M. Berger, A panoramic view of Riemannian geometry, 2003.
DOI : 10.1007/978-3-642-18245-7

V. Arnold, On teaching mathematics Extended text of the address for the discussion on teaching of mathematics in Palais de Découverte in Paris on 7, 1997.

H. Goenner, On the history of the geometrization of space-time: From Minkowski to Finsler geometry. Space and time 100 years after Minkowski, pp.811-4529, 2008.

R. Thom, Structural stability and morphogenesis, Pattern Recognition, vol.8, issue.1, 1972.
DOI : 10.1016/0031-3203(76)90030-3

E. Schrodinger, The general theory of relativity and wave mechanics, Wisen Natuurkundig Tijdschrift Xe Deel: 1ste Aflevering, pp.2-9, 1940.

S. Chern, Back to Riemann In: Mathematics: Frontiers and Perspectives, International Mathematical Union, pp.33-34, 2000.

G. Lamé, Examen des differentes Methodes employees pour resoudre les Problemes de Geometrie, The Mathematical Gazette, vol.3, issue.46, 1818.
DOI : 10.2307/3605169

K. Niklas, Plant Allometry: is there one grand unifying theory? Biological Reviews, pp.871-889, 2004.
DOI : 10.1017/s1464793104006499

J. Gielis, A generic geometric transformation that unifies a wide range of natural and abstract shapes, American Journal of Botany, vol.90, issue.3, pp.333-338, 2003.
DOI : 10.3732/ajb.90.3.333

J. Gielis, S. Haesen, and L. Verstraelen, Universal shapes: from the supereggs of Piet Hein to the cosmic egg of Georges Lema??treLema??tre, Kragujevac Journal of Mathematics, vol.28, pp.55-67, 2005.

G. Loria, Spezielle algebraische und transscendente ebene Kurven: Theorie und Geschichte, 1902.

M. Koiso and B. Palmer, Equilibria for anisotropic energies and the Gielis Formula, Forma (Society for Science on Form, Japan), vol.23, issue.1, pp.1-8, 2008.

D. Thompson and W. , On Growth and Form, 1917.

A. Janner, DNA enclosing forms from scaled growth forms of snow crystals, Crystal Engineering, vol.4, issue.2-3, pp.119-129, 2001.
DOI : 10.1016/S1463-0184(01)00005-3

J. Richardson, RNA backbone: Consensus all-angle conformers and modular string nomenclature (an RNA Ontology Consortium contribution), RNA, vol.14, issue.3, pp.465-481, 2008.
DOI : 10.1261/rna.657708
URL : http://www.ncbi.nlm.nih.gov/pmc/articles/PMC2248255

P. Natalini, R. Patrizi, and P. Ricci, The Dirichlet problem for the Laplace equation in a starlike domain of a Riemann surface. Numer Algor DOI 10, pp.11075-11083, 1007.

D. Caratelli, P. Natalini, P. Ricci, and A. Yarovoy, The Neumann problem for the Helmholtz equation in a starlike planar domain, Applied Mathematics and Computation, vol.216, issue.2, pp.556-564, 2010.
DOI : 10.1016/j.amc.2010.01.077

Y. Fougerolle, A. Gribok, S. Foufou, F. Truchetet, and M. Abidi, Boolean Operations with Implicit and Parametric Representation of Primitives Using R-Functions, IEEE Transactions on Visualization and Computer Graphics, vol.11, issue.5, pp.529-539, 2005.
DOI : 10.1109/TVCG.2005.72
URL : https://hal.archives-ouvertes.fr/hal-00586480

Y. Fougerolle, A. Gribok, S. Foufou, F. Truchetet, and M. Abidi, Supershape Recovery from 3D Data Sets, 2006 International Conference on Image Processing, pp.2193-2196, 2006.
DOI : 10.1109/ICIP.2006.312975
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.117.9761

S. Voisin, M. Abidi, S. Foufou, and F. Truchetet, Genetic algorithms for 3d reconstruction with supershapes, 2009 16th IEEE International Conference on Image Processing (ICIP), pp.529-532, 2009.
DOI : 10.1109/ICIP.2009.5413905
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.392.5360

A. Gross and T. Boult, Error Of Fit Measures For Recovering Parametric Solids, [1988 Proceedings] Second International Conference on Computer Vision, pp.690-694, 1988.
DOI : 10.1109/CCV.1988.590052

Y. Fougerolle, F. Truchetet, and J. Gielis, A new potential function for selfintersecting Gielis curves with rational symmetries, Proceedings of GRAPP 2009 -International Conference on Computer Graphics Theory and Applications -Lisboa, 2009.

A. Biswas and V. Shapiro, Approximate distance fields with non-vanishing gradients, Graphical Models, vol.66, issue.3, pp.133-159, 2004.
DOI : 10.1016/j.gmod.2004.01.003

E. Cervantes, J. Martina, R. Ardanuyb, J. Diego, and A. Tocino, Modeling the Arabidopsis seed shape by a cardioid: Efficacy of the adjustment with a scale change with factor equal to the Golden Ratio and analysis of seed shape in ethylene mutants, Journal of Plant Physiology, vol.167, issue.5, pp.408-410, 2010.
DOI : 10.1016/j.jplph.2009.09.013

J. Gielis and T. Gerats, A botanical perspective on plant shape modeling, Proceedings of International Conference on Computing, Communications and Control Technologies, pp.14-17, 2004.

