Introdução à Álgebra Geométrica (2013.1) - UFF

Bibliografia Básica
L. Dorst, D. Fontijine, and S. Mann, Geometric algebra for computer science: an
object oriented approach to geometry. Morgan Kaufmann Publishers, 2007.
C. Perwass, Geometric algebra with applications in engineering. Springer Publishing
Company, 2009.
G. Sommer, Geometric computing with Clifford algebras. Springer Publishing
Company, 2001.
Bibliografia Complementar
L. Dorst, S. Mann, “Geometric algebra: a computational framework for geometrical
applications, Part 1,” IEEE Computer Graphics and Applications, vol. 22, no. 3, pp.
24-31, 2002.
L. A. F. Fernandes, M. M. Oliveira, “Geometric algebra: a powerful tool for solving
geometric problems in visual computing,” Tutorials of Sibgrapi 2009 (XXII Brazilian
Symposium on Computer Graphics and Image Processing), Rio de Janeiro, Brazil,
2009.
D. Hildenbrand, D. Fontijne, C. Perwass, L. Dorst, “Geometric algebra and its
application to computer graphics,” Tutorial 3 of Eurographics 2004, Grenoble,
France, 2004.
S. Mann, L. Dorst, “Geometric algebra: a computational framework for geometrical
applications, Part 2,” IEEE Computer Graphics and Applications, vol. 22, no. 4, pp.
58-67, 2002.
Algumas Publicações Comentadas em Aula
T. A. Bouma, L. Dorst, H. G. J. Pijls. “Geometric algebra for subspace operations”.
Acta Appl. Math., 73(3), pp.285-300, 2002.
W. K. Clifford. “Applications of Grassmann's extensive algebra”. Am. J. Math., The
Johns Hopkins University Press, 1(4), pp.350-358, 1878.
R. N. Goldman. “Illicit expressions in vector algebra”. ACM Trans. Graph., 4(3),
pp.223-243, 1985.
H. G. Grassmann. “Verwendung der Ausdehnungslehre fur die allgemeine Theorie der
Polaren und den Zusammenhang algebraischer Gebilde”. J. Reine Angew. Math.
(Crelle's J.), Walter de Gruyter Und Co., 84, pp.273-283, 1877.
W. R. Hamilton. “On a new species of imaginary quantities connected with the theory
of quaternions”. Proc. of the Royal Irish Acad., 2, pp.424-434, 1844.
C. B. U. Perwass. “Analysis of local image structure using intersections of conics”.
Instituts für Informatik und Praktische Mathematik der Universität Kiel,
Germany,Tech. Rep. Nr. 0403, 2004.
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