Given a set of symmetric/antisymmetric filter vectors containing only regular multiresolution filters, the method we present in this article can establish a balanced multiresolution scheme for images, allowing their balanced decomposition and subsequent perfect reconstruction without the use of any extraordinary boundary filters. We define balanced multiresolution such that it allows balanced d...

We take advantage of ideas of an orthogonal wavelet complement to produce multiresolution orthogonal decomposition of nonuniform Bspline (NUB) spaces. The editing of NUB curves and surfaces can be handled at different levels of resolutions. Applying Multiresolution decomposition to possiblyC1 discontinuous surfaces, one can preserve the general shape on one hand and local features on the other ...

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...

ABSTRACT. A multiresolution analysis of a curve is normal if each wavelet detail vector with respect to a certain subdivision scheme lies in the local normal direction. In this paper we study properties such as regularity, convergence, and stability of a normal multiresolution analysis. In particular we show that these properties critically depend on the underlying subdivision scheme and that i...

Multiresolution Methods for Recovering Signals and Sets from Noisy Observations

This paper is about the construction of wavelet bi-frames with each framelets being symmetric. When filter banks are used for surface multiresolution processing, it is required that the corresponding decomposition and reconstruction algorithms, including the algorithms for boundary vertices, have high symmetry which makes it possible to design the corresponding multiresolution algorithms for ex...

Multiresolution strategies are commonly used in the nonrigid registration to avoid local minima in the optimization space. Generally, a step-by-step hierarchical approach is adopted, in which the registration starts on a level with reduced complexity (downsampled images, global transformations), then continuing to levels with increased complexity, until the finest level is reached. In this chap...

Topological and metric aspects of the multiresolution representation of geographic maps are considered. The combinatorial structure of maps is mathematically modelled through abstract cell complexes, and maps at diierent detail are related through continuous functions over such complexes. Metric aspects of multiresolution are controlled through the concept of homotopy. Two alternative multireso...

Multiresolution models support the interactive visualization of large volumetric data through selective refinement, an operation which permits to focus resolution only on the most relevant portions of the domain, or in the proximity of interesting field values. A 3D Multi-Tessellation (MT) is a multiresolution model, consisting of a coarse tetrahedral mesh at low resolution, and of a set of upd...