Concept

Euclidean distance

Related publications (209)

Analysis of Descent-Based Image Registration

We present a performance analysis for image registration with gradient descent. We consider a typical multiscale registration setting where the global 2-D translation between a pair of images is estimated by smoothing the images and minimizing the distance ...

2013

The number of distinct distances from a vertex of a convex polygon

János Pach, Rom Pinchasi, Gabriel Nivasch

Erd\H{o}s conjectured in 1946 that every n-point set P in convex position in the plane contains a point that determines at least floor(n/2) distinct distances to the other points of P. The best known lower bound due to Dumitrescu (2006) is 13n/36 - O(1). I ...

2013

Markers for risk to develop atrial fibrillation based on a new electrocardiographic tool

Atrial fibrillation (AF) is the most important trigger for heart failure and stroke. Reliable methods for predicting AF are lacking and ECG analysis could improve this process. P-wave characteristics in the ECG are an important source of information in the ...

2013

Small distances in convex polygons

Filip Moric

Let d(1) < d(2) < ... denote the set of all distances between two vertices of a convex n-gon. We show that the number of pairs of vertices at distance d(2) from one another is at most n + O(1). (C) 2013 Elsevier B.V. All rights reserved. ...

Elsevier Science Bv2013

Mitigating modulation instability in Brillouin distributed fibre sensors

Luc Thévenaz, Marcelo Alfonso Soto Hernandez, Wei Chen, Mohammad Mehdi Alem Karladani

A thorough study of the generation of modulation instability (MI) in distributed Brillouin fibre sensors is presented. ASE noise co-propagating with the pump pulses within the MI gain spectrum has been identified to be an important factor seeding modulatio ...

Spie-Int Soc Optical Engineering2013

Growth mechanisms and process window for InAs V-shaped nanoscale membranes on Si[001]

Esther Alarcon Llado, Martin Heiss, Eleonora Russo, Sonia Conesa Boj, Anna Dalmau Mallorquí, Ignasi Canales Mundet

Organized growth of high aspect-ratio nanostructures such as membranes is interesting for opto-electronic and energy harvesting applications. Recently, we reported a new form of InAs nano-membranes grown on Si substrates with enhanced light scattering prop ...

Institute of Physics2013

Commuting Scales. Dynamic Mapping of Time Accessibility

Boris Beaude, Luc Guillemot

Visualization tools can facilitate access to complex spatial phenomenon. This access is what the application to be presented aims at. As a case study to such a complex phenomenon, the addressed question is that of the commuters' space of the Swiss federal ...

2012

A Modular Timber Structure

Yves Weinand, Seyed Sina Nabaei

The presented reciprocal frame structure is a modular composition of timber folded panels. The overall geometry is driven from a folded plate base module which is then spartially multiplied in using Euclidean isometries. The intersection of consecutive mod ...

2012

Consistent Digital Line Segments

Doemoetoer Palvoelgyi

We introduce a novel and general approach for digitalization of line segments in the plane that satisfies a set of axioms naturally arising from Euclidean axioms. In particular, we show how to derive such a system of digital segments from any total order o ...

2012

Left-inverses of fractional Laplacian and sparse stochastic processes

Michaël Unser

The fractional Laplacian (-Delta)(gamma/2) commutes with the primary coordination transformations in the Euclidean space Rd: dilation, translation and rotation, and has tight link to splines, fractals and stable Levy processes. For 0 < gamma < d, its inver ...

Springer2012

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