Geometry Field Trip

Technical Papers

Geometry Field Trip

Monday, 10 August 9:00 AM - 10:30 AM | Los Angeles Convention Center, Room 152 Session Chair: Sylvain Lefebvre, INRIA

Integrable PolyVector Fields

This paper presents a framework for designing curl-free tangent vector fields on meshes. Such fields are gradients of locally defined scalar functions, so they are suitable for creating surface parameterizations. The approach works on unordered vector sets, is free of integer variables,and automatically places singularities to support user-provided alignment constraints and inversion-free parameterizations.

Olga Diamanti
ETH Zürich

Amir Vaxman
Technische Universität Wien

Daniele Panozzo
ETH Zürich

Olga Sorkine-Hornung
ETH Zürich

Stripe Patterns on Surfaces

Stripe patterns are ubiquitous in nature, describing macroscopic phenomena such as stripes on plants and animals, down to material impurities on the atomic scale. This method synthesizes stripe patterns with user-specified orientation and line spacing. Results can be applied to a variety of tasks in design and texture synthesis.

Felix Knöppel
Technische Universität Berlin

Keenan Crane
Columbia University

Ulrich Pinkall
Technische Universität Berlin

Peter Schröder
California Institute of Technology

Frame-Field Generation Through Metric Customization

Generic frame fields (with arbitrary anisotropy, orientation, and sizing) can be regarded as cross fields in a specific Riemannian metric frame. This paper approaches field design by first computing a discrete metric on the input surface and then computing an optimal cross field in this customized metric.

Tengfei Jiang
Zhejiang University

Xianzhong Fang
Zhejiang University

Jin Huang
Zhejiang University

Hujun Bao
Zhejiang University

Yiying Tong
Michigan State University

Mathieu Desbrun
California Institute of Technology

Discrete Derivatives of Vector Fields on Surfaces – An Operator Approach

This paper considers the problem of computing the Levi-Civita covariant derivative on triangle meshes and shows the applicability of the operator to fluid simulation and vector-field design.

Omri Azencot, Technion
Israel Institute of Technology

Maks Ovsjanikov
École Polytechnique

Frédéric Chazal

Mirela Ben-Chen
Technion - Israel Institute of Technology