A Computational Approach to the Unwrappings of the Developable Surfaces

Dimitrios Kodokostas ()
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Dimitrios Kodokostas: National Technical University of Athens, Department of Applied Mathematics

A chapter in Contributions in Mathematics and Engineering, 2016, pp 343-351 from Springer

Abstract: Abstract We present a closed-formula description for the unwrappings of the developable surfaces based on information obtained mainly by plane intersection curves on them. Among other applications, this description is suitable for computational implementation in CAD systems, for the construction of visual pictures of unwrappings onto planes, and for the computer graphic modeling of the approximations of real-object surfaces via the developable ones.

Keywords: Cartesian Coordinate System; Tangent Plane; Unit Normal Vector; Developable Surface; Unit Tangent Vector (search for similar items in EconPapers)
Date: 2016
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-319-31317-7_17

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DOI: 10.1007/978-3-319-31317-7_17

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