We propose an adaptive scheme, based on multiscale decomposition into interpolatory wavelet bases, to simulate the evolution of vortex patches associated to solutions of the two-dimensional Euler equations. This scheme is based on fast algorithms that relate the numerically signiicant wavelet coeecients with the irregular sampling of the boundary of the patch on an adaptive grid. This method al...

An adaptive wavelet transform algorithm for scal-able image coding is proposed in this paper. A quadtree segmentation scheme based on an entropy criterion is proposed to segment the image into several regions to allow for adaptive ltering using diierent types of prototype wavelet lters. A joint bit allocation and coding method is presented to eeciently code the segmented image in an embedding f...

In this paper, we propose a hybrid video coder using the wavelet packet transform and motion compensation. To reduce the computational complexity of the wavelet packet decomposition, a novel criterion based on the rate-distortion function is proposed. After the wavelet packet transform, the successive quantization scheme and the adaptive arithmetic coder are applied for lossy wavelet coe cient ...

This course gives an introduction to the design of efficient datatypes for adaptive wavelet-based applications. It presents some code fragments and benchmark technics useful to learn about the design of sparse data structures and adaptive algorithms. Material and practical examples are given, and they provide good introduction for anyone involved in the development of adaptive applications. An ...

An application of wavelet neural network/wavenet in control problems of nonlinear systems is investigated in this study. A wavelet neural network is constructed as an alternative architecture to a neural network to approximate a nonlinear system. Based on approximation capability of wavelet network, a suitable adaptive control law and parameter updating algorithm as applied to nonlinear system ...