Computational geometry in the preprocessing of point clouds for surface modeling
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1998
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In Computer Aided Geometric Design ( CAGD ) the automated fitting of surfaces to massive series of data points presents several difficulties: (i) even the formal definition of the problem is ambiguous because the mathematical characteristics (continuity, for example) of the surface fit are dependent on non-geometric considerations, (ii) the data has an stochastic sampling component that cannot be taken as literal, and, (iii) digitization characteristics, such as sampling interval and directions are not constant, etc -- In response, this investigation presents a set of computational tools to reduce, organize and re-sample the data set to fit the surface -- The routines have been implemented to be portable across modeling or CAD servers -- A case study is presented from the footwear industry, successfully allowing the preparation of a foreign, neutral laser digitization of a last for fitting a B-spline surface to it -- Such a result was in the past attainable only by using proprietary software, produced by the same maker of the digitizing hardware
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@inproceedings{1998_Ruiz_Computational,
title={Computational Geometry in the Preprocessing of Point Clouds for Surface Modeling},
author={Ruiz, O. and Posada, J.},
booktitle={Integrated Design and Manufacturing in Mechanical Engineering},
address={Compiegne, France},
isbn={2-913087-03-5},
pages={613--620},
year={1998},
}