been introduced recently. Unlike in the classical wavelet decomposition scheme it is possible to use diierent scaling and wavelet functions at every scale by using non-stationary multiresolution analyses. This freedom in using diierent functions can be exploited for adaptive compression techniques. In this ...

In this paper, we construct a new class of deformable models using new biorthogonal wavelets, named Generalized Hermite Distributed Approximating Functional (g-HDAF) Wavelets. The scaling functions of this new family are symmetric and the corresponding wavelets optimize their smoothness for a given number of vanishing moments. In addition, we embed these multiresolution deformable models to the...

Searching an image for the occurrence of a pattern or a template is an essential step in a number of image processing applications. We propose a new multiresolution matching criterion based on the generalized log likelihood ratio. We also developed a multiscale search technique which facilitates finding the best solution by searching a small subset of the entire set of possible template locatio...

We present a solution to a functional equation by means of the construction of a contractive operator on some functional space. This solutions presents a kind of self-similarity and enables us to generalize the model introduced by Cabrelli et al. in CFMV92] allowing a much greater exibility. In particular dilation equations of the type f (x) = P c k f (2x ? k) t into this model, and hence we ca...