Subdivision Or Refinement B-Spline Curves And Surfaces
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Date
2005-05
Authors
YUNPYNG, KANG
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Abstract
CAGD is the abbreviation for Computer Aided Geometric Design. In CAGD, the
subdivision scheme is gaining popularity among the computer graphics and geometric
modeling community and has achieved considerable success.
The objectives of this dissertation are to study and to understand the subdivision
schemes of Chaikin's algorithm and Catmull & Clark's algorithm. Then, these
subdivision schemes is applied to obtain refmed curve and surface by using the software,
Mathematica.
The Chaikin's algorithm is used to refme a curve from an arbitrary control
polygon, formed by a set of control points.
By repeating the application of Catmull & Clark's algorithm, the limit of a
sequence successfully refmed the polyhedral meshes created. Therefore, a visually
pleasing refmed surface can be generated.
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Keywords
Subdivision Or Refinement B-Spline , Curves And Surfaces