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A generalized log aesthetic space curve

Published: 08 March 2012 Publication History

Abstract

A space curve called the Generalized Log Aesthetic Space Curve (GLASC) has been introduced in this paper. The flexibility of GLASC can be utilised to satisfy extra constraints during the design process. The GLASC is an extension of the Generalized Log Aesthetic Curve (GLAC) and Log Aesthetic Curve (LAC). There are two approaches to formulate GLASC; μ-shift and τ-shift. Final result concurs that GLASC has two extra degree of freedoms (DoF) compared to LAC Space Curve (LASC).

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cover image ACM Other conferences
HCCE '12: Proceedings of the 2012 Joint International Conference on Human-Centered Computer Environments
March 2012
277 pages
ISBN:9781450311915
DOI:10.1145/2160749
Permission to make digital or hard copies of all or part of this work for personal or classroom use is granted without fee provided that copies are not made or distributed for profit or commercial advantage and that copies bear this notice and the full citation on the first page. Copyrights for components of this work owned by others than ACM must be honored. Abstracting with credit is permitted. To copy otherwise, or republish, to post on servers or to redistribute to lists, requires prior specific permission and/or a fee. Request permissions from [email protected]

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  • Shizuoka University in Hamamatsu: Shizuoka University in Hamamatsu
  • University of Aizu: University of Aizu

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Association for Computing Machinery

New York, NY, United States

Publication History

Published: 08 March 2012

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Author Tags

  1. computer-aided geometric design
  2. generalized log aesthetic curve
  3. high quality curves
  4. log aesthetic curve
  5. space curves

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  • Research-article

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HCCE '12
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  • Shizuoka University in Hamamatsu
  • University of Aizu

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HCCE '12 Paper Acceptance Rate 48 of 81 submissions, 59%;
Overall Acceptance Rate 48 of 81 submissions, 59%

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  • (2024) α-CurvesComputers and Graphics10.1016/j.cag.2023.11.006118:C(60-70)Online publication date: 1-Feb-2024
  • (2017)The offsets of generalized Log-aesthetic curves10.1063/1.4995910(040078)Online publication date: 2017
  • (2014)Aesthetic Curves and Surfaces in Computer Aided Geometric DesignInternational Journal of Automation Technology10.20965/ijat.2014.p03048:3(304-316)Online publication date: 5-May-2014
  • (2014)Generation of Log-aesthetic curves using adaptive Runge-Kutta methodsApplied Mathematics and Computation10.1016/j.amc.2014.08.032246:C(257-262)Online publication date: 1-Nov-2014

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