Quad/triangle subdivision unifies triangular and quadrilateral subdivision schemes. Despite its interest, this scheme is rarely used in the multiresolution edition framework, mainly because of the lack of a sufficiently general data structure that allows a simple and efficient implementation of multiresolution meshes built with it. We show in this paper how multiresolution half-edges, defined a...

Multiresolution meshes are a common basis for building representations of a geometric shape at different levels of detail. The use of the term multiresolution depends on the remark that the accuracy (or, level of detail) of a mesh in approximating a shape is related to the mesh resolution, i.e., to the density (size and number) of its cells. A multiresolution mesh provides several alternative m...

In this paper, we extend our original work on multiresolution learning, and present a new concept and method of adaptive neural activation functions in multiresolution learning, to maximize the learning efficacy of multiresolution learning paradigm for neural networks. Real-world sunspot series (yearly sunspot data from 1700 to 1999) prediction has been used to evaluate our method. We demonstra...

A multiresolution source code is a single code giving an embedded source description that can be read at a variety of rates and thereby yields reproductions at a variety of resolutions. The resolution of a source reproduction here refers to the accuracy with which it approximates the original source. Thus, a reproduction with low distortion is a “high-resolution” reproduction while a reproducti...

Multiresolution surfaces are especially useful for fast rendering, real-time display, and progressive transmission. This paper reviews major surface simplification techniques and multiresolution surface reconstruction approaches. Based on comparison among various approximation algorithms we propose an appropriate measure for surface approximation accuracy and essential concepts for multiresolut...

We develop and investigate several novel multiresolution algorithms for detecting coherent radar targets embedded in clutter. These multiresolution detectors exploit the fact that prominent target scatterers interfere in a characteristic manner as resolution is changed, while multiresolution clutter signatures are random. We show, both on simulated and collected synthetic aperture radar data, t...

The theory of wavelets and multiresolution analysis is usually developed on R. However, applications of wavelets to image processing and numerical methods for partial differential equations require multiresolution analysis on domains or manifolds in R. The study of multiresolution in these settings is just beginning. Building on the construction of multiresolution on intervals (and cubes in R )...

Multiresolution surfaces are especially useful for fast rendering, real-time display and interactive manipulation of large and dense terrain surface models. This paper reviews major multiresolution terrain surface reconstruction techniques and analyses the corresponding data structures. We have proposed and implemented, based on Delaunay retriangulation, a greedy refinement algorithm with a str...