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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
These proceedings contain contributions presented at the fourth Ph.D. Workshop of the Institute of Geonics of the Academy of Sciences of the Czech Republic held in this year simultaneously in Ostrava and in Brno on November 19, 2009. Ph.D. training belongs among the most important activities not only of the universities but also of the institutes of the Academy of Sciences of the Czech Republic. Note that in total more than 2000 Ph.D. students are being trained at the institutes of the Czech Academy of Sciences. It guarantees that the knowledge and experience from the research will be forwarded and extended, which is of principal importance for the development of the research and the whole academic system.
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