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MATHICSE Technical Report: Volumetric Untrimming: Precise decomposition of trimmed trivariates into tensor products

Publications associées (59)

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The Chu Construction For Complete Atomistic Coatomistic Lattices

Gavin Jay Seal, Boris Ischi

The Chu construction is used to define a *-autonomous structure on a category of complete atomistic coatomistic lattices. This construction leads to a new tensor product that is compared with a certain number of other existing tensor products. ...

Univ Houston2013

Isogeometric Analysis and the Finite Cell method

Luca Dede'

The finite cell method (FCM) belongs to the class of immersed boundary methods, and combines the fictitious domain approach with high-order approximation, adaptive integration and weak imposition of unfitted Dirichlet boundary conditions. Its main idea con ...

2012

Shape-Up: Shaping Discrete Geometry with Projections

Mark Pauly, Sofien Bouaziz, Yuliy Gennadievich Schwartzburg, Mario Moacir Deuss

We introduce a uniﬁed optimization framework for geometry processing based on shape constraints. These constraints preserve or prescribe the shape of subsets of the points of a geometric data set, such as polygons, one-ring cells, volume elements, or featu ...

Wiley-Blackwell2012

G1 continuous approximate curves on NURBS surfaces

Bailin Deng, Wei Zeng

Curves on surfaces play an important role in computer aided geometric design. In this paper, we present a parabola approximation method based on the cubic reparameterization of rational Bezier surfaces, which generates G1 continuous approximate curves lyin ...

2012

Discrete Scale Axis Representations for 3D Geometry

Mark Pauly

This paper addresses the fundamental problem of computing stable medial representations of 3D shapes. We propose a spatially adaptive classification of geometric features that yields a robust algorithm for generating medial representations at different lev ...

2010

Modélisation géométrique itérative sous contraintes

Gilles Gouaty

Iterative models are widely used today in CAD. They allow, with a limited number of parameters, to represent relatively complex forms through a subdivision algorithm. There is a wide variety of such models (Catmull-Clark, Doo-Sabin, L-Systems...). Most ite ...

EPFL2010

Isogeometric Analysis for Electromagnetic Problems

Annalisa Buffa, Rafael Vazquez Hernandez

Isogeometric analysis (IGA) is a novel discretization method, introduced by Hughes , which is based on nonuniform rational B-splines (NURBS). Among other features, IGA uses directly the geometry description coming from computer-aided design software withou ...

2010

Differential geometry applied to crystallography

Philippe Kocian

The mathematical facet of modern crystallography is essentially based on analytical geometry, linear algebra as well as group theory. This study endeavours to approach the geometry and symmetry of crystals using the tools furnished by differential geometry ...

EPFL2009

On unifying sparsity and geometry for image-based 3D scene representation

Ivana Tosic

Demand has emerged for next generation visual technologies that go beyond conventional 2D imaging. Such technologies should capture and communicate all perceptually relevant three-dimensional information about an environment to a distant observer, providin ...

EPFL2009

Template-Free Monocular Reconstruction of Deformable Surfaces

Pascal Fua, Mathieu Salzmann, Engin Tola, Aydin Varol

It has recently been shown that deformable 3D surfaces could be recovered from single video streams. However, existing techniques either require a reference view in which the shape of the surface is known a priori, which often may not be available, or requ ...

2009