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GEOMETRIC MODELLING USING SUBDIVISION TECHNIQUES

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dc.contributor.author AHMAD, NADEEM
dc.date.accessioned 2017-11-28T07:58:21Z
dc.date.accessioned 2020-04-14T19:33:36Z
dc.date.available 2020-04-14T19:33:36Z
dc.date.issued 2007
dc.identifier.uri http://142.54.178.187:9060/xmlui/handle/123456789/7914
dc.description.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. en_US
dc.description.sponsorship Higher Education Commission, Pakistan en_US
dc.language.iso en en_US
dc.publisher UNIVERSITY OF THE PUNJAB LAHORE, PAKISTAN en_US
dc.subject Natural Sciences en_US
dc.title GEOMETRIC MODELLING USING SUBDIVISION TECHNIQUES en_US
dc.type Thesis en_US


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