Please use this identifier to cite or link to this item: http://localhost:80/xmlui/handle/123456789/7914
Title: GEOMETRIC MODELLING USING SUBDIVISION TECHNIQUES
Authors: AHMAD, NADEEM
Keywords: Natural Sciences
Issue Date: 2007
Publisher: UNIVERSITY OF THE PUNJAB LAHORE, PAKISTAN
Abstract: Subdivision techniques are being appreciated in geometric modelling. Curves be- ing the basic ingredient of the surfaces, have their own importance. Since no single scheme can be fit for every situation so, there is always a room to introduce new schemes. In this dissertation the interpolating curve subdivision scheme developed by Weissman [50], has been analyzed, using Laurent polynomial method. More- over, four approximating curve subdivision schemes have been developed. These schemes have also been analyzed, using Laurent polynomial method. The local supports of these schemes are determined as well. Regarding surface generation, a mathematical model of a three dimensional object using cross sectional data has been constructed. An algorithm for generating quadrilateral net is presented. The contours have been generated interpolating the data at each section, using a linear subdivision scheme introduced by Dyn et al. [17]. The contours have been, then, blended using the non-linear subdivision scheme developed Aspert [2]. The im- plementation of the schemes developed have also been depicted through different examples.
URI: http://142.54.178.187:9060/xmlui/handle/123456789/7914
Appears in Collections:Thesis

Files in This Item:
File Description SizeFormat 
410.htm127 BHTMLView/Open


Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.