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A survey of partial differential equations in geometric design

Gonzalez Castro, Gabriela
Ugail, Hassan
Willis, P.
Palmer, Ian J.
Publication Date
2008
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© 2008 Springer Berlin. Reproduced in accordance with the publisher's self-archiving policy.
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Abstract
Computer aided geometric design is an area where the improvement of surface generation techniques is an everlasting demand since faster and more accurate geometric models are required. Traditional methods for generating surfaces were initially mainly based upon interpolation algorithms. Recently, partial differential equations (PDE) were introduced as a valuable tool for geometric modelling since they offer a number of features from which these areas can benefit. This work summarises the uses given to PDE surfaces as a surface generation technique together
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Gonzalez Castro, G., Ugail, H., Willis, P. and Palmer, I.J. (2008). A survey of partial differential equations in geometric design. Visual Computer. Vol. 24, No. 3, pp. 213-225.
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