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We establish a unified framework for $L^2$ error analysis for high order Lagrange finite volume methods on triangular meshes. Orthogonal conditions are originally proposed to construct dual partitions on triangular meshes, such that the corresponding finite ...

Cubic panoramas provide an efficient solution to the implementation of immersive and omnidirectional displays for image-based virtual navigation. To allow unrestricted navigation through the environment, a system must be capable of constructing novel ...

We introduce a connection method between two mesh areas at different resolutions. The connecting mesh is based on a local interpolation with radial basis functions and a Lifted B-spline wavelet transform. This ensures that the "continuity" between these ...

The problem of mapping triangular meshes into the plane is fundamental in geometric modeling, where planar deformations and surface parameterizations are two prominent examples. Current methods for triangular mesh mappings cannot, in general, control ...

In the research of computer vision and machine perception, 3D objects are usually represented by 2-manifold triangular meshes {\cal M}. In this paper, we present practical and efficient algorithms to construct iso-contours, bisectors, and Voronoi ...

We introduce the concept of couple points as a global feature of surfaces. Couple points are pairs of points <InlineEquation ID="IEq1"><InlineMediaObject><ImageObject FileRef="978-3-642-27413-8_39_Chapter_TeX2GIF_IEq1.gif" Format="GIF" Color="BlackWhite"...

Planar parameterization of triangular meshes is an essential problem of Digital Geometry Processing, especially for texture mapping, remeshing and mesh editing. This paper investigates the latest theoretical and practical results on planar ...

Triangular meshes are a popular geometric representation for 3D models used in computer graphics. Parameterization is a process that establishes a mapping between the surface of a model and a suitable domain. This paper considers the problem of ...

Vertex normal in triangular meshes is an essential surface attribute for point-based smoothing, mesh simplification and feature detection in fields as machine vision, virtual reality and reverse engineering. In order to investigate how weights of the ...

In the procedure of image sampling, acquisition, coding and transmission, all images in different degrees may be polluted by noise, which lowers image quality. Image filtering aims at noise suppression and image enhancement sets itself a goal of ...

The evolution of mobile network and the popularization of mobile devices; the demand for multimedia services and 3D graphics applications on limited resource devices is more contemporary. Most of theworks on multimedia transmission are focused on bit ...

This paper presents the probability distribution of the five op-codes (C, R, E, S and L) of Edgebreaker, which is one of the most popular connectivity compression methods for triangular meshes. The paper first makes a conjecture of Pr(C) > Pr(R) > Pr(E) > ...

Several techniques for arbitrary shape recovery from scanned data attempt to recognize and further regularize shape. For arbitrary shape, one can recognize several shape features which should be guided with global shape parameters. Smoothed curves and ...

In this paper, we present an iterative algorithm to generate a nice triangular curvilinear mesh on a regular parametric surface. The main idea is to obtain a reparametrization of the surface that behaves approximately like a conformal map in a finite ...

This paper deals with a multiresolution approach to the finite-element solution of the electric field integral equation (EFIE) formulation of the boundary value problem for Maxwell equations. After defining a multiresolution set of discretized spaces, ...

Smooth parametric surfaces interpolating triangular meshes are very useful for modeling surfaces of arbitrary topology. Several interpolants based on these kind of surfaces have been developed over the last fifteen years. However, with current 3D ...

An intrinsic collision detection unit (ICDU) forms the bottom-most layer of a collision detection pipeline. The ICDU performs collision detection and computes collision information for primitive feature pairs of objects in a 3D dynamic environment. A ...

An automatic edge-collapse based simplification method has been proposed for decimation of polygonal models and generating their LODs (Levels of detail). The measure of geometric fidelity employed is motivated by the normal space deviation of a ...

Two approaches are described that improve the efficiency of optical flow computation without incurring loss of accuracy. The first approach segments images into regions of moving objects. The method is based on a previously defined Galerkin finite ...

A new content-based mesh design algorithm for video objects segmentation and tracking is proposed. The algorithm moves the mesh nodes along motion or luminance discontinuities in order to fit the objects boundaries. The motion inside adjacent triangular ...