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Last update: Mgr. Šárka Voráčová, Ph.D. (06.04.2006)
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Last update: Mgr. Šárka Voráčová, Ph.D. (06.04.2006)
•J. Janyška, A. Sekaninová: Analytická teorie kuželoseček a kvadrik, skriptum Masarykovy univerzity v Brně, 2001 •M. Sekanina, L. Boček, M. Kočandrle, J. Šedivý: Geometrie II, SPNP,1988 •B. Budinský: Analytická a diferenciální geometrie, SNTL,1983 •G. Farin, J. Hoschek, M. Kim : Handbook of Computer Aided Geometric Design, Elsevier, 2002 •M. Lávička: KMA/G2 Geometrie 2, pomocný učební text, ZČU Plzeň, 2006, http://home.zcu.cz/~lavicka/subjects/subjects.htm |
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Last update: G_I (12.06.2007)
1. Definition of affine and Euclidean space, affine system, linear Cartesian coordinates, dependence of vectors 2. Barycentric coordinates, convex sets, affine combinations and it's application - algorithm de Casteljau 3. Affine subspaces, parallelism 4. Affine maps, axonometric images, cavalier and military projection 5. Euclidean motions and orthogonal projections 6. Projective space, homogenous coordinates, projective combinations 7. Projective maps, perspective projection 8. Reconstruction of the scene - epipolar geometry, fundamental and essential matrix 9. Conic section and quadrics in projective space 10. Fundamentals of differential geometry-curve, surface and it's parameterization 11. Arc length, osculating plane 12. Frenet frame, curvature and torsion of the curve 13. Representation of surface, curve on surface, first and second fundamental form. Gauss curvature 14. Special surfaces - minimal surfaces, Developable surface |