| id |
acadia13_447 |
| authors |
Smith, Wesley; Colapinto, Pablo |
| year |
2013 |
| title |
Constructing Morphogenetic Operators with Inversive Geometry |
| doi |
https://doi.org/10.52842/conf.acadia.2013.447
|
| source |
ACADIA 13: Adaptive Architecture [Proceedings of the 33rd Annual Conference of the Association for Computer Aided Design in Architecture (ACADIA) ISBN 978-1-926724-22-5] Cambridge 24-26 October, 2013), pp. 447-448 |
| summary |
We aim to expand the toolset of geometric operations available in computer modeling programs. Our work introduces novel techniques for the development of surface topologies inspired by deformations of biological membranes. Using examples from morphogenetic mechanisms, we model continuous changes in curvature and genus through innovative use of inversive geometry. |
| keywords |
inversive geometry, conformal geometry, geometric algebra, morphogenesis, surface topology |
| series |
ACADIA |
| type |
Research Poster |
| email |
|
| full text |
 file.pdf (436,329 bytes) |
| references |
Content-type: text/plain
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Colapinto, Pablo (2012)
 Boosted Surfaces: Synthesis of 3D Meshes using Point Pair Genera- tors in the Conformal Model
, Proceedings of the 5th Conference of Applications of Geometric Algebra in Computer Science and Engineering. La Rochelle, France
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Davies, Jamie A. (2005)
Mechanisms of Morphogenesis: The Creation of Biological Form
, London: Elsevier Academic Press
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, Guide to Geometric Algebra in Practice, edited by L. Dorst and J. Lasenby, 25-46. London: Springer
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Dorst, Leo, Fontijne, Daniel, and Mann, Stephen (2007)
Geometric Algebra for Computer Science
, San Francisco: Morgan Kaufmann
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Hestenes, David (1986)
New Foundations for Classical Mechanics
, Dordrecht, Holland: D. Reidel Publishing Company
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Li, Hongbo, Hestenes, David, and Rockwood, Alan (2001)
Generalized Homogeneous Coordinates for Computational Geometry
, Geometric Computing with Clifford Algebra, edited by G. Sommer, 25-58. Berlin: Springer-Verlag
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Marchisotto, E.A., and J.T. Smith (2007)
The Legacy of Mario Pieri in Geometry and Arithmetic
, Boston: Birkhauser
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| last changed |
2022/06/07 07:56 |
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