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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 |
Caratelli, D.; Gielis, J.; Tavkhelidze, I.; Ricci, P.E. |
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Title |
Spherical harmonic solution of the Robin problem for the Helmholtz equation in a supershaped shell |
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A1 Journal article |
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Year |
2013 |
Publication |
Applied mathematics |
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Volume |
4 |
Issue |
1a |
Pages |
263-270 |
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Keywords |
A1 Journal article; Engineering sciences. Technology; Sustainable Energy, Air and Water Technology (DuEL) |
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Abstract |
The Robin problem for the Helmholtz equation in normal-polar shells is addressed by using a suitable spherical harmonic expansion technique. Attention is in particular focused on the wide class of domains whose boundaries are defined by a generalized version of the so-called superformula introduced by Gielis. A dedicated numerical procedure based on the computer algebra system Mathematica? is developed in order to validate the proposed methodology. In this way, highly accurate approximations of the solution, featuring properties similar to the classical ones, are obtained. |
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2013-01-30 |
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2152-7385 |
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Call Number |
UA @ admin @ c:irua:107177 |
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8576 |
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Author |
Tavkhelidze, I.; Gielis, J. |
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Title |
Structure of the dm knives and process of cutting of GML(man) or GRT(man) bodies |
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A3 Journal article |
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Year |
2019 |
Publication |
Sn – 1512-0066 |
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33 |
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A3 Journal article; Engineering sciences. Technology; Sustainable Energy, Air and Water Technology (DuEL) |
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UA @ admin @ c:irua:164897 |
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8588 |
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Author |
Gielis, J. |
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Title |
Temperate bamboos in ornamental horticulture: differentiators and spillover effects into the 21st century |
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H3 Book chapter |
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2012 |
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603-623
T2 - Proceedings of the 9th World Bamboo C |
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H3 Book chapter; 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:97755 |
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8644 |
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Author |
Caratelli, D.; Gielis, J.; Natalini, P.; Ricci, P.E.; Tavkhelidze, I. |
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Title |
The Robin problem for the Helmholtz equation in a starlike planar domain |
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A1 Journal article |
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Year |
2011 |
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Georgian mathematical journal |
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18 |
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3 |
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465-479 |
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Keywords |
A1 Journal article; Sustainable Energy, Air and Water Technology (DuEL) |
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Abstract |
The interior and exterior Robin problems for the Helmholtz equation in starlike planar domains are addressed by using a suitable Fourier-like technique. Attention is in particular focused on normal-polar domains whose boundaries are defined by the so-called superformula introduced by J. Gielis. A dedicated numerical procedure based on the computer algebra system Mathematica© is developed in order to validate the proposed approach. In this way, highly accurate approximations of the solution, featuring properties similar to the classical ones, are obtained. The computed results are found to be in good agreement with the theoretical findings on Fourier series expansion presented by L. Carleson. |
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000296166100004 |
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2021-02-28 |
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1072-947x |
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UA library record; WoS full record; WoS citing articles |
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Call Number |
UA @ admin @ c:irua:91086 |
Serial |
8658 |
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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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Year |
2016 |
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Keywords |
P3 Proceeding; Engineering sciences. Technology; Sustainable Energy, Air and Water Technology (DuEL) |
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Call Number |
UA @ admin @ c:irua:144548 |
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8677 |
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Author |
Gielis, J.; Caratelli, D.; Fougerolle, Y.; Ricci, P.E.; Tavkelidze, I.; Gerats, T. |
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Title |
Universal natural shapes : from unifying shape description to simple methods for shape analysis and boundary value problems |
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A1 Journal article |
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Year |
2012 |
Publication |
PLoS ONE |
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7 |
Issue |
9 |
Pages |
e29324-11 |
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Keywords |
A1 Journal article; Engineering sciences. Technology; Sustainable Energy, Air and Water Technology (DuEL) |
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Abstract |
Gielis curves and surfaces can describe a wide range of natural shapes and they have been used in various studies in biology and physics as descriptive tool. This has stimulated the generalization of widely used computational methods. Here we show that proper normalization of the Levenberg-Marquardt algorithm allows for efficient and robust reconstruction of Gielis curves, including self-intersecting and asymmetric curves, without increasing the overall complexity of the algorithm. Then, we show how complex curves of k-type can be constructed and how solutions to the Dirichlet problem for the Laplace equation on these complex domains can be derived using a semi-Fourier method. In all three methods, descriptive and computational power and efficiency is obtained in a surprisingly simple way. |
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Wos |
000309517500001 |
Publication Date |
2012-09-30 |
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1932-6203 |
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Call Number |
UA @ admin @ c:irua:102202 |
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8711 |
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Author |
Lin, S.; Shao, L.; Hui, C.; Song, Y.; Reddy, G.V.P.; Gielis, J.; Li, F.; Ding, Y.; Wei, Q.; Shi, P.; Reddy, G.V.P. |
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Title |
Why does not the leaf weight-area allometry of bamboos follow the 3/2-power law? |
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A1 Journal article |
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Year |
2018 |
Publication |
Frontiers in plant science |
Abbreviated Journal |
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Volume |
9 |
Issue |
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Pages |
583 |
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Keywords |
A1 Journal article; Engineering sciences. Technology; Sustainable Energy, Air and Water Technology (DuEL) |
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Abstract |
The principle of similarity (Thompson, 1917) states that the weight of an organism follows the 3/2-power law of its surface area and is proportional to its volume on the condition that the density is constant. However, the allometric relationship between leaf weight and leaf area has been reported to greatly deviate from the 3/2-power law, with the irregularity of leaf density largely ignored for explaining this deviation. Here, we choose 11 bamboo species to explore the allometric relationships among leaf area (A), density (ρ), length (L), thickness (T), and weight (W). Because the edge of a bamboo leaf follows a simplified two-parameter Gielis equation, we could show that A ∝ L2 and that A ∝ T2. This then allowed us to derive the density-thickness allometry ρ ∝ Tb and the weight-area allometry W ∝ A(b+3)/2 ≈ A9/8, where b approximates −3/4. Leaf density is strikingly negatively associated with leaf thickness, and it is this inverse relationship that results in the weight-area allometry to deviate from the 3/2-power law. In conclusion, although plants are prone to invest less dry mass and thus produce thinner leaves when the leaf area is sufficient for photosynthesis, such leaf thinning needs to be accompanied with elevated density to ensure structural stability. The findings provide the insights on the evolutionary clue about the biomass investment and output of photosynthetic organs of plants. Because of the importance of leaves, plants could have enhanced the ratio of dry material per unit area of leaf in order to increase the efficiency of photosynthesis, relative the other parts of plants. Although the conclusion is drawn only based on 11 bamboo species, it should also be applicable to the other plants, especially considering previous works on the exponent of the weight-area relationship being less than 3/2 in plants. |
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000431415100001 |
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2018-05-04 |
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ISSN |
1664-462x |
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Call Number |
UA @ admin @ c:irua:150948 |
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8758 |
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