Deformable object modelling and its exploitation for engineering design

Design of functional shapes in mechanical engineering requires accuracy. Existing techniques for shape deformation used in computer graphics and animation are not suitable for mechanical design because their freeform nature do not cater to the accuracy essential in such design. This thesis present...

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Main Author: Fang, Li Xing
Other Authors: Lee, Yong Tsui
Format: Theses and Dissertations
Language:English
Published: 2008
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Online Access:http://hdl.handle.net/10356/13484
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Institution: Nanyang Technological University
Language: English
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spelling sg-ntu-dr.10356-134842023-03-11T16:56:51Z Deformable object modelling and its exploitation for engineering design Fang, Li Xing Lee, Yong Tsui School of Mechanical and Production Engineering DRNTU::Engineering::Mechanical engineering::Machine design and construction Design of functional shapes in mechanical engineering requires accuracy. Existing techniques for shape deformation used in computer graphics and animation are not suitable for mechanical design because their freeform nature do not cater to the accuracy essential in such design. This thesis presents a new method for shape deformation: applying non-linear transformations to freeform NURBS surfaces, producing a result that closely approximates the desire result. A transformation is specified as a function of the spatial variables, mapping points in Euclidean three space, E , into E . The result is achieved first by performing the transformation on the control points, and then adjusting the result. This result is approximate, but can be improved by increasing the number of control points, by adopting a procedure for automatically inserting control points. A recursive algorithm for adaptive knot refinement has been developed to determine where and by how much to refine the surfaces for a target tolerance through the transformation. This helps in reducing the number of control points required for the target tolerance. In the transformation, the original and deformed surfaces retain the same representation: NURBS. This is important because it means that a system needs only to deal with only one surface type, and not a range of them. Doctor of Philosophy (MPE) 2008-08-29T07:40:13Z 2008-10-20T08:20:32Z 2008-08-29T07:40:13Z 2008-10-20T08:20:32Z 1998 1998 Thesis http://hdl.handle.net/10356/13484 en 240 p. application/pdf
institution Nanyang Technological University
building NTU Library
continent Asia
country Singapore
Singapore
content_provider NTU Library
collection DR-NTU
language English
topic DRNTU::Engineering::Mechanical engineering::Machine design and construction
spellingShingle DRNTU::Engineering::Mechanical engineering::Machine design and construction
Fang, Li Xing
Deformable object modelling and its exploitation for engineering design
description Design of functional shapes in mechanical engineering requires accuracy. Existing techniques for shape deformation used in computer graphics and animation are not suitable for mechanical design because their freeform nature do not cater to the accuracy essential in such design. This thesis presents a new method for shape deformation: applying non-linear transformations to freeform NURBS surfaces, producing a result that closely approximates the desire result. A transformation is specified as a function of the spatial variables, mapping points in Euclidean three space, E , into E . The result is achieved first by performing the transformation on the control points, and then adjusting the result. This result is approximate, but can be improved by increasing the number of control points, by adopting a procedure for automatically inserting control points. A recursive algorithm for adaptive knot refinement has been developed to determine where and by how much to refine the surfaces for a target tolerance through the transformation. This helps in reducing the number of control points required for the target tolerance. In the transformation, the original and deformed surfaces retain the same representation: NURBS. This is important because it means that a system needs only to deal with only one surface type, and not a range of them.
author2 Lee, Yong Tsui
author_facet Lee, Yong Tsui
Fang, Li Xing
format Theses and Dissertations
author Fang, Li Xing
author_sort Fang, Li Xing
title Deformable object modelling and its exploitation for engineering design
title_short Deformable object modelling and its exploitation for engineering design
title_full Deformable object modelling and its exploitation for engineering design
title_fullStr Deformable object modelling and its exploitation for engineering design
title_full_unstemmed Deformable object modelling and its exploitation for engineering design
title_sort deformable object modelling and its exploitation for engineering design
publishDate 2008
url http://hdl.handle.net/10356/13484
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