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The construction of curved shapes.

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Title: The construction of curved shapes.
Authors: Jowers, Iestyn1 i.jowers@leeds.ac.uk, Earl, Christopher2 c.f.earl@open.ac.uk
Source: Environment & Planning B: Planning & Design. Jan2010, Vol. 37 Issue 1, p42-58. 17p.
Subject Terms: Curves, Computer software, Grammar checkers (Computer software), Embedded computer systems, Algorithms
Abstract: Application of a shape grammar involves the repetitive task of matching and replacing subshapes of a design under transformation, and as such is well suited for computer implementation. As a result, ever since the conception of the shape grammar formalism, efforts have been made to develop computer programs that automate shape grammar applications. Much of this effort has been directed towards the problem of subshape detection, which involves recognising subshapes embedded in a design. Solutions to this problem have been presented for shapes composed of rectilinear geometric elements, such as straight lines, and algorithms based on these solutions have been implemented in a variety of shape grammar interpreters. However, there has been less research concerning the solution of the subshape detection problem for shapes composed of nonrectilinear geometric elements, such as curve segments. In this paper a method of intrinsic matching is presented, which enables comparison of the embedding properties of parametric curves. This method has been employed in order to develop shape algorithms which can be implemented in shape grammar interpreters for shapes composed of parametric curve segments, arranged in two-dimensional or three-dimensional space. [ABSTRACT FROM AUTHOR]
Copyright of Environment & Planning B: Planning & Design is the property of Pion Ltd. and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
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An: 54849112
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  Data: The construction of curved shapes.
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  Data: <searchLink fieldCode="AR" term="%22Jowers%2C+Iestyn%22">Jowers, Iestyn</searchLink><relatesTo>1</relatesTo><i> i.jowers@leeds.ac.uk</i><br /><searchLink fieldCode="AR" term="%22Earl%2C+Christopher%22">Earl, Christopher</searchLink><relatesTo>2</relatesTo><i> c.f.earl@open.ac.uk</i>
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  Data: <searchLink fieldCode="JN" term="%22Environment+%26+Planning+B%3A+Planning+%26+Design%22">Environment & Planning B: Planning & Design</searchLink>. Jan2010, Vol. 37 Issue 1, p42-58. 17p.
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  Data: <searchLink fieldCode="DE" term="%22Curves%22">Curves</searchLink><br /><searchLink fieldCode="DE" term="%22Computer+software%22">Computer software</searchLink><br /><searchLink fieldCode="DE" term="%22Grammar+checkers+%28Computer+software%29%22">Grammar checkers (Computer software)</searchLink><br /><searchLink fieldCode="DE" term="%22Embedded+computer+systems%22">Embedded computer systems</searchLink><br /><searchLink fieldCode="DE" term="%22Algorithms%22">Algorithms</searchLink>
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  Label: Abstract
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  Data: Application of a shape grammar involves the repetitive task of matching and replacing subshapes of a design under transformation, and as such is well suited for computer implementation. As a result, ever since the conception of the shape grammar formalism, efforts have been made to develop computer programs that automate shape grammar applications. Much of this effort has been directed towards the problem of subshape detection, which involves recognising subshapes embedded in a design. Solutions to this problem have been presented for shapes composed of rectilinear geometric elements, such as straight lines, and algorithms based on these solutions have been implemented in a variety of shape grammar interpreters. However, there has been less research concerning the solution of the subshape detection problem for shapes composed of nonrectilinear geometric elements, such as curve segments. In this paper a method of intrinsic matching is presented, which enables comparison of the embedding properties of parametric curves. This method has been employed in order to develop shape algorithms which can be implemented in shape grammar interpreters for shapes composed of parametric curve segments, arranged in two-dimensional or three-dimensional space. [ABSTRACT FROM AUTHOR]
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  Data: <i>Copyright of Environment & Planning B: Planning & Design is the property of Pion Ltd. and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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        Value: 10.1068/b35093
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      – Code: eng
        Text: English
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        PageCount: 17
        StartPage: 42
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      – SubjectFull: Curves
        Type: general
      – SubjectFull: Computer software
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      – SubjectFull: Grammar checkers (Computer software)
        Type: general
      – SubjectFull: Embedded computer systems
        Type: general
      – SubjectFull: Algorithms
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      – TitleFull: The construction of curved shapes.
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              Text: Jan2010
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