Approaching an Approximation of Freeform Surfaces by Developable Strips using Apparent Contours
Inhaltsverzeichnis
Reference
Francisco González-Quintial, Antonio Sánchez-Parandiet and Javier Barrallo: Approaching an Approximation of Freeform Surfaces by Developable Strips using Apparent Contours. In: Bridges 2013. Pages 127–134
DOI
Abstract
The construction of free-form surfaces is limited to what is possible by graphical and constructive control. Over a few years we have seen an important development in the control of form through graphic digital technology: software and hardware that has allowed truly spectacular constructions.
An important line of research, not only in architecture but also in engineering, even sculpture, has been the adaptation of free forms by developable surfaces using different systems, many of them based on differential geometry.
Re-interpreting some methods of projective geometry that allow the use of certain CAD software, and jumping from physical to digital drawing systems, a method has been developed that allows the adaptation of free forms by developable surfaces using the apparent contours that we can draw over these free form surfaces. By using them we can construct two types of developable surfaces (cones and cylinders) that touch the surface tangentially to the contours.
Extended Abstract
Bibtex
Used References
[1] GLYMPH, Glymph, J. Shelden, D. Ceccato, C. Mussela, J. Schoberb, H.: A Parametric Strategy for Free-Form Glass Structures using Quadrilateral Planar Facets. In: Proceedings of the 2002 Annual Conference of the Association for Computer Aided Design In Architecture / Pomona (California) (2002)
[2] Shelden, D. Digital Surface Representation and the Constructability of Gehry's Architecture.: Thesis Ph.D. Massachusetts Institute of Technology. Dept. of Architecture. (2002)
[3] Pottmann, H. Asperl A., Hofer M., Kilian A.: Architectural Geometry. Bentley I. Press. Exton (2007)
[4] Koman, I.: http://www.koman.org/
[5] Rhinoceros. NURBs modeling for Windows. http://www.es.rhino3d.com/
[6] Grasshopper. Generative modeling for Rhino. http://www.grasshopper3d.com/
Links
Full Text
http://archive.bridgesmathart.org/2013/bridges2013-127.pdf
