a novel discrete singular convolution (dsc)  formulation  is  presented for the seepage analysis in irregular geometric porous media. the dsc is a new promising numerical approach which has been recently applied to solve several engineering problems. for a medium with regular geometry, realizing of the dsc for the seepage analysis is straight forward. but dsc implementation for a medium with ir...

A novel discrete singular convolution (DSC)  formulation  is  presented for the seepage analysis in irregular geometric porous media. The DSC is a new promising numerical approach which has been recently applied to solve several engineering problems. For a medium with regular geometry, realizing of the DSC for the seepage analysis is straight forward. But DSC implementation for a medium with ir...

The concept of fairing applied to triangular meshes with irregular connectivity has become more and more important. Previous contributions proposed a variety of fairing operators for manifolds and applied them to design multiresolution representations and editing tools for meshes. In this paper, we generalize these powerful techniques to handle non-manifold models. We propose a method to constr...

pore network modeling uses a network of pores connected by throats to model the void space of a porous medium and tries to predict its various characteristics during multiphase flow of various fluids. in most cases, a non-realistic regular lattice of pores is used to model the characteristics of a porous medium. although some methodologies for extracting geologically realistic irregular network...

Multi-sided surfaces are important in several areas of Computer-Aided Geometric Design, including curve network based design, approximation of triangular meshes, hole filling, and so on. In the majority of surface representations, the boundary constraints entirely determine the interior of these patches, however, frequently there is a need to have additional design freedom for shaping the surfa...

A novel mathematical framework inspired on Morse Theory for topological triangle characterization in 2D meshes is introduced that is useful for applications involving the creation of mesh models of objects whose geometry is not known a priori. The framework guarantees a precise control of topological changes introduced as a result of triangle insertion/removal operations and enables the definit...

Estimating intrinsic geometric properties of a surface from a polygonal mesh obtained from range data is an important stage of numerous algorithms in computer and robot vision, computer graphics, geometric modeling, industrial and biomedical engineering. This work considers different computational schemes for local estimation of intrinsic curvature geometric properties. Five different algorithm...

The concept of fairing applied to irregular triangular meshes has become more and more important. Previous contributions constructed better fairing operators, and applied them both to multiresolution editing tools and to multiresolution representations of meshes. In this paper, we generalize these powerful techniques to handle non-manifold models. Our framework computes a multilevel fairing of ...