[图书][B] The geometrical beauty of plants
J Gielis - 2017 - Springer
In my study of natural shapes, more specifically of bamboo, I started using the superellipses
and supercircles of Gabriel Lamé around 1994 to study the shape of certain square …
and supercircles of Gabriel Lamé around 1994 to study the shape of certain square …
Computer implemented tool box systems and methods
J Gielis, D Caratelli - US Patent 8,818,771, 2014 - Google Patents
US8818771B2 - Computer implemented tool box systems and methods - Google Patents
US8818771B2 - Computer implemented tool box systems and methods - Google Patents …
US8818771B2 - Computer implemented tool box systems and methods - Google Patents …
Universal natural shapes: From unifying shape description to simple methods for shape analysis and boundary value problems
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 …
used in various studies in biology and physics as descriptive tool. This has stimulated the …
A robust evolutionary algorithm for the recovery of rational Gielis curves
YD Fougerolle, J Gielis, F Truchetet - Pattern recognition, 2013 - Elsevier
Gielis curves (GC) can represent a wide range of shapes and patterns ranging from star
shapes to symmetric and asymmetric polygons, and even self intersecting curves. Such …
shapes to symmetric and asymmetric polygons, and even self intersecting curves. Such …
Potential fields of self intersecting Gielis curves for modeling and generalized blending techniques
Y Fougerolle, F Truchetet, J Gielis - Modeling in Mathematics …, 2017 - Springer
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 …
analysis and the understanding of these representations is of major interest for the analytical …
A biogeometrical model for corolla fusion in asclepiad flowers
The molecular genetics of flower development have been studied extensively for more than
two decades. Fusion of organs and the tendency to oligomery, important characteristics of …
two decades. Fusion of organs and the tendency to oligomery, important characteristics of …
[HTML][HTML] From Superellipses to Superformula and Technology
B Beirinckx - … Symposium on Square Bamboos and the …, 2023 - athena-publishing.com
In 1997, the Superformula was developed as a generalization of superellipses and
supercircles. An overview is given of the various developments that led to this generalization …
supercircles. An overview is given of the various developments that led to this generalization …
[PDF][PDF] GIELIS Transformations and their impact on science and technology
F Gielis - 2021 - researchgate.net
The paper A generic geometric transformation that unifies a wide range of natural and
abstract shapes [1] introduced the Superformula, a generalization of circles and the …
abstract shapes [1] introduced the Superformula, a generalization of circles and the …
The geometry of universal natural shapes
J Gielis - Biological Shape Analysis, 2011 - World Scientific
The description of natural shapes and the study of their development is based on our human
perception and consequently the study of science is based on the notion of isotropy. The …
perception and consequently the study of science is based on the notion of isotropy. The …
[PDF][PDF] Universal Natural Shapes: From Unifying Shape Description to Simple Methods for
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 …
used in various studies in biology and physics as descriptive tool. This has stimulated the …