Multiresolution techniques are used to study the eeective properties of propagation in nely struc-tured ducts. A new formulation governing the smoothed component of the eld is derived and compared to the generic formulation governing the complete eld. The relation between the small scale structure of the system heterogeneity and the large scale eld is investigated. In particular, we use multire...

We propose a multiresolution representation for maximum intensity projection (MIP) volume rendering, based on morphological pyramids which allow progressive refinement and have the property of perfect reconstruction. The pyramidal analysis and synthesis operators are composed of morphological erosion and dilation, combined with dyadic downsampling for analysis and dyadic upsampling for synthesi...

In this paper, the visualization of hybrid scenes that contain volume data and a fitted extracted surface is addressed. The proposed algorithm is based on a integrated octree-based representation: the ‘‘hybrid octree.’’ The hybrid octree allows to obtain multiresolution representation of the volume data and it also maintains a decimated surface codification. The proposed visualization approach ...

The conventional area-based stereo matching algorithm suffers from two problems, the windowing problem and computational cost. Multiple scale analysis has long been adopted in vision research. Investigation of the wavelet transform suggests that -dilated wavelet basis functions provide changeable window areas associated with the signal frequency components and hierarchically represent signals w...

Large matrices appearing in machine learning problems often have complex hierarchical structures that go beyond what can be found by traditional linear algebra tools, such as eigendecomposition. Inspired by ideas from multiresolution analysis, this paper introduces a new notion of matrix factorization that can capture structure in matrices at multiple different scales. The resulting Multiresolu...

We present deterministic sequences for use in sampling-based approaches to motion planning. They simultaneously combine the qualities found in many other sequences: i) the incremental and self-avoiding tendencies of pseudo-random sequences, ii) the lattice structure provided by multiresolution grids, and iii) lowdiscrepancy and low-dispersion measures of uniformity provided by quasi-random sequ...

In this paper, we propose a unified model for indexing and retrieving multimedia data using characteristic features and multiresolution processing. Each multimedia datatype, such as audio and video, is represented as a k-dimensional signal in the spatio-temporal domain. A k-dimensional signal is transformed into characteristic features (contents) and these features are stored in a hierarchical ...

This contribution will be freewheeling in the domain of signal, image and surface processing and touch briefly upon some topics that have been close to the heart of people in our research group. A lot of the research of the last 20 years in this domain that has been carried out world wide is dealing with multiresolution. Multiresolution allows to represent a function (in the broadest sense) at ...

In this paper, we propose a new method to characterise a curve by means of the hierarchical computation of a multiresolution structure. This structure, consisting of successive lower resolution versions of the same object, is processed using the linked pyramid approach. We adapt the multiresolution pixel linking algorithm to the processing of curve contours which are described by their chain-co...

Representing data using multiresolution is a valuable tool for the interactive exploration of very large datasets. Current multiresolution tools are written specifically for a single kind of multiresolution data. As a step toward developing general purpose multiresolution tools, we present here a model that represents a wide range of multiresolution data within a single paradigm. In addition, o...