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NON-PARAMETRIC IMAGE REGISTRATION

Jan Modersitzki

in Numerical Methods for Image Registration

Published in print:
2003
Published Online:
September 2007
ISBN:
9780198528418
eISBN:
9780191713583
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198528418.003.0008
Subject:
Mathematics, Applied Mathematics

This chapter introduces non-parametric registrations. The idea behind this type of registration is to come up with an appropriate measure both for the similarity as well as for the likelihood of a ... More


Numerical Solution

W. Otto Friesen and Jonathon A. Friesen

in NeuroDynamix II: Concepts of Neurophysiology Illustrated by Computer Simulations

Published in print:
2009
Published Online:
February 2010
ISBN:
9780195371833
eISBN:
9780199865178
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780195371833.003.0024
Subject:
Psychology, Cognitive Neuroscience

This chapter describes the method for numerical integration of the equations that underlie NeuroDynamix II models.


Outlook

Sergey N. Dorogovtsev

in Lectures on Complex Networks

Published in print:
2010
Published Online:
May 2010
ISBN:
9780199548927
eISBN:
9780191720574
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199548927.003.0015
Subject:
Physics, Theoretical, Computational, and Statistical Physics

In this concluding section of the text, the three major milestones marking the history of the exploration of networks are indicated. These are: Leonhard Euler's work (1735), the introduction of ... More


o n e The Vis Viva Debate Kant's Starting Point

Martin Schönfeld

in The Philosophy of the Young Kant: The Precritical Project

Published in print:
2000
Published Online:
May 2006
ISBN:
9780195132182
eISBN:
9780199786336
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/0195132181.003.0002
Subject:
Philosophy, History of Philosophy

This chapter explores the context of Kant’s first and original puzzle: what actually is force? It is an account of the debate over kinetic energy (Leibniz’s “living force” or vis viva) and the ... More


s e v e n The Physical Monadology and theElements of Nature

Martin Schöneld

in The Philosophy of the Young Kant: The Precritical Project

Published in print:
2000
Published Online:
May 2006
ISBN:
9780195132182
eISBN:
9780199786336
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/0195132181.003.0008
Subject:
Philosophy, History of Philosophy

This chapter explores Kant’s professorial thesis, The Joint Use of Metaphysics and Geometry in Natural Philosophy, the First Example of Which Contains the Physical Monadology (1756). Section 1 ... More


n i n e The Newtonian Program of thePrize Essay and Kant's Crisis The Struggle for Freedom

Martin Schöneld

in The Philosophy of the Young Kant: The Precritical Project

Published in print:
2000
Published Online:
May 2006
ISBN:
9780195132182
eISBN:
9780199786336
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/0195132181.003.0010
Subject:
Philosophy, History of Philosophy

This chapter explores the aftermath of Only Possible Argument and the Prize Essay (1764). Section 1 examines the curious preface of Kant’s third book, the exchange with Mendelssohn, and Kant’s ... More


Catalan Numbers with Applications

Thomas Koshy

Published in print:
2008
Published Online:
January 2009
ISBN:
9780195334548
eISBN:
9780199868766
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780195334548.001.0001
Subject:
Mathematics, Combinatorics / Graph Theory / Discrete Mathematics

Fibonacci and Lucas sequences are “two shining stars in the vast array of integer sequences,” and because of their ubiquitousness, tendency to appear in quite unexpected and unrelated places, ... More


HYPERBOLIC CONSERVATION LAWS

George Em Karniadakis and Spencer J. Sherwin

in Spectral/hp Element Methods for Computational Fluid Dynamics

Published in print:
2005
Published Online:
September 2007
ISBN:
9780198528692
eISBN:
9780191713491
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198528692.003.0010
Subject:
Mathematics, Numerical Analysis

This chapter discusses compressible Euler and Navier-Stokes equations as well as general hyperbolic conservation laws. The principle issue is how effectively to use the high-order expansions of the ... More


RADON TRANSFORM AS THE INTERRELATION OF GEOMETRY AND ANALYSIS

Leon Ehrenpreis

in The Universality of the Radon Transform

Published in print:
2003
Published Online:
September 2007
ISBN:
9780198509783
eISBN:
9780191709166
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198509783.003.0008
Subject:
Mathematics, Mathematical Physics

This chapter deals with various questions which are related to the Radon transform, for example, the analog for forms, Selberg's trace formula. It gives a sharpening of the classical Euler-Maclaurin ... More


THE MATHEMATICAL SETTING

Jan Modersitzki

in Numerical Methods for Image Registration

Published in print:
2003
Published Online:
September 2007
ISBN:
9780198528418
eISBN:
9780191713583
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198528418.003.0003
Subject:
Mathematics, Applied Mathematics

The basic mathematical notation is introduced, including formal definitions of images and digital images, midpoint and meshpoint grids. Local and global interpolation techniques such as ... More


