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Author |
Fougerolle, Y.; Truchetet, F.; Gielis, J. |
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Title |
Potential fields of self intersecting Gielis curves for modeling and generalized blending techniques |
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P1 Proceeding |
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Year |
2017 |
Publication |
Modeling In Mathematics |
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Volume |
2 |
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Pages |
67-81
T2 - |
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Keywords  |
P1 Proceeding; Sustainable Energy, Air and Water Technology (DuEL) |
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Abstract |
The definition of Gielis curves allows for the representation of self intersecting curves. The analysis and the understanding of these representations is of major interest for the analytical representation of sectors bounded by multiple subsets of curves (or surfaces), as this occurs for instance in many natural objects. We present a construction scheme based on R-functions to build signed potential fields with guaranteed differential properties, such that their zero-set corresponds to the outer, the inner envelop, or combined subparts of the curve. Our framework is designed to allow for the definition of composed domains built upon Boolean operations between several distinct objects or some subpart of self-intersecting curves, but also provides a representation for soft blending techniques in which the traditional Boolean union and intersection become special cases of linear combinations between the objects' potential fields. Finally, by establishing a connection between R-functions and Lame curves, we can extend the domain of the p parameter within the R-p-function from the set of the even positive numbers to the real numbers strictly greater than 1, i.e. p is an element of]1, +infinity[. |
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000442076400006 |
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2017-04-20 |
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978-94-6239-261-8; 978-94-6239-260-1; 978-94-6239-260-1 |
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UA library record; WoS full record; WoS citing articles |
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no |
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Call Number |
UA @ admin @ c:irua:153801 |
Serial |
8395 |
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Author |
Gielis, J.; Tavkhelidze, I. |
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Title |
A note on Generalized Möbius-Listing Bodies |
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P1 Proceeding |
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Year |
2023 |
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31-39
T2 - Proceedings of the 1st International Sy |
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Keywords |
P1 Proceeding; Sustainable Energy, Air and Water Technology (DuEL) |
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Abstract |
Generalized Möbius-Listing surfaces and bodies generalize Möbius bands, and this research was motivated originally by solutions of boundary value problems. Analogous to cutting of the original Möbius band, for this class of surfaces and bodies, results have been obtained when cutting such bodies or surfaces. In general, cutting leads to interlinked and intertwined different surfaces or bodies, resulting in very complex systems. However, under certain conditions, the result of cutting can be a single surface or body, which reduces complexity considerably. These conditions are based on congruence and rotational symmetry of the resulting cross sections after cutting, and on the knife cutting the origin |
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2023-11-29 |
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978-90-833839-0-3 |
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Most recent IF: NA |
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Call Number |
UA @ admin @ c:irua:201047 |
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9063 |
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Author |
Gielis, J.; Potters, G. |
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Title |
Proceedings of the 9th World Bamboo Congress, Antwerp 2012 |
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P3 Proceeding |
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Year |
2012 |
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P3 Proceeding; Engineering sciences. Technology; Sustainable Energy, Air and Water Technology (DuEL) |
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Call Number |
UA @ admin @ c:irua:97756 |
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8413 |
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Author |
Caratelli, D.; Gielis, J.; Ricci, P.E.; Tavkhelidze, I. |
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Title |
Some properties of “bulky” links, generated by Generalized Möbius Listing's bodies GML4n |
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P3 Proceeding |
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Year |
2013 |
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P3 Proceeding; Engineering sciences. Technology; Sustainable Energy, Air and Water Technology (DuEL) |
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Call Number |
UA @ admin @ c:irua:108672 |
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8555 |
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Author |
Gielis, J.; Ding, Y.; Shi, P. |
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Title |
Towards a geometrical theory of morphology and morphogenesis |
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P3 Proceeding |
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2016 |
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P3 Proceeding; Engineering sciences. Technology; Sustainable Energy, Air and Water Technology (DuEL) |
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no |
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Call Number |
UA @ admin @ c:irua:144548 |
Serial |
8677 |
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Author |
Gielis, J.; Shi, P.; Beirinckx, B.; Caratelli, D.; Ricci, P.E. |
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Title |
Lamé-Gielis curves in biology and geometry |
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P3 Proceeding |
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Year |
2021 |
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P3 Proceeding; Sustainable Energy, Air and Water Technology (DuEL) |
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Most recent IF: NA |
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Call Number |
UA @ admin @ c:irua:178828 |
Serial |
8145 |
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Author |
Gielis, J. |
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Title |
Double helix of phyllotaxis : analysis of the geometric model of plant morphogenesis, by Boris Rozin |
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Review |
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Year |
2021 |
Publication |
Quarterly Review Of Biology |
Abbreviated Journal |
Q Rev Biol |
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96 |
Issue |
2 |
Pages |
139-140 |
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Keywords |
Review; Sustainable Energy, Air and Water Technology (DuEL) |
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2021-05-19 |
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0033-5770; 1539-7718 |
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Impact Factor |
4.25 |
Times cited |
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Open Access |
Not_Open_Access |
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Approved |
Most recent IF: 4.25 |
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Call Number |
UA @ admin @ c:irua:178829 |
Serial |
7824 |
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Author |
Gielis, J. |
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Title |
Fred Van Oystaeyen : Time hybrids: a new generic theory of reality |
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Review |
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Year |
2023 |
Publication |
Symmetry, Culture and Science |
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34 |
Issue |
3 |
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347-351 |
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Review; Sustainable Energy, Air and Water Technology (DuEL) |
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OpenAccess |
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Approved |
Most recent IF: NA |
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Call Number |
UA @ admin @ c:irua:199538 |
Serial |
8871 |
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