Single-View 3D Reconstruction of Curves

被引：0

作者：

Fakih, Ali ^{[1
]}

Wilser, Nicola ^{[1
]}

Maillot, Yvan ^{[1
]}

Cordier, Frederic ^{[1
]}

机构：

[1] Univ Haute Alsace, Mulhouse, France

来源：

ADVANCES IN COMPUTER GRAPHICS, CGI 2023, PT II | 2024年 / 14496卷

关键词：

3D Reconstruction; Curve; Osculating circles;

D O I：

10.1007/978-3-031-50072-5_1

中图分类号：

TP18 [人工智能理论];

学科分类号：

081104 ; 0812 ; 0835 ; 1405 ;

摘要：

This paper describes a method to generate a 3D curve from a planar polygonal curve. One application of such method is the modeling of trajectories of moving objects in 3D using sketches. Given a planar polygonal curve C2D, our algorithm computes a 3D curve C3D such that its orthogonal projection matches the input curve. The algorithm aims at minimizing the variation of the curvature along the reconstructed curve. The driving idea is to fit a set of ellipses to the input curve; these ellipses enable us to determine the osculating circles and thus the tangent at every point of the curve to reconstruct in 3D. The reconstruction of 3D curve using these tangents is then straightforward. The method is demonstrated with several examples.

引用

页码：3 / 14

页数：12

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