20.500.12556/RUL-29968 Intervalske Bézierove krivulje in ploskve diplomsko delo Interval Bézier curves and surfaces Med oblikovanjem in izdelavo predmetov s pomočjo računalnika moramo podatke večkrat prenašati med različnimi CAD/CAM sistemi. Zaradi razlik med zmogljivostmi posameznih sistemov moramo podatke med prenosom aproksimirati. V diplomskem delu si bomo ogledali intervalske Bézierove krivulje in ploskve, ki predstavljajo eno izmed mnogih aproksimacijskih shem, razvitih v ta namen. Na kratko si bomo ogledali intervalsko aritmetiko ter opisali osnovne lastnosti intervalskih Bézierovih krivulj. Ogledali so bomo osnovne algoritme, ki jih uporabljamo pri delu z Bézierovimi krivuljami in ploskvami, in jih posplošili na intervalske Bézierove krivulje ter ploskve. Vse algoritme bomo implementirali v programskem jeziku Octave oziroma Matlab in grafično prikazali rezultate, ki jih dobimo z uporabo algoritmov na izbranih primerih. Process of creating real world objects usually involves usage of more than one CAD/CAM system. Communicating product data between diverse systems that use incompatible internal representation schemes necessitates data conversion and approximation. Main focus of the thesis will be on Bézier curves and surface patches that offer a way of converting data while retaining information about the approximation error made during conversion. We will briefly review basic building blocks such as intervals, interval arithmetic and Bernstein basis functions, and then resume with describing interval Bézier curves and surface patches. Crucial algorithms that allow us to work with Bézier curves, Bézier surface patches and their interval counterparts will be implemented. We will conclude this thesis with short review of a few selected examples of interval Bézier curves and surface patches. Bézierove krivulje Bézierove ploskve intervalska aritmetika računalništvo računalništvo in informatika univerzitetni študij diplomske naloge interdisciplinarni študij Bézier curves Bézier surface patches interval arithmetic computer science computer and information science diploma interdisciplinary studies true false false [T. Borovšak] Slovenski jezik Angleški jezik Diplomsko delo/naloga 2014-10-09 16:09:30 2014-10-09 16:09:30 2024-08-13 09:55:56 0000-00-00 00:00:00 2014 0 0 51 str. 0000-00-00 NiDoloceno NiDoloceno NiDoloceno 0000-00-00 0000-00-00 0000-00-00 14063 1536143555 Borovsak_Tadej_-_Intervalske_Bezierove_krivulje_in_ploskve.pdf Borovsak_Tadej_-_Intervalske_Bezierove_krivulje_in_ploskve.pdf 1 4D265FB618EC5C024501005BE87345DC da663552643525a540a560d8277f5d5b76b550285776f2c1d7eef74181b45b70 304a9ba5-a1ad-11eb-a523-00155dcfd717 20.500.12556/rul/f1630782-d30c-4bfa-b90a-675dc5aa1bdb https://repozitorij.uni-lj.si/Dokument.php?lang=slv&id=29963 Fakulteta za računalništvo in informatiko 0 0 0