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Iterative Geometric Design for Architecture

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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

Drawing with Nanostencils on Flexible Substrates

Jürgen Brugger, Andreea Veronica Savu, Oliver Peric

Nanostencils are used in dynamic mode to pattern on top of flexible substrates. As the stencil is moving during the material evaporation, the obtained structures are the convolution between the stencil trajectory and the apertures’ geometry. Variable-thick ...

2011

Isogeometric analysis in electromagnetics: B-splines approximation

Annalisa Buffa, Rafael Vazquez Hernandez

We introduce a new discretization scheme for Maxwell equations in two space dimension. Inspired by the new paradigm of Isogeometric analysis introduced in Hughes et al. (2005) [16], we propose an algorithm based on the use of bivariate B-splines spaces sui ...

2010

Fractional Brownian Models For Vector Field Data

Michaël Unser, Pouya Dehghani Tafti

In this note we introduce a vector generalization of fractional Brownian motion. Our definition takes into account directional properties of vector fields-such as divergence, rotational behaviour, and interactions with coordinate transformations-that have ...

Ieee Service Center, 445 Hoes Lane, Po Box 1331, Piscataway, Nj 08855-1331 Usa2010

Fractional Brownian Models for Vector Field Data

Michaël Unser, Pouya Dehghani Tafti

In this note we introduce a vector generalization of fractional Brownian motion. Our definition takes into account directional properties of vector fields—such as divergence, rotational behaviour, and interactions with coordinate transformations—that have ...

IEEE2010

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

Iterative geometric design for architecture

Ivo Stotz

This work investigates on computer aided integrated architectural design and production. The aim is to provide integral solutions for the design and the production of geometrically complex free-form architecture. Investigations on computer aided geometric ...

EPFL2009

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

FEM-based prediction of workpiece transient temperature distribution and deformations during milling

Paul Xirouchakis, Jitender Kumar Rai

In high-speed dry milling of thin-walled parts, the cutter-workpiece temperature rises asymptotically with cutting speed, causing excessive cutter tooth wear and workpiece thermal expansion, which in turn reduces the cutter life and produces dimensional an ...

Springer-Verlag2009

Iterative surface design for constructions based on timber panels

Yves Weinand, Ivo Stotz, Gilles Gouaty

The aim of our research is to develop a powerful tool for the generation and the fabrication of free-form architecture. Within the last years, architectural design has shown great interest in the design of new and complex geometries, commonly known as free ...

EMPA2008