Publications related to Geometrical reconstruction of curves and surfaces using NURBS

Development of a methodology for extreme flood estimation

Anton Schleiss, Javier García Hernández, Frédéric Jordan, Fränz Zeimetz, Guillaume Mathieu Artigue, Ramona Georgeta Receanu

The development of a methodology for extreme flood estimation is the aim of the project CRUEX++. This project follows the CRUEX project which aimed at the development of a PMP-PMF methodology (PMP=Probable Maximum precipitation, PMF=Probable Maximum Flood) ...

2016

A Family of Smooth and Interpolatory Basis Functions for Parametric Curve and Surface Representation

Michaël Unser, Daniel Andreas Schmitter, Ricard Delgado Gonzalo

Interpolatory basis functions are helpful to specify parametric curves or surfaces that can be modified by simple user-interaction. Their main advantage is a characterization of the object by a set of control points that lie on the shape itself (i.e., curv ...

2016

An Inner-Product Calculus for Periodic Functions and Curves

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

Our motivation is the design of efficient algorithms to process closed curves represented by basis functions or wavelets. To that end, we introduce an inner-product calculus to evaluate correlations and

L _{ 2 }

distances between such curves. In partic ...

2016

On the Richter-Thomassen Conjecture about Pairwise Intersecting Closed Curves

János Pach, Gábor Tardos

A long-standing conjecture of Richter and Thomassen states that the total number of intersection points between any n simple closed Jordan curves in the plane, so that any pair of them intersect and no three curves pass through the same point, is at least ...

Cambridge Univ Press2016

Similarity-Based Shape Priors for 2D Spline Snakes

Michaël Unser, Daniel Andreas Schmitter

We present a new formulation of a shape space containing all continuously defined 2D spline curves up to a similarity transform of a reference shape. We are able to measure a distance between an arbitrary curve and the shape space itself. Our contribution ...

IEEE2015

MATHICSE Technical Report : INTERNODES: an accurate interpolation-based method for coupling the Galerkin solutations of PDEs on subdomains featuring non-conforming interfaces

Alfio Quarteroni, Simone Deparis, Davide Forti

We are interested in the approximation of partial differential equations on domains decomposed into two (or several) subdomains featuring non-conforming interfaces. The non-conformity may be due to different meshes and/or different polynomial degrees used ...

MATHICSE2015

Development of a methodology for extreme flood estimation

Javier García Hernández, Frédéric Jordan, Fränz Zeimetz, Guillaume Mathieu Artigue

The development of a methodology for extreme flood estimation is the aim of the project CRUEX++. This project follows the CRUEX project which aimed at the development of a PMP-PMF methodology (PMP=Probable Maximum precipitation, PMF=Probable Maximum Flood) ...

2015

Building Cultures Valparaiso: pedagogy practice and poetry at the Valparaiso School of Architecture and Design

Patricia Guaita, Cornelia Dominique Tapparelli Portilla Kawamura, Sony Devabhaktuni

"'Building Cultures Valparaiso" investigates the radical approach to teaching and making at the School of Architecture and Design in Valparaiso, Chile. With newly commissioned essays from, among other, Beatriz Colomina, Ignacio Gonzalez Galán and Gerald Wi ...

EPFL Press2015

Muscles in a Shoulder Model: Identification of the necessary number of muscle cables

Jeannette Liniger

The shoulder complex is a complex articulation of the human body. It consists of several bones and joints and is moved and stabilized by 16 muscles. The muscle forces can not be measured experimentally, but can be computed using numerical methods. An exist ...

2014

Snakes with Tangent-Based Control and Energies for Bioimage Analysis

Michaël Unser, Ricard Delgado Gonzalo, Virginie Sophie Uhlmann

We propose a novel active contour for the analysis of filament-like structures and boundaries—features that traditional snakes based on closed curves have difficulties to delineate. Our method relies on a parametric representation of an open curve involvin ...

IEEE2014

Geometrical reconstruction of curves and surfaces using NURBS

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Development of a methodology for extreme flood estimation

A Family of Smooth and Interpolatory Basis Functions for Parametric Curve and Surface Representation

An Inner-Product Calculus for Periodic Functions and Curves

On the Richter-Thomassen Conjecture about Pairwise Intersecting Closed Curves

Similarity-Based Shape Priors for 2D Spline Snakes

MATHICSE Technical Report : INTERNODES: an accurate interpolation-based method for coupling the Galerkin solutations of PDEs on subdomains featuring non-conforming interfaces

Development of a methodology for extreme flood estimation

Building Cultures Valparaiso: pedagogy practice and poetry at the Valparaiso School of Architecture and Design

Muscles in a Shoulder Model: Identification of the necessary number of muscle cables

Snakes with Tangent-Based Control and Energies for Bioimage Analysis

Building Cultures Valparaiso: pedagogy practice and poetry at the Valparaiso School of Architecture and Design

Development of a methodology for extreme flood estimation

A Family of Smooth and Interpolatory Basis Functions for Parametric Curve and Surface Representation

Development of a methodology for extreme flood estimation

Muscles in a Shoulder Model: Identification of the necessary number of muscle cables

Similarity-Based Shape Priors for 2D Spline Snakes

Snakes with Tangent-Based Control and Energies for Bioimage Analysis

On the Richter-Thomassen Conjecture about Pairwise Intersecting Closed Curves

An Inner-Product Calculus for Periodic Functions and Curves

MATHICSE Technical Report : INTERNODES: an accurate interpolation-based method for coupling the Galerkin solutations of PDEs on subdomains featuring non-conforming interfaces