This page describes current work on hypercomplex processing of digital colour images in the Multimedia Architectures and Applications Research Group in the Department of Electronic Systems Engineering at the University of Essex.

<http://privatewww.essex.ac.uk/~sjs/research/hypercomplex_ip.html>

Quaternion Reference Site.

Dave Barber www.gsu.edu

Basics. Notation, addition, subtraction. Multiplication. Also division, such as it is. Limits. Algebra. Matrix representations, linearity and polynomials. Rotation. Rotation proofs. Differentiation. Differentiation proofs. Multiple differentiation Integration. Standard functions. Exponentials and such. Factorizations. Factorizations of integer quaternions. PM-Equivalence. R-Equivalence. Cis-Equivalence. Factoring example. Numbers related to quaternions.

<http://www.gsu.edu/~oprdeb/qtrn/>

Maths - Orthogonal Properties of Quaternions

Martin John Baker

This page compares quaternion multiplication and orthogonal matrix multiplication as a means to represent rotation.

<http://www.euclideanspace.com/maths/algebra/realNormedAlgebra/quaternions/orthogonal/index.htm>

ALGORITHMES

FAQ Matrices et Quaternions

traduction de Mustapha Bismi Nexus 3D

<http://membres.lycos.fr/javamus/articles/mqfaq.html>

The Matrix and Quaternions FAQ

<http://www.flipcode.com/documents/matrfaq.html>

CONCOURS

PrÃ©paration Ã l'agrÃ©gation de mathÃ©matiques (concours externe)

Quaternions et rotations Y. CoudÃ¨ne

<http://agreg-maths.univ-rennes1.fr/>

EXEMPLES - EXAMPLES

AMS The Directed Hamiltonian Path Problem

<http://www.ams.org/new-in-math/cover/dna-abc2.html>

IMAGES

l'ensemble de Julia dans le corps des quaternions

Jean-Francois Colonna France Telecom R&D/DTL/DLI and CMAP/Ecole Polytechnique.

<http://www.lactamme.polytechnique.fr/Mosaic/images/JULI.n2.D/display.html>

JAVA

A Quaternion Calculator

Doug Sweetser This is a calculator that can take real, complex numbers or quaternions as input, using the scalar, i, j and k buttons for each part.

<http://world.std.com/%7Esweetser/java/qcalc/qcalc.html>

SUJETS - SUBJECTS

Quaternions and spatial rotation

<http://www.algebra.com/algebra/about/history/Quaternions-and-spatial-rotation.wikipedia>

An Introduction To Representing Rotations In Quaternion Arithmetic

Si Brown

<http://www.sjbrown.co.uk/quaternions.html>

UnrealScript

is the Java-style programming language used by the Unreal Engine. This is the starting point for the Unreal Wiki's reference pages... Geometry - Quaternion (Quaternion pour reprÃ©senter une rotation dans l'espace Ã trois dimensions)

<http://wiki.beyondunreal.com/wiki/UnrealScript>

Determinants of quaternions

James Mills Peirce Bull. Amer. Math. Soc. 5 (1899), 335-337.

<http://www.ams.org/bull/1899-05-07/S0002-9904-1899-00617-7/S0002-9904-1899-00617-7.pdf>

DOCUMENTS - PAPERS

Color Image Watermarking Using Quaternion Fourier Transform

P. Bas, N. Le Bihan and J-M Chassery

<http://www.lis.inpg.fr/pages_perso/bas/gretsi03.pdf>

Fractions continues

On the connexion of quaternions with continued fractions and quadratic equations

William Rowan Hamilton 1853

<http://www.emis.de/classics/Hamilton/PRIAQCF.pdf>

Quaternions and Orthogonal 4x4 Real Matrices

Henry G. Baker

<http://hysteria.sk/~mikro/Coding/2/ORTHO.TXT>

Do We Really Need Quaternions?

Diana Gruber

<http://www.gamedev.net/reference/articles/article1199.asp>

COURS - COURSES

Maths - Quaternions

Martin John Baker

mirrors http://www.euclideanspace.com/ http://www.martinb.com/

<http://www.euclideanspace.com/maths/algebra/realNormedAlgebra/quaternions/>

Quaternions.ps

Ken Shoemake

Book Archive www.bhargav.com/books/Math /books/Math

<http://www.bhargav.com/books/Math/Quaternions.ps>

HISTORIQUES - HISTORY

William Rowan Hamilton

BibM@th V&F Bayart

<http://www.bibmath.net/bios/index.php3?action=affiche&quoi=hamilton>

Sir William Rowan Hamilton

School of Mathematics and Statistics

<http://www-groups.dcs.st-and.ac.uk/~history/Mathematicians/Hamilton.html>

Sir William Rowan Hamilton

A l'Ã¢ge de 5 ans, Hamilton avait dÃ©jÃ Ã©tudiÃ© le latin, le grec et l'hÃ©breu et il maÃ®trisa rapidement d'autres langues. A l'Ã¢ge de 15 ans il se mit Ã l'Ã©tude des travaux de Newton et de Laplace.

<http://xavier.hubaut.info/coursmath/bio/hamilton.htm>

Elements of the Quaternion Algebra with an Application to Electrical Technology and Rotations in 3D

Pekka T. Laakso

<http://wnet.suomi.net/kotisivu/pekkat.laakso/kvaten.pdf>

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