Planar Development of Free-Form Surfaces: Quality Evaluation and Visual Inspection

Phillip N. Azariadis () and Nickolas S. Sapidis ()
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Phillip N. Azariadis: University of the Aegean, Department of Product & Systems Design Engineering
Nickolas S. Sapidis: University of the Aegean, Department of Product & Systems Design Engineering

A chapter in Geometric Modelling, 2004, pp 13-27 from Springer

Abstract: Abstract Surface flattening is a crucial problem for many applications as indicated by the steady flow of new methods appearing in related publications. Quality control of these methods, by means of “accuracy criteria” independent of particular flattening methodologies, has not been addressed yet by researchers. This is exactly the subject of this paper: a detailed analysis of flattening is presented leading to geometric and physics-based criteria. These are implemented in intuitively-acceptable visualization techniques, which are applied to practical examples.

Keywords: Planar developments; parameterizations; flattening accuracy; digital surfaces; isometry; isometric mapping; shape deformation; triangle-based surface representation; physics-based criteria; graphics-based methods; 68U05; 68U07; 68U20; 65D17; 65D18 (search for similar items in EconPapers)
Date: 2004
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-7091-0587-0_2

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DOI: 10.1007/978-3-7091-0587-0_2

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