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Reconstruction of quasi developable surfaces from ribbon curves

By Mathieu Huard, Nathalie Sprynski, Nicolas Szafran and Luc Biard

Abstract

International audienceThis paper deals with the acquisition and reconstruction of physical surfaces by mean of a ribbon device equipped with micro-sensors, providing geodesic curves running on the surface. The whole process involves the reconstruction of these 3D ribbon curves together with their global treatment so as to produce a consistent network for the geodesic surface interpolation by filling methods based on triangular Coons-like approaches. However, the ribbon curves follow their own way, subdividing thus the surface into arbitrary n-sided patches. We present here a method for the reconstruction of quasi developable surfaces from such n-sided curvilinear boundary curves acquired with the ribbon device

Topics: Geodesic curve, Hermite interpolation, Coons filling methods, Developable and quasi developable surfaces, Capture and reconstruction of surfaces, [MATH.MATH-DG]Mathematics [math]/Differential Geometry [math.DG]
Publisher: 'Springer Science and Business Media LLC'
Year: 2013
DOI identifier: 10.1007/s11075-012-9633-3
OAI identifier: oai:HAL:hal-00985177v1
Provided by: HAL-CEA
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