An Interactive Computational Design Tool for Large Reciprocal Frame Structures

Peng Song; Chi Wing Fu; Prashant Goswami; Jianmin Zheng; Niloy J. Mitra; Daniel Cohen-Or

doi:10.1007/s00004-014-0173-0

An Interactive Computational Design Tool for Large Reciprocal Frame Structures

Peng Song, Chi Wing Fu, Prashant Goswami, Jianmin Zheng, Niloy J. Mitra, Daniel Cohen-Or

School of Computer Science

Tel Aviv University

Research output: Contribution to journal › Article › peer-review

Abstract

This paper presents the detail of our interactive tool for designing reciprocal frame (RF) structures. In general, our tool addresses the RF design problem with three major steps: (1) it supports the design of RF-tessellation by connecting RF patterns and plane tiling; (2) it delivers interactive preview and exploration of RF designs in 3D space through conformal mapping; and (3) it performs a novel optimization method to arrange the rods in the RF-structures, so that we can ensure rod collinear contacts in the structures. This paper supplements our previous work with implementation details, user interface design and operations, as well as a preliminary study and various new results we devised from the tool.

Original language	English
Pages (from-to)	109-118
Number of pages	10
Journal	Nexus Network Journal
Volume	16
Issue number	1
DOIs	https://doi.org/10.1007/s00004-014-0173-0
State	Published - Apr 2014

Keywords

Algorithms
Automation
Computer technology
Geometric analysis
RF-structures
RF-units
Reciprocal structures
Tessellations
Tilings

All Science Journal Classification (ASJC) codes

Architecture
General Mathematics
Visual Arts and Performing Arts

Access to Document

10.1007/s00004-014-0173-0

Cite this

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title = "An Interactive Computational Design Tool for Large Reciprocal Frame Structures",

abstract = "This paper presents the detail of our interactive tool for designing reciprocal frame (RF) structures. In general, our tool addresses the RF design problem with three major steps: (1) it supports the design of RF-tessellation by connecting RF patterns and plane tiling; (2) it delivers interactive preview and exploration of RF designs in 3D space through conformal mapping; and (3) it performs a novel optimization method to arrange the rods in the RF-structures, so that we can ensure rod collinear contacts in the structures. This paper supplements our previous work with implementation details, user interface design and operations, as well as a preliminary study and various new results we devised from the tool.",

keywords = "Algorithms, Automation, Computer technology, Geometric analysis, RF-structures, RF-units, Reciprocal structures, Tessellations, Tilings",

author = "Peng Song and Fu, {Chi Wing} and Prashant Goswami and Jianmin Zheng and Mitra, {Niloy J.} and Daniel Cohen-Or",

note = "Funding Information: Acknowledgements This work is supported in part by the Singapore MOE Tier-2 grant (MOE2011-T2-2-041), and the Israel Science Foundation. All images/photos are by the authors.",

year = "2014",

month = apr,

doi = "10.1007/s00004-014-0173-0",

language = "الإنجليزيّة",

volume = "16",

pages = "109--118",

journal = "Nexus Network Journal",

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AU - Zheng, Jianmin

AU - Mitra, Niloy J.

AU - Cohen-Or, Daniel

N1 - Funding Information: Acknowledgements This work is supported in part by the Singapore MOE Tier-2 grant (MOE2011-T2-2-041), and the Israel Science Foundation. All images/photos are by the authors.

PY - 2014/4

Y1 - 2014/4

N2 - This paper presents the detail of our interactive tool for designing reciprocal frame (RF) structures. In general, our tool addresses the RF design problem with three major steps: (1) it supports the design of RF-tessellation by connecting RF patterns and plane tiling; (2) it delivers interactive preview and exploration of RF designs in 3D space through conformal mapping; and (3) it performs a novel optimization method to arrange the rods in the RF-structures, so that we can ensure rod collinear contacts in the structures. This paper supplements our previous work with implementation details, user interface design and operations, as well as a preliminary study and various new results we devised from the tool.

AB - This paper presents the detail of our interactive tool for designing reciprocal frame (RF) structures. In general, our tool addresses the RF design problem with three major steps: (1) it supports the design of RF-tessellation by connecting RF patterns and plane tiling; (2) it delivers interactive preview and exploration of RF designs in 3D space through conformal mapping; and (3) it performs a novel optimization method to arrange the rods in the RF-structures, so that we can ensure rod collinear contacts in the structures. This paper supplements our previous work with implementation details, user interface design and operations, as well as a preliminary study and various new results we devised from the tool.

KW - Algorithms

KW - Automation

KW - Computer technology

KW - Geometric analysis

KW - RF-structures

KW - RF-units

KW - Reciprocal structures

KW - Tessellations

KW - Tilings

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DO - 10.1007/s00004-014-0173-0

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SN - 1590-5896

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EP - 118

JO - Nexus Network Journal

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An Interactive Computational Design Tool for Large Reciprocal Frame Structures

Abstract

Keywords

All Science Journal Classification (ASJC) codes

Access to Document

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