3D reconstruction of free-formed line-like objects using NURBS representation

✍ Scribed by Mingyue Ding; Yijun Xiao; Jiaxiong Peng; Dirk Schomburg; Bjoern Krebs; Friedrch M. Wahl

• Publisher: Elsevier Science
• Year: 2003
• Tongue: English
• Weight: 398 KB
• Volume: 36
• Category: Article
• ISSN: 0031-3203
• DOI: 10.1016/s0031-3203(02)00095-x

✦ Synopsis

3D reconstruction of arbitrary free-formed objects is an important and challenging problem in computer vision. In this paper, we ÿrst discuss the importance of primitive selection in 3D reconstruction. Subsequently, a theorem, which reveals the perspective invariance of NURBS, is shown, making it a good choice as primitive in 3D reconstruction. Consequently, based on this theorem a new paradigm of free-formed line-like object reconstruction using NURBS as primitives is proposed. Furthermore, an approach for determining weights for 3D NURBS is presented, and the width e ect of curved line-like objects is analyzed. Finally, experiments with line-like objects and machine part demonstrate the feasibility of our approach and prove the superiority of our approach over the point-or segment-based approaches as well as the B-spline-based reconstruction approach in terms of robustness and accuracy.