Concept

Paracompact space

Related publications (13)

A Shape Derivative Approach to Domain Simplification

Annalisa Buffa, Jochen Peter Hinz, Ondine Gabrielle Chanon, Alessandra Arrigoni

The objective of this study is to address the difficulty of simplifying the geometric model in which a differential problem is formulated, also called defeaturing, while simultaneously ensuring that the accuracy of the solution is maintained under control. ...

Oxford2023

Designing inside a point cloud

Nicolas Henry Pierre Louis Rogeau

The topic of our studio for the past two semesters has been the reuse of cultural heritage. Our students were asked to work on the transformation of a mansion from the 16th century and an abandoned sanatorium in the Swiss Alps. First, they had to identify ...

2021

MATHICSE Technical Report: THU-Splines - Highly Localized Refinement on Smooth Unstructured Splines

Xiaodong Wei

We present a novel method named truncated hierarchical unstructured splines (THU-splines) that supports both local h-refinement and unstructured quadrilateral meshes. In a THU-spline construction, an unstructured quadrilateral mesh is taken as the input co ...

MATHICSE2021

Sparse and Parametric Modeling with Applications to Acoustics and Audio

Helena Peic Tukuljac

Recent advances in signal processing, machine learning and deep learning with sparse intrinsic structure of data have paved the path for solving inverse problems in acoustics and audio. The main task of this thesis was to bridge the gap between the powerfu ...

EPFL2020

Abitare oltre la pandemia: verso un nuovo habitat domestico

Boris Hamzeian

The search for ways of living adapted to the changes of society is gaining in importance in the context of the current Coronavirus pandemic. The domestic confinement, in fact, is revealing as never before the inadequacy of our homes to contemporary life. T ...

2020

Exceptional graphs for the random walk

Juhan Aru

If W is the simple random walk on the square lattice Z(2), then W induces a random walk W-G on any spanning subgraph G subset of Z(2) of the lattice as follows: viewing W as a uniformly random infinite word on the alphabet {x, -x, y, -y}, the walk W-G star ...

INST MATHEMATICAL STATISTICS2020

Local Refinement for 3D Deformable Parametric Surfaces

Michaël Unser, Daniel Andreas Schmitter, Anaïs Laure Marie-Thérèse Badoual

Biomedical image segmentation is an active field of research where deformable models have proved to be efficient. The geometric representation of such models determines their ability to approximate the shape of interest as well as the speed of convergence ...

IEEE2016

Analysis-suitable T-splines of arbitrary degree: definition, linear independence and approximation properties

Annalisa Buffa, Rafael Vazquez Hernandez

T-splines are an important tool in IGA since they allow local refinement. In this paper we define analysis-suitable T-splines of arbitrary degree and prove fundamental properties: Linear independence of the blending functions and optimal approximation prop ...

2013

Origami - Folded Plate Structures

Hans Ulrich Buri

This research investigates new methods of designing folded plate structures that can be built with cross-laminated timber panels. Folded plate structures are attractive to both architects and engineers for their structural, spatial, and plastic qualities. ...

EPFL2010

Openness And Convexity For Momentum Maps

Tudor Ratiu, Juan-Pablo Ortega

The purpose of this paper is finding the essential attributes underlying the convexity theorems for momentum maps. It is shown that they are of a topological nature; more specifically, we show that convexity follows if the map is open onto its image and ha ...

2009

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