. . . "MEB060905" . . "As a main goal, this project is expected to support the mutual exchange of ideas between both teams (Czech and Austrian), and to promote interdisciplinary research. The planned scientific programme will be devoted both to the theoretical fundamentals and to the various computational aspects of applications. In addition to the main goal, the planned programme is also oriented on a number of particular issues which need interdisciplinary research: (i) It is planned to explore new technologies which help to overcome the existing design restrictions in CAD, which are caused, e.g., by the limitation to the exclusive use of rational parametric representations. (ii) Next, it is intended to provide other classes of useful geometries for Geometric Modelling and applications. (iii) Finally, the improvement of the mathematical representation of solid objects in geometric modelling is considered and the mathematical background is to be studied."@en . . . "1"^^ . "0"^^ . . "0"^^ . "0"^^ . "0"^^ . "2009-01-01+01:00"^^ . "2010-06-09+02:00"^^ . . "Effective Methods of Algebraic Geometry for Geometric Modelling and Industrial Applications."@en . . "The project was devoted both to theoretical fundamentals and also industrial applications. Mainly, we studied the methods for exact computation of trimmed offsets of 3-dimensional solid objects and varieties with rational chord length parameterizations."@en . "http://www.isvav.cz/projectDetail.do?rowId=MEB060905"^^ . . . "2011-06-30+02:00"^^ . . " Algebraic Geometry" . "Geometric Modelling; Algebraic Geometry; Industrial Applications"@en . . . . . "2010-12-31+01:00"^^ . "Geometric Modelling" . . . . "Hlavn\u00EDm c\u00EDlem projektu je podpo\u0159it vz\u00E1jemnou v\u00FDm\u011Bnu v\u00FDsledk\u016F mezi ob\u011Bma \u0159e\u0161itelsk\u00FDmi t\u00FDmy (\u010CR a Rakousko) a iniciovat hlub\u0161\u00ED interdisciplin\u00E1rn\u00ED v\u00FDzkum. Pl\u00E1novan\u00E1 v\u011Bdeck\u00E1 \u010Dinnost bude orientov\u00E1na jednak na z\u00E1kladn\u00ED v\u00FDzkum, ale i na v\u00FDzkum aplikovan\u00FD. Mezi d\u00EDl\u010D\u00ED c\u00EDle projektu tak mj. pat\u0159\u00ED: (i) studium nov\u00FDch technologi\u00ED sm\u011B\u0159uj\u00EDc\u00EDch k odstran\u011Bn\u00ED st\u00E1vaj\u00EDc\u00EDch omezen\u00ED CAD, nap\u0159. v\u00FDhradn\u00EDho pou\u017E\u00EDvan\u00ED racion\u00E1ln\u00EDch parametrizac\u00ED geometrick\u00FDch objekt\u016F; (ii) v\u00FDzkum nov\u00FDch (alternativn\u00EDch) geometrick\u00FDch syst\u00E9m\u016F vhodn\u00FDch pro pou\u017Eit\u00ED v geometrick\u00E9m modelov\u00E1n\u00ED a n\u00E1sledn\u00FDch technick\u00FDch aplikac\u00EDch; (iii) vylep\u0161en\u00ED reprezentace t\u011Bles v geometrick\u00E9m modelov\u00E1n\u00ED a studium souvisej\u00EDc\u00EDch matematick\u00FDch teori\u00ED." . "Efektivn\u00ED metody algebraick\u00E9 geometrie pro geometrick\u00E9 modelov\u00E1n\u00ED a pr\u016Fmyslov\u00E9 aplikace" . . "V r\u00E1mci projektu byly studov\u00E1ny jak teoretick\u00E9 algebraicko-geometrick\u00E9 z\u00E1klady, tak i n\u00E1sledn\u00E9 technick\u00E9 aplikace. P\u0159edev\u0161\u00EDm jsme se v\u011Bnovali metod\u00E1m pro p\u0159esn\u00E9 v\u00FDpo\u010Dty o\u0159\u00EDznut\u00FDch ofset\u016F a racion\u00E1ln\u00EDm variet\u00E1m s tzv. chord-length parametrizac\u00ED."@cs .