CumInCAD is a Cumulative Index about publications in Computer Aided Architectural Design
supported by the sibling associations ACADIA, CAADRIA, eCAADe, SIGraDi, ASCAAD and CAAD futures

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 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
full text file.pdf (436,329 bytes)
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100%; open Colapinto, Pablo (2012) Find in CUMINCAD 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
100%; open Davies, Jamie A. (2005) Find in CUMINCAD Mechanisms of Morphogenesis: The Creation of Biological Form , London: Elsevier Academic Press
100%; open Dorst, Leo and Valkenburg, Robert (2011) Find in CUMINCAD 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, 25-46. London: Springer
100%; open Dorst, Leo, Fontijne, Daniel, and Mann, Stephen (2007) Find in CUMINCAD Geometric Algebra for Computer Science , San Francisco: Morgan Kaufmann
100%; open Hestenes, David (1986) Find in CUMINCAD New Foundations for Classical Mechanics , Dordrecht, Holland: D. Reidel Publishing Company
100%; open Li, Hongbo, Hestenes, David, and Rockwood, Alan (2001) Find in CUMINCAD Generalized Homogeneous Coordinates for Computational Geometry , Geometric Computing with Clifford Algebra, edited by G. Sommer, 25-58. Berlin: Springer-Verlag
100%; open Marchisotto, E.A., and J.T. Smith (2007) Find in CUMINCAD The Legacy of Mario Pieri in Geometry and Arithmetic , Boston: Birkhauser

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