Circular arc structures

Bo, Pengbo; Pottmann, Helmut; Kilian, Martin; Wang, Wenping; Wallner, Johannes

doi:10.1145/1964921.1964996

Cited by 28 publications

(81 citation statements)

References 22 publications

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“…A method to fit a freeform shape with a set of single direction bendable panels (like wooden panels) is proposed in . To further improve the smoothness of freeform surfaces in architectural design, [Bo et al 2011] introduced the so-called Circular Arc structures.…”

Section: Accurate Methodsmentioning

confidence: 99%

Field-aligned mesh joinery

et al. 2014

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Mesh joinery is an innovative method to produce illustrative shape approximations suitable for fabrication. Mesh joinery is capable of producing complex fabricable structures in an efficient and visually pleasing manner. We represent an input geometry as a set of planar pieces arranged to compose a rigid structure, by exploiting an efficient slit mechanism. Since slices are planar, to fabricate them a standard 2D cutting system is enough. We automatically arrange slices according to a smooth cross field defined over the surface. Cross fields allow to represent global features that characterize the appearance of the shape. Slice placement conforms to specific manufacturing constraints.

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Section: Accurate Methodsmentioning

confidence: 99%

Field-aligned mesh joinery

et al. 2014

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“…These images show a digital design where the beams meet at right angles and one even has precise offsets for multilayer constructions. This is in contrast to a generic freeform supporting structure from straight beams, where all the geometric complexity enters into the nodes and thus all nodes are different [Bo et al 2011] Fig. 8.…”

Section: Curve Network and Curved Support Structuresmentioning

confidence: 98%

“…If one wants to add to the smoothness and freeformnature of a design and thus use curved beams, one may employ the so-called circular arc structures of Bo et al [2011]; their beams are based on circular arcs and meet in node configurations which are congruent to each other. Repetitive nodes help to lower cost and simplify logistics.…”

Section: Curve Network and Curved Support Structuresmentioning

confidence: 99%

Architectural Geometry and Fabrication-Aware Design

Pottmann

2013

Nexus Netw J

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Abstract. Freeform shapes and structures with a high geometric complexity play an increasingly important role in contemporary architecture. While digital models are easily created, the actual fabrication and construction remains a challenge. This is the source of numerous research problems many of which fall into the area of Geometric Computing and form part of a recently emerging research area, called "Architectural Geometry". The present paper provides a short survey of research in Architectural Geometry and shows how this field moves towards a new direction in Geometric Modeling which aims at combining shape design with important aspects of function and fabrication.

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“…Additional constraints such as torsion-free nodes can be incorporated to improve structural performance and further simplify the fabrication process [Liu et al 2006]. Related examples include rationalization and shape exploration for developable surfaces [Pottmann et al 2008], geodesic patterns , curved panelings [Eigensatz et al 2010], or circular arc structures [Bo et al 2011]. A series of papers exploits geometric abstractions of compression-only surfaces to facilitate the design of self-supporting structures [Vouga et al 2012;Panozzo et al 2013;de Goes et al 2013;Liu et al 2013].…”

Section: Related Workmentioning

confidence: 99%

Wire mesh design

et al. 2014

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Figure 1: Wire mesh design allows creating physical realizations (1 st and 5 th images) of a given design surface (2 nd and 4 th images) composed of interwoven material (middle image) in an interactive, optimization-supported design process. Both the torso and the Igea face are constructed from a single sheet of regular wire mesh. AbstractWe present a computational approach for designing wire meshes, i.e., freeform surfaces composed of woven wires arranged in a regular grid. To facilitate shape exploration, we map material properties of wire meshes to the geometric model of Chebyshev nets. This abstraction is exploited to build an efficient optimization scheme. While the theory of Chebyshev nets suggests a highly constrained design space, we show that allowing controlled deviations from the underlying surface provides a rich shape space for design exploration. Our algorithm balances globally coupled material constraints with aesthetic and geometric design objectives that can be specified by the user in an interactive design session. In addition to sculptural art, wire meshes represent an innovative medium for industrial applications including composite materials and architectural façades. We demonstrate the effectiveness of our approach using a variety of digital and physical prototypes with a level of shape complexity unobtainable using previous methods.

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Circular arc structures

Cited by 28 publications

References 22 publications

Field-aligned mesh joinery

Field-aligned mesh joinery

Architectural Geometry and Fabrication-Aware Design

Wire mesh design

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