Concept

Brachistochrone curve

Related publications (20)

Special Curve Patterns for Freeform Architecture

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

Parametric Sensitivity of Path-Constrained Optimal Control: Towards Selective Input Adaptation

Dominique Bonvin, Benoît Chachuat, Saurabh Anand Deshpande

In the context of dynamic optimization, plant variations necessitate adaptation of the input profiles in order to guarantee both feasible and optimal operation. For those problems having path constraints, two sets of directions can be distinguished in the ...

2009

Conformational analysis of nucleic acids revisited: Curves

John Maddocks, Daiva Petkeviciute

We describe Curves+, a new nucleic acid conformational analysis program which is applicable to a wide range of nucleic acid structures, including those with up to four strands and with either canonical or modified bases and backbones. The program is algori ...

Oxford University Press2009

A Virtual Keyboard Based on True-3D Optical Ranging

Edoardo Charbon, Huan Du, Félix Lustenberger

In this paper, a complete system is presented which mimics a QWERTY keyboard on an arbitrary surface. The system consists of a pattern projector and a true-3D range camera for detecting the typing events. We exploit depth information acquired with the 3D r ...

2005

Efficient Energies and Algorithms for Parametric Snakes

Michaël Unser, Thierry Blu, Mathews Jacob

Parametric active contour models are one of the preferred approaches for image segmentation because of their computational efficiency and simplicity. However, they have a few drawbacks which limit their performance. In this paper, we identify some of these ...

IEEE2004

Global radii of curvature, and the biarc approximation of space curves

Jana Smutny

The distance from self-intersection of a (smooth and either closed or infinite) curve q in three dimensions can be characterised via the global radius of curvature at q(s), which is defined as the smallest possible radius amongst all circles passing throug ...

EPFL2004

Human walking along a curved path. I. Body trajectory, segment orientation and the effect of vision

Grégoire Courtine

Task‐related characteristics of gait and segment orientation during natural locomotion along a curved path have been described in order to gain insight into the neural organization of walking. The locomotor task implied continuous deviation from straight‐a ...

2003

Human walking along a curved path. II. Gait features and EMG patterns

Grégoire Courtine

We recorded basic gait features and associated patterns of leg muscle activity, occurring during continuous body progression when humans walked along a curved trajectory, in order to gain insight into the nervous mechanisms underlying the control of the as ...

2003

3-D Reconstruction of DNA Filaments from Stereo Cryo-Electron Micrographs

Michaël Unser, Thierry Blu, Mathews Jacob

We propose an algorithm for the 3-D reconstruction of DNA filaments from a pair of stereo cryo-electron micrographs. The underlying principle is to specify a 3-D model of a filament—described as a spline curve—and to fit it to the 2-D data using a snake-li ...

IEEE2002

On Finite-Dimensional Term Structure Models

Damir Filipovic

In this paper we provide the characterization of all finite-dimensional Heath-Jarrow-Morton models that admit arbitrary initial yield curves. It is well known that affine term structure models with time-dependent coef- ficients (such as the Hull-White exte ...

Princeton University2002

Graph Chatbot

Chat with Graph Search

Ask any question about EPFL courses, lectures, exercises, research, news, etc. or try the example questions below.

DISCLAIMER: The Graph Chatbot is not programmed to provide explicit or categorical answers to your questions. Rather, it transforms your questions into API requests that are distributed across the various IT services officially administered by EPFL. Its purpose is solely to collect and recommend relevant references to content that you can explore to help you answer your questions.