Reconstruction of helices from their orthogonal projection

被引：5

作者：

Cordier, Frederic ^{[1
,2
]}

Melkemi, Mahmoud ^{[1
]}

Seo, Hyewon ^{[2
]}

机构：

[1] Univ Haute Alsace, LMIA, EA 3993, 12 Rue Freres Lumiere, F-68093 Mulhouse, France

[2] Univ Strasbourg, ICube, UMR CNRS 7357, BP 10413,Bd Sebastien Brant, F-67412 Illkirch Graffenstaden, France

来源：

COMPUTER AIDED GEOMETRIC DESIGN | 2016年 / 46卷

关键词：

Helix; 3D reconstruction; TOTAL LEAST-SQUARES; LINE-DRAWINGS; SKETCHES; CURVES;

D O I：

10.1016/j.cagd.2016.04.004

中图分类号：

TP31 [计算机软件];

学科分类号：

081202 ; 0835 ;

摘要：

We describe a method for modeling helices from planar curves. Given a polygonal curve in the (x, y) plane, the method computes a helix such that its orthogonal projection onto the (x, y) plane fits the polygonal curve. The helix curve is first sampled and the transformation matrix that best aligns points of the sampled helix to those of the polygonal curve is calculated. This transformation matrix is then used to estimate the parameters of the helix whose projection fits the polygonal curve. (C) 2016 Elsevier B.V. All rights reserved.

引用

页码：1 / 15

页数：15

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