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Reconstruction of quasi developable surfaces from ribbon curves

Abstract : This 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.
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https://hal.archives-ouvertes.fr/hal-00985177
Contributor : Luc Biard <>
Submitted on : Tuesday, April 29, 2014 - 12:28:42 PM
Last modification on : Thursday, November 19, 2020 - 1:01:02 PM

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Mathieu Huard, Nathalie Sprynski, Nicolas Szafran, Luc Biard. Reconstruction of quasi developable surfaces from ribbon curves. Numerical Algorithms, Springer Verlag, 2013, 63 (3), pp.483-506. ⟨10.1007/s11075-012-9633-3⟩. ⟨hal-00985177⟩

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