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Designing N-PolyVector Fields with Complex Polynomials
(The Eurographics Association and John Wiley and Sons Ltd., 2014)
We introduce N-PolyVector fields, a generalization of N-RoSy fields for which the vectors are neither necessarily orthogonal nor rotationally symmetric. We formally define a novel representation for N-PolyVectors as the ...
Texture Mapping Real-World Objects with Hydrographics
(The Eurographics Association and John Wiley & Sons Ltd., 2015)
In the digital world, assigning arbitrary colors to an object is a simple operation thanks to texture mapping. However, in the real world, the same basic function of applying colors onto an object is far from trivial. One ...
Pattern-Based Quadrangulation for N-Sided Patches
(The Eurographics Association and John Wiley and Sons Ltd., 2014)
We propose an algorithm to quadrangulate an N-sided patch with prescribed numbers of edge subdivisions at its boundary. Our algorithm is guaranteed to succeed for arbitrary valid input, which is proved using a canonical ...
Locally Injective Mappings
(The Eurographics Association and Blackwell Publishing Ltd., 2013)
Mappings and deformations are ubiquitous in geometry processing, shape modeling, and animation. Numerous deformation energies have been proposed to tackle problems like mesh parameterization and volumetric deformations. ...
Consistent Volumetric Discretizations Inside Self-Intersecting Surfaces
(The Eurographics Association and Blackwell Publishing Ltd., 2013)
Decades of research have culminated in a robust geometry processing pipeline for surfaces. Most steps in this pipeline, like deformation, smoothing, subdivision and decimation, may create self-intersections. Volumetric ...
Animation-Aware Quadrangulation
(The Eurographics Association and Blackwell Publishing Ltd., 2013)
Geometric meshes that model animated characters must be designed while taking into account the deformations that the shape will undergo during animation. We analyze an input sequence of meshes with point-to-point correspondence, ...