In this work, a new method for inserting a curve as an internal boundary into an existing mesh is developed. The curve insertion is done with minimal adjustment to the original topology while maintaining the original sizing of the mesh. The curve is discretized by initially placing vertices, defining a length scale at every location on the curve based on the local underlying mesh, and equidistr...

Applications of mathematics and statistics often require fitting a smooth approximating function to a finite set of data points, or interpolating the data points by fitting the points exactly. In the event that interpolation of a grid of points is required, we recently proposed a method (which we call the SVD method[10]) for creating a function of two variables which interpolates the points. Wh...

1. Briefly summarize the paper’s contributions. Does it address a new problem? Does it present a new approach? Does it show new types of results?  [AS] This paper presents a new approach to the existing problem of data integration, or generating a surface representation from a given set of sample points. The approach presented in this paper is called the ball-pivot algorithm (BPA), which is a ...

Abstract – Wireless Mesh networks exploit multi-hop wireless communications between Access Points to replace wired infrastructure. However, in multi-hop networks, effective bandwidth decreases with increasing number of hops, mainly due to increased spatial contention. Longer hop length flows suffer from extremely low throughputs which is highly undesirable in the envisioned scenarios for mesh n...

This paper describes an automatic and robust approach to generate quality triangular meshes for complicated domains with topology ambiguity. In previous works, we developed an octree-based Dual Contouring (DC) method to construct triangular meshes for complicated domains. However, topology ambiguity exists and causes non-conformal meshes. In this study, we discuss all possible topology configur...

With the increasing amount of 3D data and the ability of capture devices to produce low-cost multimedia data, the capability to select relevant information has become an interesting research field. In 3D objects, the aim is to detect a few salient structures which can be used, instead of the whole object, for applications like object registration, retrieval, and mesh simplification. In this pap...

This thesis presents partitioning techniques which classify a volumetric mesh into difierent regions while preserving the mesh connectivity (consistency). A mesh is partitioned by applying a plane partitioning technique which is geometrically exact, and a novel approach for approximate partitioning where triangular surface meshes are used as partitioning shapes. In both methods, the propagation...

A surface is often modeled as a triangulated mesh of 3D points and textures associated with faces of the mesh. The 3D points could be either sampled from range data or derived from a set of images using a stereo or Structurefrom-Motion algorithm. When the points do not lie at critical points of maximum curvature or discontinuities of the real surface, faces of the mesh do not lie close to the m...

Derivative superconvergent points under locally equilateral triangular mesh for both the Poisson and Laplace equations are reported. Our results are conclusive. For the Poisson equation, symmetry points are only superconvergent points for cubic and higher order elements. However, for the Laplace equation, most of superconvergent points are not symmetry points, which are reported for the first t...

BACKGROUND Shoulder function often is limited after tumor resection and endoprosthetic replacement of the proximal humerus. This is partly attributable to the inability to reliably reattach rotator cuff tendons to the prosthesis and achieve adequate shoulder capsule repair with a metallic prosthesis. An option to attain these goals is to use synthetic mesh for the reconstruction, although the v...