S. Hadjidemetriou, W. Reichardt, M. Buechert, J. Hennig, V. Elverfeldt et al., Analysis of MR Images of Mice in Preclinical Treatment Monitoring of Polycystic Kidney Disease, pp.665-672, 2009.
DOI : 10.1007/978-3-642-04271-3_81

O. Hamo, G. Nelles, G. Wagenknecht, T. Deserno, H. Handels et al., A design toolbox to generate complex phantoms for the evaluation of medical image processing algorithms Bildverarbeitung für die Medizin, Buchreihe Informatik Aktuell, pp.256-260, 2010.

S. Huclova, D. Erni, and J. Frohlich, Modelling effective dielectric properties of materials containing diverse types of biological cells, Journal of Physics D: Applied Physics, vol.43, issue.36, 2010.
DOI : 10.1088/0022-3727/43/36/365405

T. Faisal, E. Abad, N. Hrisotozv, and D. Pasini, The Impact of Tissue Morphology, Cross-Section and Turgor Pressure on the Mechanical Properties of the Leaf Petiole in Plants, Journal of Bionic Engineering, vol.7, issue.1, pp.11-23, 2010.
DOI : 10.1016/S1672-6529(09)60212-2

S. Vinogradov, E. Vinogradova, C. Wilson, I. Sharp, T. Yu et al., -Polarized Plane Wave by Two-Dimensional Airfoils, Electromagnetics, vol.32, issue.3, pp.268-282, 2009.
DOI : 10.1364/AO.34.002811
URL : https://hal.archives-ouvertes.fr/jpa-00214602

M. Simeoni, R. Cicchetti, A. Yarovoy, and D. Caratelli, Supershaped dielectric Resonator Antenna Antennas and Propagation Society International Symposium APSURSI apos;09, IEEE, issue.5, pp.1-4, 2009.
DOI : 10.1109/tap.2011.2165477

A. Tassadit, D. Macia, J. Sanchez-gil, P. Adam, and R. Rodriguez-oliveros, Metal nanostars: Stochastic optimization of resonant scattering properties, Superlattices and Microstructures, vol.49, issue.3, 2010.
DOI : 10.1016/j.spmi.2010.07.003

A. Janner, Decagrammal symmetry of decagonal Al78Mn22 quasicrystal, Acta Crystallographica Section A Foundations of Crystallography, vol.48, issue.6, pp.884-901, 1992.
DOI : 10.1107/S0108767392005166

A. Janner, Crystallographic structural organization of human rhinovirus serotype 16, 14, 3, 2 and 1A, Acta Crystallographica Section A Foundations of Crystallography, vol.62, issue.4, pp.270-286, 2006.
DOI : 10.1107/S010876730601748X

B. Chen, Total mean curvature and submanifolds and finite type curves, Series in Pure Mathematics, vol.1, 1984.
DOI : 10.1142/0065

L. Verstraelen, Curves and surfaces of finite Chen type. Geometry and Topology of Submanifolds III, World Scientific, pp.304-311, 1991.

F. Round, R. Crawford, and D. Mann, The Diatoms: biology and morphology of the genera, 1990.

J. Gielis, Inventing the Circle Walsby AE (1980) A square bacterium, Nature, vol.283, pp.69-71, 2003.

R. De-craene and L. , Floral Diagrams, 2010.

D. Caratelli, P. Natalini, and P. Ricci, Fourier solution of the wave equation for a star-like-shaped vibrating membrane, Computers & Mathematics with Applications, vol.59, issue.1, pp.176-184, 2010.
DOI : 10.1016/j.camwa.2009.07.060

D. Caratelli, B. Germano, J. Gielis, M. He, P. Natalini et al., Fourier solution of the Dirichlet problem for the Laplace and Helmholtz equations in starlike domains, Lecture Notes of Tbilisi International Centre of Mathematics and Informatics, 2010.

L. Carleson, On convergence and growth of partial sums of Fourier series, Acta Mathematica, vol.116, issue.0, pp.135-157, 1966.
DOI : 10.1007/BF02392815

R. Guitart, Les coordonnées curvilignes de Gabriel Lamé, réprésentations des situation physiques et nouveaux objects mathématiques, Gabriel Lamé: Les pérégrinations d'un ingénieur du XIXe siècle. Actes du Colloque. SABIX Nu44, pp.119-129, 2009.

J. Gielis, D. Caratelli, S. Haesen, and P. Ricci, Rational mechanics and Science Rationelle Unique The Genius of Archimedes: 23 centuries of influence on mathematics, science and engineering, HMMS Series, vol.11, pp.29-43, 2010.

P. Antonelli, R. Ingarden, and M. Matsumoto, The theory of sprays and Finsler spaces with applications in physics and biology, 1993.
DOI : 10.1007/978-94-015-8194-3

S. Haesen and L. Verstraelen, Curvature and Symmetries of Parallel Transport (Chapter 8) and Extrinsic Symmetries of Parallel Transport (Chapter, Differential Geometry and Topology, Discrete and Computational Geometry: Volume 197 NATO Science Series: Computer & Systems Sciences, 2005.

A. Thompson, Minkowski geometry, Encyclopedia of Mathematics and its Applications, 1996.

N. Bera, J. Bhattacharjee, S. Mitra, and S. Khastgir, Energy levels of a particle confined in a supercircular box, The European Physical Journal, vol.46, pp.41-50, 2008.

L. Verstraelen, On Natural Geometric Symmetries Dedicated to the memory of Katsumi Nomizu. Murcia (Spain) Workshop ''Differential Geometry and Submanifolds, 2008.

T. Yajima and Y. Nagahama, Finsler geometry of seismic ray path in anisotropic media, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, vol.8, issue.10, pp.465-1763, 2009.
DOI : 10.1190/1.1442051