The feature-based multi-resolution models of a solid represent an object at different levels of detail (LOD), particularly in the unit of feature, according to a certain LOD criterion. The need of feature-based multi-resolution modeling is currently increasing for various engineering tasks, such as analysis, network-based collaborative design, virtual prototyping and manufacturing. To provide f...

Abstract The Internet traffic matrix plays a significant roll in network operation and management, therefore, the structural analysis of traffic matrix, which decomposes different traffic components of this high-dimensional traffic dataset, is quite valuable to some network applications. In this study, based on the Robust Principal Component Analysis (RPCA) theory, a novel traffic matrix struct...

Large datasets describing geometric shapes are nowadays available in a variety of applications, including Geographical Information System. Handling such shapes require extensive computing resources. One of the most computer-intensive task is the analysis of their morphological structure. Morse Theory is a powerful theory, that is used to address the problem of describing topology, i.e., the sha...

we use a multi-resolution analysis based on a wavelet transform to upscale a 3d fractured reservoir. this paper describes a 3d, single-phase, and black-oil geological model (gm) that is used to simulate naturally-fractured reservoirs. the absolute permeability and porosity of gm is upscaled by all the possible combinations of haar, bior1.3, and db4 wavelets in three levels of coarsening. the ap...