NDLI: Practical spherical embedding of manifold triangle meshes

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Table of Contents: International Conference on Shape Modeling and Applications - SMI 2005

Conference Committee

Program Committee

External reviewers

What's in a Mesh? A Survey of 3D Mesh Representation Schemes

Reconstructing B-spline Curves from Point Clouds--A Tangential Flow Approach Using Least Squares Minimization

Smooth adaptive fitting of 3D models using hierarchical triangular splines

Visualization of point-based surfaces with locally reconstructed subdivision surfaces

Convection-driven dynamic surface reconstruction

Remeshing Schemes for semi-regular tilings

An accurate error measure for adaptive subdivision surfaces

Designing with distance fields

Mesh editing with an embedded network of curves

Minimal-cut model composition

Rational spherical splines for genus zero shape modeling

Anisotropic meshing of implicit surfaces

Interactive implicit modeling with hierarchical spatial caching

A programmable particle system framework for shape modeling

Robust particle systems for curvature dependent sampling of implicit surfaces

Subdomain aware contour trees and contour evolution in time-dependent scalar fields

Design and manipulation of polygonal models in a haptic, stereoscopic virtual environment

Predicting AE attenuation in structures by geometric analysis

Stochastic microgeometry for displacement mapping

Geometry synthesis by example

Real time L-system generated trees based on modern graphics hardware

Curvature-based energy for simulation and variational modeling

Two-dimensional visibility charts for continuous curves

Contouring 1- and 2-manifolds in arbitrary dimensions

A tracing algorithm for constructing medial axis transform of 3D objects bound by free-form surfaces

Feature sensitive mesh segmentation with mean shift

Curvature maps for local shape comparison

Practical spherical embedding of manifold triangle meshes

Free-boundary linear parameterization of 3D meshes in the presence of constraints

Discrete tensorial quasi-harmonic maps

Computational topology for reconstruction of surfaces with boundary: integrating experiments and theory

Maximizing adaptivity in hierarchical topological models

Epsilon-regular sets and intervals

Volumetric data analysis using Morse-Smale complexes

Fast processing of triangle meshes using triangle fans

The half-edge tree: a compact data structure for level-of-detail tetrahedral meshes

Calculation and visualisation of the thickness of 3D CAD models

Mesh refinement based on Euler encoding

Local mesh operators: extrusions revisited

Shape complexity based on mutual information

Manufacturing classification of CAD models using curvature and SVMs

3D object retrieval using many-to-many matching of curve skeletons

Radius-normal histogram and hybrid strategy for 3D shape retrieval

SMI 2005 color refs

Proceedings Shape Modeling Applications, 2004.

2003 Shape Modeling International.

Proceedings SMI. Shape Modeling International 2002

Proceedings International Conference on Shape Modeling and Applications

Proceedings Shape Modeling International '99. International Conference on Shape Modeling and Applications

Proceedings of 1997 International Conference on Shape Modeling and Applications

Practical spherical embedding of manifold triangle meshes

Content Provider	IEEE Xplore Digital Library
Author	Saba, S. Yavneh, I. Gotsman, C. Sheffer, A.
Copyright Year	2005
Description	Author affiliation: Technion, Haifa, Israel (Saba, S.; Yavneh, I.)
Abstract	Gotsman et al. (SIGGRAPH 2003) presented the first method to generate a provably bijective parameterization of a closed genus-0 manifold mesh to the unit sphere. This involves the solution of a large system of non-linear equations. However, they did not show how to solve these equations efficiently, so, while theoretically sound, the method has remained impractical till now. We show why simple iterative methods to solve the equations are bound to fail, and provide an efficient numerical scheme that succeeds. Our method uses a number of optimization methods combined with an algebraic multigrid technique. With these, we are able to spherically parameterize meshes containing up to a hundred thousand vertices in a matter of minutes.
Starting Page	256
Ending Page	265
File Size	2213912
Page Count	10
File Format	PDF
ISBN	076952379X
DOI	10.1109/SMI.2005.32
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2005-06-13
Publisher Place	USA
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Mesh generation Nonlinear equations Laplace equations Springs Iterative methods Optimization methods Filtering algorithms Image coding Shape Nonlinear distortion
Content Type	Text
Resource Type	Article

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