In this paper, we present an adaptive multi-chart and multiresolution mesh representation suitable for both the CPU and the GPU. We build our representation by simplifying a dense-polygon mesh to a base mesh and storing the original geometry in an atlas structure. For both simplification and resolution control, we extend a hierarchical method based on stellar operators to the GPU context. Durin...

We study wavelet packets in the setting of a multiresolution analysis of L2(Rd) generated by an arbitrary dilation matrix A satisfying |det A| = 2. In particular, we consider the wavelet packets associated with a multiresolution analysis with a scaling function given by the characteristic function of some set (called a tile) in Rd. The functions in this class of wavelet packets are called gener...

We use a Potts model community detection algorithm to accurately and quantitatively evaluate the hierarchical or multiresolution structure of a graph. Our multiresolution algorithm calculates correlations among multiple copies ("replicas") of the same graph over a range of resolutions. Significant multiresolution structures are identified by strongly correlated replicas. The average normalized ...

In this paper, a new and novel approach is designed for extracting local binary pattern (LBP) texture features from the computer-identified mass regions, aiming to reduce false-positive (FP) detection in a computerized mass detection framework. The proposed texture feature, the so-called multiresolution LBP feature, is well able to characterize the regional texture patterns of core and margin r...

The ability of gerarchically manage data available in a Geographical Information System is becoming increasingly important, given the huge data quantity provided by the modern surveying techniques. In particular, the spatial features of an element must be framed in an intrensically multiresolution structure with an efficient management of the information at different resolutions. Four new modul...

We present an approach for 3D segmentation on multiresolution surfaces of 3D data that are represented in the form of triangular meshes. In this approach, multiresolution surfaces are generated by applying two algorithms, mesh decimation and surface fairing methods. The decimation method simplifies surfaces into less complex forms which contain less details than the original surface. The surfac...

Inspired by the theory of multiresolution analysis (MRA) of wavelets and artificial neural networks, a multiresolution neural network (MRNN) for approximating arbitrary nonlinear functions is proposed in this paper. MRNN consists of a scaling function neural network (SNN) and a set of sub-wavelet neural networks, in which each sub-neural network can capture the specific approximation behavior (...

A multiresolution analysis was performed to estimate the large-scale structure of cosmological N -body simulations. To explore relations between the multiresolution analysis and the galaxy distributions, a method that is familiar to image processing engineering was utilized. We proposed a new technique for quantifying the large-scale structures, and found that this is useful to discriminate dif...

Digital watermarking has been increasingly recognized as a highly effective means of protecting the intellectual property rights associated with multimedia data. Based on the multiresolution structures of wavelet decomposition, both on a real field and binary field, a multiresolution watermarking technique will be proposed. Since the Human Visual System (HVS) inherently performs a multiresoluti...

In this paper we present a lossless and optionally lossy compression method for precomputed visibility data for view-dependent multiresolution meshes, which supports out-of-core rendering and progressive transmission through slow connections. Our approach has the feature, that visibility information can be stored directly in the nodes of the multiresolution structure and only necessary parts of...