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  • Exploring the history of geometric modelling (Computer Aided Geometric Design, CAGD) in industrial and related applications we can clearly see that study of rational techniques and rational representations were at its very foundation. However, although CAGD and consequently a vast variety of geometrical applications is based on parametric piecewise rational representations, the major problem is that many natural geometrical operations do not preserve rationality of derived objects (among the most frequent such operations belong o setting, operation of convolution and Minkowski sums). Hence, studying the rationality belongs to challenging problems of geometric modelling.
  • Exploring the history of geometric modelling (Computer Aided Geometric Design, CAGD) in industrial and related applications we can clearly see that study of rational techniques and rational representations were at its very foundation. However, although CAGD and consequently a vast variety of geometrical applications is based on parametric piecewise rational representations, the major problem is that many natural geometrical operations do not preserve rationality of derived objects (among the most frequent such operations belong o setting, operation of convolution and Minkowski sums). Hence, studying the rationality belongs to challenging problems of geometric modelling. (en)
Title
  • On phenomenon of rationality in geometric modelling
  • On phenomenon of rationality in geometric modelling (en)
skos:prefLabel
  • On phenomenon of rationality in geometric modelling
  • On phenomenon of rationality in geometric modelling (en)
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  • RIV/49777513:23520/11:43898292!RIV12-MSM-23520___
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  • 1
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  • 218099
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  • RIV/49777513:23520/11:43898292
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  • Algebraic varieties, rational curves and surfaces, NURBS, geometric modelling, convolutions, o setting (en)
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  • CZ - Česká republika
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  • [7A6E7F542AC0]
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  • South Bohemia Mathematical Letters
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  • 19
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  • Lávička, Miroslav
http://linked.open...n/vavai/riv/zamer
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  • 1804-1450
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  • 23520
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