Concept
Boundary representation
Related publications (37)
Deep Learning for 3D Surface Modelling and Reconstruction
In recent years, there has been a significant revolution in the field of deep learning, which has demonstrated its effectiveness in automatically capturing intricate patterns from large datasets. However, the majority of these successes in Computer Vision ...
EPFL2023Quadrature-free immersed isogeometric analysis
Pablo Antolin Sanchez, Thibaut Hirschler
This paper presents a novel method for solving partial differential equations on three-dimensional CAD geometries by means of immersed isogeometric discretizations that do not require quadrature schemes. It relies on a newly developed technique for the eva ...
SPRINGER2022Tree-cotree decomposition of isogeometric mortared spaces in H(curl) on multi-patch domains
Bernard Kapidani, Rafael Vazquez Hernandez
When applying isogeometric analysis to engineering problems, one often deals with multi-patch spline spaces that have incompatible discretisations, e.g. in the case of moving objects. In such cases mortaring has been shown to be advantageous. This contribu ...
ELSEVIER SCIENCE SA2022HybridSDF: Combining Deep Implicit Shapes and Geometric Primitives for 3D Shape Representation and Manipulation
Pascal Fua, Nicolas Talabot, Subeesh Vasu, Artem Lukoianov
Deep implicit surfaces excel at modeling generic shapes but do not always capture the regularities present in manufactured objects, which is something simple geometric primitives are particularly good at. In this paper, we propose a representation combinin ...
2022Neural Parts: Learning Expressive 3D Shape Abstractions with Invertible Neural Networks
Angelos Katharopoulos, Andreas Geiger, Despoina Paschalidou
Impressive progress in 3D shape extraction led to representations that can capture object geometries with high fidelity. In parallel, primitive-based methods seek to represent objects as semantically consistent part arrangements. However, due to the simpli ...
IEEE COMPUTER SOC2021MATHICSE Technical Report: Immersed Boundary-Conformal Isogeometric Method for Linear Elliptic Problems
Annalisa Buffa, Pablo Antolin Sanchez, Xiaodong Wei
We present a novel isogeometric method, namely the Immersed Boundary-Conformal Method (IBCM), that features a layer of discretization conformal to the boundary while employing a simple background mesh for the remaining domain. In this manner, we leverage t ...
MATHICSE2021Immersed boundary-conformal isogeometric method for linear elliptic problems
Annalisa Buffa, Pablo Antolin Sanchez, Xiaodong Wei
We present a novel isogeometric method, namely the Immersed Boundary-Conformal Method (IBCM), that features a layer of discretization conformal to the boundary while employing a simple background mesh for the remaining domain. In this manner, we leverage t ...
2021