Reconstruction of quasi developable surfaces from ribbon curves

Reconstruction of quasi developable surfaces from ribbon curves
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从带状曲线重建准可展曲面

DOI:
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发表时间:
2013
影响因子:
2.1
通讯作者:
L. Biard
L. Biard
中科院分区:
数学3区
文献类型:
--
作者:
Mathieu Huard;N. Sprynski;N. Szafran;L. Biard

文献摘要

被引文献

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本文论述了通过一个装有微型传感器的带状装置来获取和重建物理表面,提供在表面上运行的测地线曲线。整个过程涉及这些三维带状曲线的重建,连同他们的整体处理,以便产生一个一致的网络的测地线表面插值的填充方法的基础上三角形Coons的方法。然而,带状曲线遵循它们自己的方式,从而将曲面细分为任意的n边面片。我们在这里提出了一种方法,用于重建准可展曲面从这样的n边曲线的边界曲线与带状设备。
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.