We describe a multiresolution representation for meshes based onsubdivision, which is a natural extension of the existing patch-basedsurface representations. Combining subdivision and the smooth-ing algorithms of Taubin [26] allows us to construct a set of algo-rithms for interactive multiresolution editing of complex hierarchi-cal meshes of arbitrary topology. The simplicit...

In order to investigate turbulent phenomena in compressible flows the Variational Multiscale method is used. This method is usually applied to incompressible flows. In a first step, we derive the VMS method for the compressible Navier-Stokes equations. The resulting weak formulation of the flow equations is split into resolved and unresolved scales using multiresolution techniques based on bior...

Surface reconstruction from contours is an important problem especially in medical applications. Other uses include reconstruction from topographic data, or isosurface generation in general. The drawback of existing reconstruction algorithms from contours is, that they are relatively complicated and often have numerical problems. Furthermore, algorithms to generate multiresolution surface model...

This report presents the need for embedded multiresolution (MR) modulation, specifically in broadcast scenarios. Existing modulation schemes, based on MR-QAM, are not bandwidth-efficient. Efficient layered or multiresolution data transmission over bandwidth-efficient CPFSK modulation scheme has been proposed. Superiority of the proposed embedded multiresolution CPFSK (MRCPFSK) over existing met...

In this paper we describe and analyze a class of nonlinear multiresolution schemes for the multiresolution setting which corresponds to discretization by local averages with respect to the hat function. These schemes are based on the essentially-non-oscillatory (ENO) interpolatory procedure described in [A. Harten, B. Engquist, S. Osher, and S. Chakravarthy, J. Comput. Phys., 71 (1987), pp. 231...

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...

Multiresolution motion analysis has gained considerable research interest as a unified framework to facilitate a variety of motion editing tasks. Within this framework, motion data are represented as a collection of coefficients that form a coarseto-fine hierarchy. The coefficients at the coarsest level describe the global pattern of a motion signal, while those at fine levels provide details a...

In this paper, a new multiresolution reconstruction approach for fan-beam tomography is established. The theoretical development assumes radial wavelets. An approximate reconstruction formula based on a near-radial quincunx multiresolution scheme is proposed. This multiresolution algorithm allows to compute both the quincunx approximation and detail coefficients of an image from its fan-beam pr...

The principle of multiresolution segmentation was represented in detail in this study, and the canny algorithm was applied for edge-detection of a remotely sensed image based on this principle. The target image was divided into regions based on object-oriented multiresolution segmentation and edge-detection. Furthermore, object hierarchy was created, and a series of features (water bodies, vege...

Homogeneous wavelets and framelets have been extensively investigated in the classical theory of wavelets and they are often constructed from refinable functions via the multiresolution analysis. On the other hand, nonhomogeneous wavelets and framelets enjoy many desirable theoretical properties and are often intrinsically linked to the refinable structure and multiresolution analysis. In this ...