Curvature-Controlled Aesthetic Curves Using Magnetic Fields

Aus de_evolutionary_art_org
Wechseln zu: Navigation, Suche


Ling Xu, David Mould: Magnetic Curves: Curvature-Controlled Aesthetic Curves Using Magnetic Fields. In: Oliver Deussen, Peter Hall (Eds.): Eurographics Workshop on Computational Aesthetics, 2009. 1-80



We describe 'magnetic curves', a particle-tracing method that creates curves with constantly changing curvature. It is well known that charged particles in a constant magnetic field trace out circular or helical trajectories. Motivated by John Ruskin's advice to use variation in curvature to achieve aesthetic curves, we propose to continuously change the charge on a simulated particle so that it can trace out a complex curve with continuously varying curvature. We show some examples of abstract figures created by this method and also show how some stylized representational forms, including fire, hair, and trees, can be drawn with magnetic curves.

Extended Abstract


author = {Xu, Ling and Mould, David},
title = {Magnetic Curves: Curvature-controlled Aesthetic Curves Using Magnetic Fields},
booktitle = {Proceedings of the Fifth Eurographics Conference on Computational Aesthetics in Graphics, Visualization and Imaging},
series = {Computational Aesthetics'09},
year = {2009},
isbn = {978-3-905674-17-0},
location = {Victoria, British Columbia, Canada},
pages = {1--8},
numpages = {8},
url = {, },
doi = {10.2312/COMPAESTH/COMPAESTH09/001-008},
acmid = {2381288},
publisher = {Eurographics Association},
address = {Aire-la-Ville, Switzerland, Switzerland},

Used References

Cassidy J. Curtis, Loose and sketchy animation, ACM SIGGRAPH 98 Electronic art and animation catalog, p.145, July 19-24, 1998, Orlando, Florida, USA

DIETRICH F.: Visual intelligence: The first decade of computer art (1965-1975). Leonardo 19, 2 (1986), 159-169.

James D. Foley , Andries van Dam , Steven K. Feiner , John F. Hughes, Computer graphics: principles and practice (2nd ed.), Addison-Wesley Longman Publishing Co., Inc., Boston, MA, 1990

Franz Gruber , Georg Glaeser, Magnetism and minimal surfaces: a different tool for surface design, Proceedings of the Third Eurographics conference on Computational Aesthetics in Graphics, Visualization and Imaging, June 20-22, 2007, Alberta, Canada

HOFSTATTER H. H.: Art Nouveau: Prints, Illustrations And Posters. Greenwich House, 1984.

Matthew Kaplan , Elaine Cohen, Computer generated Celtic design, Proceedings of the 14th Eurographics workshop on Rendering, June 25-27, 2003, Leuven, Belgium

LOBKOWICZ F., MELISSINOS A. C.: Physics for Scientists and Engineers. W.B. Saunders, 1975.

MEZEI L.: SPARTA: A procedure oriented programming language for the manipulation of arbitrary line drawings. In Proceedings of IFIP 69 (1969), pp. 567- 604.

Boris Neubert , Thomas Franken , Oliver Deussen, Approximate image-based tree-modeling using particle flows, ACM Transactions on Graphics (TOG), v.26 n.3, July 2007

Alexandrina Orzan , Adrien Bousseau , Holger Winnemöller , Pascal Barla , Joëlle Thollot , David Salesin, Diffusion curves: a vector representation for smooth-shaded images, ACM SIGGRAPH 2008 papers, August 11-15, 2008, Los Angeles, California

William T. Reeves , Ricki Blau, Approximate and probabilistic algorithms for shading and rendering structured particle systems, ACM SIGGRAPH Computer Graphics, v.19 n.3, p.313-322, Jul. 1985

RUSKIN J.: The Elements of Drawing. Dover Publications, 1971.

Thomas Strothotte , Stefan Schlechtweg, Non-photorealistic computer graphics: modeling, rendering, and animation, Morgan Kaufmann Publishers Inc., San Francisco, CA, 2002

Michael T. Wong , Douglas E. Zongker , David H. Salesin, Computer-generated floral ornament, Proceedings of the 25th annual conference on Computer graphics and interactive techniques, p.423-434, July 1998


Full Text

intern file

Sonstige Links