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Shading of Bézier Patches
Kolcun, Alexej ; Bocek, J.
There are well known shading algorithms (Gouraud, Phong) for the surfaces shading. The problem is that such algorithms just approximate the real shading. Precise shading algorithms require the values of normal vectors at all points of rendered surface. Computation of normal vector for Cartesian and triangular parametric surfaces is presented in the paper.
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Bézier Form of S-Patches
Kolcun, Alexej
In this paper the main properties for the biquadratic case of S-patches are described. Bézier form of patches is used. It gives us the possibility to find the correlation between triangular and quadrilateral patches. Condition for smooth concatenation of biquadratic BS-patches is formulated.
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Biquadratic S-Patch in Bézier form
Kolcun, Alexej
Mutual conversions between triangular and quadrilateral meshes need the same degree of both diagonal and boundary curves of quadrilateral meshes. New approach to quadrilateral patches, S-Patches, offers such possibility. The Bézier approach of Smart patches (S-Patch) in the biquadratic case is analyzed. Dependencies among the control points are derived. BS-Patches are presented. Close relation between Bézier triangles and BSPatches is found. Condition for smooth concatenation of biquadratic BS-Patches is formulated.
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Ph.D. Workshop 2010 Proceedings
Blaheta, Radim ; Kolcun, Alexej
These proceedings contain abstracts and contributions presented at the fifth Ph.D. Workshop of the Institute of Geonics of the Academy of Sciences of the Czech Republic. The workshop is split into two parts held simultaneously in Ostrava and in Brno, which concern geotechnics, rock mechanics, geophysics and mathematical modeling (Ostrava) and physical and social geography (Brno). The main aim is to bring together the Ph.D. students studying and working or having their supervisors at the Institute of Geonics AS CR. For the whole research community, the workshop gives a possibility to see new results and follow the progress in work in the field of Ph.D. training, which is considered as very important for fulfilling the mission of the institute in the society and training researchers for the future development of the institute.
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Ph. D. Workshop 2009 Proceedings
Blaheta, Radim ; Kolcun, Alexej
Sborník obsahuje příspěvky, které byly prezentovány na 4. workshopu doktorandů, který se konal na Ústavu geoniky AV ČR. V letošním roce se workshop konal paralelně na ústavu v Ostravě a na pobočce ústavu v Brně, která je sídlem oddělení environmentální geografie.
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Workshop doktorandů 2008. Sborník
Blaheta, Radim ; Kolcun, Alexej
Hlavním cílem Workshopu bylo zveřejnit studium a práci doktorandů a jejich školitelů na Ústavu geoniky AV ČR.Témata presentují širokou rozmanitost problémů řešených na Ústavu geoniky. Problémy zahrnují vlastnosti geomateriálů, studování geomechanických, geodynamických a geofyzikálních vlivů, vývoj metod matematického modelování a problémy environmentální geografie.
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