Concept

B-Rep

Publications associées (31)

Volumetric untrimming: Precise decomposition of trimmed trivariates into tensor products

3D objects, modeled using Computer Aided Geometric Design (CAGD) tools, are traditionally represented using a boundary representation (B-rep), and typically use spline functions to parameterize these boundary surfaces. However, recent development in physic ...

2019

MATHICSE Technical Report : Isogeometric Analysis on V-reps: first results

Annalisa Buffa, Pablo Antolin Sanchez

Inspired by the introduction of Volumetric Modeling via volumetric representations (V-reps) by Massarwi and Elber in 2016, in this paper we present a novel approach for the construction of isogeometric numerical methods for elliptic PDEs on trimmed geometr ...

MATHICSE2019

Isogeometric Analysis on V-reps: First results

Annalisa Buffa, Pablo Antolin Sanchez

2019

Machine learning materials physics: Integrable deep neural networks enable scale bridging by learning free energy functions

Anirudh Raju Natarajan

The free energy of a system is central to many material models. Although free energy data is not generally found directly, its derivatives can be observed or calculated. In this work, we present an Integrable Deep Neural Network (IDNN) that can be trained ...

Elsevier2019

3D Box Proposals from a Single Monocular Image of an Indoor Scene

Mathieu Salzmann, Wei Zhuo

Modern object detection methods typically rely on bounding box proposals as input. While initially popularized in the 2D case, this idea has received increasing attention for 3D bounding boxes. Nevertheless, existing 3D box proposal techniques all assume h ...

ASSOC ADVANCEMENT ARTIFICIAL INTELLIGENCE2018

In Silico Brain Imaging Physically-plausible Methods for Visualizing Neocortical Microcircuitry

Marwan Muhammad Ahmed Abdellah

The recent years have witnessed growing interest in the power of scientific visualization for simulation-based neuroscience. The research presented in this thesis develops methods to generate physically-realistic visualizations of neocortical models recons ...

EPFL2017

Compactly-Supported Smooth Interpolators for Shape Modeling with Varying Resolution

Michaël Unser, Pablo Garcia-Amorena Garcia, Julien René Pierre Fageot, Daniel Andreas Schmitter, Anaïs Laure Marie-Thérèse Badoual

In applications that involve interactive curve and surface modeling, the intuitive manipulation of shapes is crucial. For instance, user interaction is facilitated if a geometrical object can be manipulated through control points that interpolate the shape ...

2017

Medial axis transformation as a solid modeling representation method for computer aided design software

Paul Xirouchakis, Mihai-Bogdan Lazar, Ian Anthony Stroud, Florian Barras, Guillaume Goualard

A method for achieving a representation of an object within a data structure for a Computer Aided Design system employing a Medial Axis Transformation (MAT), the representation of the object comprising a set of adjacent bounded surface elements called MAT ...

2016

Mathematical analysis of variational isogeometric methods

Annalisa Buffa, Rafael Vazquez Hernandez

This review paper collects several results that form part of the theoretical foundation of isogeometric methods. We analyse variational techniques for the numerical resolution of PDEs based on splines or NURBS and we provide optimal approximation and error ...

2014

Fabrication-aware Design with Intersecting Planar Pieces

Mark Pauly, Yuliy Gennadievich Schwartzburg

We propose a computational design approach to generate 3D models composed of interlocking planar pieces. We show how intricate 3D forms can be created by sliding the pieces into each other along straight slits, leading to a simple construction that does no ...

Blackwell Publishing2013

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