ELASTIC REGISTRATION

Jan Modersitzki

in Numerical Methods for Image Registration

Published in print:
2003
Published Online:
September 2007
ISBN:
9780198528418
eISBN:
9780191713583
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198528418.003.0009
Subject:
Mathematics, Applied Mathematics

This chapter introduces elastic registration using the general framework introduced in Chapter 8. A physical motivation for this particular regularizer is given. The two images are viewed as two ... More


Partial differential equations for fluids

Bijan Mohammadi and Olivier Pironneau

in Applied Shape Optimization for Fluids

Published in print:
2009
Published Online:
February 2010
ISBN:
9780199546909
eISBN:
9780191720482
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199546909.003.0003
Subject:
Mathematics, Mathematical Physics

This chapter describes the governing equations considered throughout the book. The equations of fluid dynamics are recalled, together with the k-epsilon turbulence model, which is used later on for ... More


Relativistic Fluids

Yvonne Choquet-Bruhat

in General Relativity and the Einstein Equations

Published in print:
2008
Published Online:
May 2009
ISBN:
9780199230723
eISBN:
9780191710872
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199230723.003.0009
Subject:
Mathematics, Applied Mathematics

This chapter presents general properties of perfect fluids. When appropriate definitions are given, some of these properties generalize well-known properties of non-relativistic perfect fluids. ... More


Introduction: From Pipeline Economics to Computational Economics

Ramon Marimon and Andrew Scott

in Computational Methods for the Study of Dynamic Economies

Published in print:
2001
Published Online:
November 2003
ISBN:
9780199248278
eISBN:
9780191596605
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/0199248273.003.0001
Subject:
Economics and Finance, Macro- and Monetary Economics

Starts by looking at the advances in macroeconomics that have been made since A. W. Phillips's 1958 Economica paper and his physical economic model (made of piping and valves) designed to teach ... More


RELATIVISTIC HYDRODYNAMICS

Miguel Alcubierre

in Introduction to 3+1 Numerical Relativity

Published in print:
2008
Published Online:
September 2008
ISBN:
9780199205677
eISBN:
9780191709371
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199205677.003.0007
Subject:
Physics, Theoretical, Computational, and Statistical Physics

This chapter presents the derivation of dynamical equations governing the motion of a perfect fluid, known as the Euler equations, both in the special and general relativistic cases. It considers ... More


The Fortunes of a Mechanical Model for Natural Philosophy

Stephen Gaukroger

in The Collapse of Mechanism and the Rise of Sensibility: Science and the Shaping of Modernity, 1680-1760

Published in print:
2010
Published Online:
January 2011
ISBN:
9780199594931
eISBN:
9780191595745
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199594931.003.0009
Subject:
Philosophy, Philosophy of Science, General

The basic assumption of ‘rational mechanics’ was that all natural philosophy was mechanics, and that, as mechanics was pursued with greater and greater detail and sophistication, the rest of natural ... More


Fluid Dynamics: Part 1: Classical Fluid Dynamics

Anatoly I. Ruban and Jitesh S. B. Gajjar

Published in print:
2014
Published Online:
August 2014
ISBN:
9780199681730
eISBN:
9780191761607
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199681730.001.0001
Subject:
Physics, Soft Matter / Biological Physics

This book, the first of a four-part series on fluid dynamics, consists of four chapters on classical theory suitable for an introductory undergraduate course. Chapter 1 discusses the continuum ... More


The rigid body

S. G. Rajeev

in Advanced Mechanics: From Euler's Determinism to Arnold's Chaos

Published in print:
2013
Published Online:
December 2013
ISBN:
9780199670857
eISBN:
9780191775154
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199670857.003.0005
Subject:
Physics, Atomic, Laser, and Optical Physics

In this chapter, the moment of inertia is defined and Euler's equations for the rigid body are derived. They can be solved in terms of Jacobi elliptic functions.


Hamilton–Jacobi theory

S. G. Rajeev

in Advanced Mechanics: From Euler's Determinism to Arnold's Chaos

Published in print:
2013
Published Online:
December 2013
ISBN:
9780199670857
eISBN:
9780191775154
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199670857.003.0009
Subject:
Physics, Atomic, Laser, and Optical Physics

This chapter derives the Hamilton-Jacobi equation. Euler's two centre problem is solved by using separation of variables in the elliptical co-ordinate system. The connection to the eikonal equation ... More


The Consequences of Extensivity

Robert H. Swendsen

in An Introduction to Statistical Mechanics and Thermodynamics

Published in print:
2012
Published Online:
December 2013
ISBN:
9780199646944
eISBN:
9780191775123
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199646944.003.0013
Subject:
Physics, Condensed Matter Physics / Materials

Although extensivity is not an essential property of thermodynamic systems, it is a very useful concept for analysing the properties of materials when we can ignore surface and boundary effects. This ... More


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