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id ijac201715204
authors Mesnil, Romain; Cyril Douthe, Olivier Baverel and Bruno Léger
year 2017
title Generalised cyclidic nets for shape modelling in architecture
source International Journal of Architectural Computing vol. 15 - no. 2, 148-168
summary The aim of this article is to introduce a bottom-up methodology for the modelling of free-form shapes in architecture that meet fabrication constraints. To this day, two frameworks are commonly used for surface modelling in architecture: non-uniform rational basis spline modelling and mesh-based approaches. The authors propose an alternative framework called generalised cyclidic nets that automatically yield optimal geometrical properties for the envelope and the structural layout, like the covering with planar quadrilaterals or hexagons. This framework uses a base circular mesh and Dupin cyclides, which are natural objects of the geometry of circles in space, also known as Mo?bius geometry. This article illustrates how complex curved shapes can be generated from generalised cyclidic nets. It addresses the extension of cyclidic nets to arbitrary topologies with the implementation of a ‘hole-filling’ strategy and also demonstrates that this framework gives a simple method to generate corrugated shells.
keywords Free-form, conceptual design, structural morphology, architectural geometry, cyclidic net, fabrication-aware design, PQ mesh, corrugated shell
series other
type normal paper
full text file.pdf ( bytes)
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100%; open Bagneris M, Motro R, Maurin B, et al. (2008) Find in CUMINCAD Structural morphology issues in conceptual design of double curved systems , Int J Space Struct 2008; 23(2): 79–87.

100%; open Bo P, Liu Y, Tu C, et al. (2016) Find in CUMINCAD Surface fitting with cyclide splines , Comput Aided Geom D 2016; 43: 2–15.

100%; open Bobenko A and Huhnen-Venedey E. (2012) Find in CUMINCAD Curvature line parametrized surfaces and orthogonal coordinate systems: discretization with Dupin cyclides , Geometriae Dedicata 2012; 159(1): 207–237

100%; open Bobenko A and Schröder P. (2005) Find in CUMINCAD Discrete Willmore flow , Proceedings of the third Eurographics symposium on geometry processing, Vienna, 4–6 July 2005, p. 101. Geneva: Eurographics Association

100%; open Bobenko A, Matthes D and Suris YB. (2003) Find in CUMINCAD Discrete and smooth orthogonal systems: c?-approximation , Int Math Res Notices 2003; 45: 2415–2459

100%; open Bobenko A. (2008) Find in CUMINCAD Surfaces from circles , Bobenko AI, Sullivan JM, Schröder P, et al. (eds) Discrete differential geometry. BerlSpringer, 2008; vol. 38, pp. 3–35.

100%; open Catmull E and Clark J. (1978) Find in CUMINCAD Recursively generated B-spline surfaces on arbitrary topological meshes , Comput Aided Design 1978; 10(6): 350–355

100%; open Deng B, Bouaziz S, Deuss M, et al. (2015) Find in CUMINCAD Interactive design exploration for constrained meshes , Comput Aided Design 2015; 61: 13–23

100%; open Douthe C and Baverel O. (2009) Find in CUMINCAD Design of nexorades or reciprocal frame systems with the dynamic relaxation method , Comput Struct 2009; 87(21–22): 1296–1307.

100%; open Dutta D, Martin RR and Pratt MJ (1993) Find in CUMINCAD Cyclides in surface and solid modeling , IEEE Comput Graph 1993; 13(1): 53–59. 22. Lebée A. From folds to structure: a review. Int J Space Struct 2015; 30(2): 55–74

100%; open Glymph J, Shelden D, Ceccato C, et al. (2004) Find in CUMINCAD A parametric strategy for free-form glass structures using quadrilateral planar facets , Automat Constr 2004; 13(2): 187–202

100%; open Joshi P and Séquin CH. (2007) Find in CUMINCAD Energy minimizers for curvature-based surface functionals , Comput Aided Des Appl 2007; 4(5): 607–617.

100%; open Krasauskas R. (2011) Find in CUMINCAD Circular meshes, cyclide splines and geometric algebra , Proceedings of the algebraic geometry in the sciences, Oslo, 13 January 2011

100%; open Liu Y and Wang W. (2008) Find in CUMINCAD On vertex offsets of polyhedral surfaces , Proceeding of the advances in architectural geometry, TU Wien, Vienna, 13–16 September 2008, pp. 61–64.

100%; open Liu Y, Pottmann H, Wallner J, et al. (2006) Find in CUMINCAD Geometric modeling with conical meshes and developable surfaces , ACM T Graphic 2006; 25(3): 681–689

100%; open McLean D. (1985) Find in CUMINCAD A method of generating surfaces as a composite of cyclide patches , Comput J 1985; 28(4): 433–438

100%; open Mesnil R, Douthe C, Baverel O, et al. (2015) Find in CUMINCAD Isogonal moulding surfaces: a family of shapes for high node congruence in free-form structures , Automat Constr 2015; 59: 38–47

100%; open Mesnil R, Douthe C, Baverel O, et al. (2015) Find in CUMINCAD Möbius geometry and cyclidic nets: a framework for complex shape generation , Proceedings of the IASS: future visions, Amsterdam, 17–20 August

100%; open Mesnil R, Douthe C, Baverel O, et al. (2017) Find in CUMINCAD Linear buckling of quadrangular and kagome gridshells: a comparative assessment , Eng Struct 2017; 132(1): 337–348.

100%; open Mesnil R, Douthe C, Richter C, et al. (2016) Find in CUMINCAD Structural exploration of a fabrication-aware design space with marionette meshes , Proceedings of the IASS annual symposium 2016 – spatial structures in the 21st century, Tokyo, Japan, 26–30 September 2016

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