Technical Papers

Deformation & Distortion

Wednesday, 24 July 2:00 PM - 3:30 PM
Session Chair: Ilya Baran, Massachusetts Institute of Technology

Controlled-Distortion Constrained Global Parametrization

A global parametrization flattens a surface to a plane for texture mapping, generating geometry images, or quadrangulating. Existing methods generate feature-aligned parametrizations with few singularities, but they can exhibit large stretch or skew, sometimes collapsing large regions. This paper proposes a method that allows user-controllable trade-off among a number of singularities and distortions.

Ashish Myles
New York University

Denis Zorin
New York University

Injective and Bounded Distortion Mappings in 3D

An efficient algorithm for producing injective mappings of tetrahedral meshes with strict bounds on their tetrahedra aspect-ratio distortion.

Noam Aigerman
Weizmann Institute of Science

Yaron Lipman
Weizmann Institute of Science

Subspace Integration With Local Deformations

Subspace techniques greatly reduce the cost of nonlinear simulation but generally cannot represent localized deformations. This paper presents an efficient approach to handling local deformations, which most commonly arise from contact and collisions, by augmenting the subspace basis with custom functions derived from analytic solutions to static loading problems.

David Harmon
New York University

Denis Zorin
New York University

Planar Shape Interpolation With Bounded Distortion

A novel shape interpolation scheme designed specifically to produce results with a bounded conformal distortion. The method is based on an elegant continuous mathematical formulation. The paper also presents a discretization and an efficient practical algorithm to compute the interpolant and demonstrate its usability and good convergence behavior.

Renjie Chen
Technion - Israel Institute of Technology

Ofir Weber
University of Haifa

Daniel Keren
University of Haifa

Mirela Ben-Chen
Technion - Israel Institute of Technology