Triangles meshes are the most popular standard model used to represent polygonal surfaces in Computer Graphics. Drawing these meshes as a set of independent triangles involves sending a vast amount of information to the graphic engine. The use of primitives such as triangle fans and strips, which make use of the connectivity information between the triangles in the mesh, dramatically reduces th...

This paper presents a generic technique for converting any 3D object into an implicit representation, based on multiresolution implicit grids. A specific hash table structure is proposed, which permits compact storage as well as easy hierarchical evaluation of the object. Finally, a tessellator for these multiresolution implicit objects is presented, that takes advantage of the hash table struc...

This paper proposes a robust multiresolution approach to detecting the structure of a noisy range image. It is assumed that the original image, consisting of planar and quadratic surfaces, is corrupted by heavy noise composed of Gaussian background noise and impulse noise. A basic principle of our approach is the exploitation of the structure of scan lines for detecting the image structure. Thu...

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...

The local trace function introduced in [Dut] is used to derive equations that relate multiwavelets and multiscaling functions in the context of a generalized multiresolution analysis, without appealing to filters. A construction of normalized tight frame wavelets is given. Particular instances of the construction include normalized tight frame and orthonormal wavelet sets.

Multiresolution geometric models support the representation and processing of geometric entities at di erent levels of resolution, and are useful in several application elds, such as geographic information systems, CAD systems and scienti c visualization. The aim of this paper is to provide a systematic framework for multiresolution geometric modeling, independent both of the dimension of spati...

An important problem in multiresolution analysis of signals and images consists in restoring continuous hidden random variables x = {xs}s∈S from observed ones y = {ys}s∈S . This is done classically in the context of Hidden Markov Trees (HMT). HMT have been generalized recently to Pairwise Markov Trees (PMT). In this paper we propose a smoothing restoration algorithm for Gaussian PMT.

In this paper Boolean filters and a variation of these, FIR-Boolean hybrid filters are proposed for realizing the prediction stages of a multiresolution lossless image compression structure. Optimal and adaptive Boolean filters are used for prediction in The proposed predictors performance is compared to the performance of other lossless multiresolution methods: the hierarchical interpolation s...

Multiresolution modeling is a very important technique for interactive visualization of very large data sets. Multiresolution volume data structures allow the extraction of adaptively triangulated isosurfaces in large volume data sets at interactive frame rates, providing the user the ability to visualize the volume data in real-time. The isosurface is displayed at a coarse resolution for areas...