http://de.evo-art.org/index.php?action=history&feed=atom&title=The_Art_of_GeometryThe Art of Geometry - Versionsgeschichte2026-05-18T06:21:57ZVersionsgeschichte dieser Seite in de_evolutionary_art_orgMediaWiki 1.27.4http://de.evo-art.org/index.php?title=The_Art_of_Geometry&diff=3902&oldid=prevGbachelier: Die Seite wurde neu angelegt: „ == Reference == Daniela Velichová: The Art of Geometry. In: Bridges 2013. Pages 143–150 == DOI == == Abstract == This paper deals with new meth…“2015-01-28T11:13:27Z<p>Die Seite wurde neu angelegt: „ == Reference == Daniela Velichová: <a href="/index.php?title=The_Art_of_Geometry" title="The Art of Geometry">The Art of Geometry</a>. In: <a href="/index.php?title=Bridges_2013" title="Bridges 2013">Bridges 2013</a>. Pages 143–150 == DOI == == Abstract == This paper deals with new meth…“</p>
<p><b>Neue Seite</b></p><div><br />
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== Reference ==<br />
Daniela Velichová: [[The Art of Geometry]]. In: [[Bridges 2013]]. Pages 143–150 <br />
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== DOI ==<br />
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== Abstract ==<br />
This paper deals with new methods for modelling and studying shape in mathematics. It aims to show similarities<br />
between mathematical and artistic solutions applied in the creation of a piece of work – artistic or mathematical.<br />
Minkowski operations on point sets are introduced to create complex forms as point set combinations and used as<br />
generating principles for modelling various interesting geometric structures such as point mosaics, flexible curves<br />
and smooth surface patches in Euclidean space.<br />
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== Extended Abstract ==<br />
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== Bibtex == <br />
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== Used References ==<br />
[1] Kaul, A., Farouki, R. T., Computing Minkowski Sums of Planar Curves, International Journal of<br />
Computational Geometry and Applications, Vol. 5, pp. 413-432. 1995.<br />
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[2] Lee, I. K., Kim, M. S., Elber, G, The Minkowski Sum of 2D Curved Objects, Proceedings of Israel-<br />
Korea Bi-National Conference on New Themes in Computerized Geometrical Modelling, Tel-Aviv<br />
Univ., pp. 155-164. 1998.<br />
<br />
[3] Lee, I. K., Kim, M. S., Polynomial/Rational Approximation of Minkowski Sum Boundary Curves,<br />
Graphical Models and Image Processing, Vol. 60, No. 2, pp. 136–165. 1998.<br />
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[4] Peternel, M., Manhart, F., The Convolution of Paraboloid and a Parameterized Surface, Journal for<br />
Geometry and Graphics, Vol. 7, pp. 157-171. 2003.<br />
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[5] Velichová, D., Minkowski Sum in Geometric Modelling, Proceedings of the 6th Conference "Geometry<br />
and Graphics", Ustroň, Poland, pp. 65-66. 2009.<br />
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[6] Velichová, D., Minkowski Set Operations in Geometric Modelling of Continuous Riemannian<br />
Manifolds, Scientific Proceedings, STU in Bratislava, SR, ISBN 978-80-227-3326-7, pp. 179-186.<br />
2009.<br />
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[7] Velichová, D., Minkowski Set Operations in Modelling of Manifolds, Proceedings of the GeoGra<br />
International Conference, Budapest, Hungary, ISBN 978-963-08-3162-8, CD-rom, 4 pp. 2012.<br />
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== Links ==<br />
=== Full Text === <br />
http://archive.bridgesmathart.org/2013/bridges2013-143.pdf<br />
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[[intern file]]<br />
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=== Sonstige Links ===<br />
http://archive.bridgesmathart.org/2013/bridges2013-143.html</div>Gbachelier