Conference 5–9 August 2012
Exhibition 7–9 August 2012
Los Angeles Convention Center

Layout and Parameterization

Technical Papers

Layout and Parameterization

Thursday, 9 August 10:45 AM - 12:15 PM | Los Angeles Convention Center, Room 408A
Session Chair: Paolo Cignoni, Istituto Scienze e Tecnologie dell' Informazione

Bounded-Distortion-Mapping Spaces For Triangular Meshes

This paper introduces generic convex spaces of bounded-distortion, piecewise, linear mappings of triangular meshes. It shows how common geometric-processing objective functionals can be restricted to these new spaces, rather than to the entire space of piecewise linear mappings, to provide a bounded-distortion version of popular algorithms.

Yaron Lipman
Weizmann Institute of Science

Global Parameterization by Incremental Flattening

A global parametrization flattens a surface to a plane for texture mapping, generating geometry images, or quadrangulating. This paper describes an iterative flattening procedure that concentrates curvatures at isolated singularities (corresponding to quadrangulation vertices with valence different from 4) to generate a parametrization with far lower distortion than previous techniques.

Ashish Myles
New York University

Denis Zorin
New York University

Dual Loops Meshing: Quality Quad Layouts on Manifolds

A theoretical framework and practical method for automatic construction of simple, all-quadrilateral patch layouts on manifold surfaces. The resulting layouts are topologically coarse and have a high geometric fidelity, so they are ideally suited for surface parameterization or for generation of structured quad meshes.

Marcel Campen
RWTH Aachen University

David Bommes
RWTH Aachen University

Leif Kobbelt
RWTH Aachen University

Fields on Symmetric Surfaces

An algorithm for designing smooth N-symmetry fields on surfaces, respecting generalized symmetries of the shape while maintaining alignment with local features. This formulation is based on global generalized symmetries with no isometry assumptions. The apper also presents an algorithm for computing symmetry maps for surfaces of genus zero.

Daniele Panozzo
ETH Zürich

Yaron Lipman
Weizmann Institute of Science

Enrico Puppo
Università degli Studi di Genova

Denis Zorin
New York University