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Doo-Sabinova subdivizijska shema
ID Grujić, Maja (Author), ID Krajnc, Marjetka (Mentor) More about this mentor... This link opens in a new window

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MD5: 10D6E9746B6769B5BBA97B1420344FD9
PID: 20.500.12556/rul/9a5137f2-a054-41cc-b48f-1baff1f4ce3c

Abstract
Subdivizija je metoda za generiranje gladkih krivulj in ploskev iz danih poligonskih mrež. Subdivizijsko ploskev generiramo s pomočjo pravil, ki jih imenujemo subdivizijske sheme. Shema začne z začetnim kontrolnim poligonom in v vsakem koraku konstruira finejši poligon, ki je v limiti gladka ploskev, ki se dobro prilega začetnemu kontrolnemu poligonu. Pravila za konstrukcijo finejšega poligona se od sheme do sheme razlikujejo, zato imamo različne kriterije za klasifikacijo subdivizijskih shem. V diplomskem delu je predstavljena Doo-Sabinova shema, ki temelji na bikvadratičnih B-zlepkih. Cilj diplomskega dela je poiskati povezavo med bikvadratičnimi B-zlepki in pravili za določanje novih točk kontrolnega poligona. Shema je za regularna vozlišča implementirana v okolju Matlab, za neregularna vozlišča pa praktično prikazana.

Language:Slovenian
Keywords:Doo, Sabin, subdivizija, subdivizijska shema, subdivizijske ploskve, kvadratični B - zlepki, bikvadratični B - zlepki
Work type:Bachelor thesis/paper
Organization:FRI - Faculty of Computer and Information Science
Year:2014
PID:20.500.12556/RUL-29518 This link opens in a new window
COBISS.SI-ID:1536062915 This link opens in a new window
Publication date in RUL:19.09.2014
Views:1726
Downloads:418
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Secondary language

Language:English
Title:Doo-Sabin subdivision scheme
Abstract:
Subdivision is a method of representing a smooth curve or a surface. The subdivision process begins with a polygonal mesh. Refinement rules are then applied to this mesh and in a limit a smooth surface is produced. There is a variety of existing subdivision schemes, that can be classified based on different criteria. In this work Doo-Sabin subdivision scheme for surfaces is presented, which is connected to biquadratic B-splines. The aim is to find this connection and to practically present the scheme for regular and irregular vertices. Doo-Sabin scheme for regular vertices is also implemented in Matlab environment.

Keywords:Doo, Sabin, subdivision, subdivision scheme, subdivision surfaces, quadratic B-spline, biquadratic B-spline

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