id 
acadia13_447 
authors 
Smith, Wesley; Colapinto, Pablo 
year 
2013 
title 
Constructing Morphogenetic Operators with Inversive Geometry 
source 
ACADIA 13: Adaptive Architecture [Proceedings of the 33rd Annual Conference of the Association for Computer Aided Design in Architecture (ACADIA) ISBN 9781926724225] Cambridge 2426 October, 2013), pp. 447448 
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 
wesley.hoke@gmail.com 
full text 
file.pdf (436,329 bytes) 
references 
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citation 
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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



Davies, Jamie A. (2005)
Mechanisms of Morphogenesis: The Creation of Biological Form
, London: Elsevier Academic Press



Dorst, Leo and Valkenburg, Robert (2011)
Square Root and Logarithm of Rotors in 3D Conformal Geometric Algebra using Polar Decomposition
, Guide to Geometric Algebra in Practice, edited by L. Dorst and J. Lasenby, 2546. London: Springer



Dorst, Leo, Fontijne, Daniel, and Mann, Stephen (2007)
Geometric Algebra for Computer Science
, San Francisco: Morgan Kaufmann



Hestenes, David (1986)
New Foundations for Classical Mechanics
, Dordrecht, Holland: D. Reidel Publishing Company



Li, Hongbo, Hestenes, David, and Rockwood, Alan (2001)
Generalized Homogeneous Coordinates for Computational Geometry
, Geometric Computing with Clifford Algebra, edited by G. Sommer, 2558. Berlin: SpringerVerlag



Marchisotto, E.A., and J.T. Smith (2007)
The Legacy of Mario Pieri in Geometry and Arithmetic
, Boston: Birkhauser



last changed 
2013/12/16 08:04 
