Concept

Curve

Related publications (164)

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Biomimetic soft lithography on curved nanostructured surfaces

Jürgen Brugger, Thomas Kiefer, Valentin Flauraud, Vaida Auzelyte

In this paper a nano-molding process using a nature-created master is demonstrated. The eye of night moth Agotis exclamationis having 100 nm-scale structures on a curved surface is used as biomimetic master mold from which nanostructures are replicated ont ...

Elsevier2012

Special Curve Patterns for Freeform Architecture

Bailin Deng

In recent years, freeform shapes are gaining more and more popularity in architecture. Such shapes are often challenging to manufacture, and have motivated an active research field called architectural geometry. In this thesis, we investigate patterns of s ...

Vienna University of Technology2011

Sampling Curves with Finite Rate of Innovation

Thierry Blu, Hanjie Pan, Pier Luigi Dragotti

We focus on a specific class of curves that can be parametrized using a finite number of variables in two dimensions. The corresponding indicator plane, which is a binary image, has infinite bandwidth and can not be sampled and perfectly reconstructed with ...

2011

What are the Longest Ropes on the Unit Sphere?

Henryk Gerlach

We consider the variational problem of finding the longest closed curves of given minimal thickness on the unit sphere. After establishing the existence of solutions for any given thickness between 0 and 1, we explicitly construct for each given thickness ...

Springer-Verlag2011

On Sphere-Filling Ropes

Henryk Gerlach

What is the longest rope on the unit sphere? Intuition tells us that the answer to this packing problem depends on the rope's thickness. For a countably infinite number of prescribed thickness values we construct and classify all solution curves. The simpl ...

2011

Piercing Quasi-Rectangles: On a Problem of Danzer and Rogers

János Pach, Gábor Tardos

It is an old problem of Danzer and Rogers to decide whether it is possible arrange O(1/epsilon) points in the unit square so that every rectangle of area epsilon contains at least one of them. We show that the answer to this question is in the negative if ...

Springer-Verlag Berlin2011

Representing complex urban geometries in mesoscale modeling

Darren Robinson, Alain Clappier, Adil Rasheed

Real cities are comprised of a diverse, random arrangement of building positions, shapes, and sizes. Yet most of the urban parameterisations thus far developed share the assumption that a city is made up of either a regular array of parallelepipeds or infi ...

2011

Universal amplitudes of the Casimir-like interactions between four types of rods in fluid membranes

Anne-Florence Raphaëlle Bitbol

The fluctuation-induced, Casimir-like interaction between two parallel rods of length L adsorbed on a fluid membrane is calculated analytically at short separations d < L. The rods are modeled as constraints imposed on the membrane curvature along a strai ...

IOP Publishing2011

Biomimetic soft lithography on curved nanostructured surfaces

Jürgen Brugger, Thomas Kiefer, Valentin Flauraud, Vaida Auzelyte

In this paper a nano-molding process using a nature-created master is demonstrated. The eye of night moth Agotis Exclamationis having 100 nm-scale structures on a curved surface is used as biomimetic master mold from which nanostructures are replicated ont ...

Elsevier Science Bv2011

Slip-stick mechanism in training the superconducting magnets in the Large Hadron Collider

Pier Paolo Granieri

Superconducting magnets can exhibit training quenches during successive powering to reaching nominal performance. The slip-stick motion of the conductors is considered to be one of the mechanisms of training. In this paper we present a simple quantitative ...

2011