Based on ‘Interactive 3D Scanning Without Tracking’, by M. J. Leotta, A. Vandergon and G. Taubin which appeared in Proceedings of the XX Brazilian Symposium on Computer Graphics and Image Processing (SIBGRAPI)
3D Slit Scanning with Planar Constraints†
Article first published online: 10 SEP 2008
DOI: 10.1111/j.1467-8659.2008.01186.x
© 2008 The Authors Journal compilation © 2008 The Eurographics Association and Blackwell Publishing Ltd.
Additional Information
How to Cite
Leotta, M. J., Vandergon, A. and Taubin, G. (2008), 3D Slit Scanning with Planar Constraints. Computer Graphics Forum, 27: 2066–2080. doi: 10.1111/j.1467-8659.2008.01186.x
- †
Publication History
- Issue published online: 21 NOV 2008
- Article first published online: 10 SEP 2008
- Submitted 27 November 2007Revised 19 March 2008Accepted 12 May 2008
- Abstract
- Article
- References
- Cited By
Keywords:
- catadioptric stereo;
- laser;
- planar curves;
- 3D scanning;
- slit scanner
- Categories and subject descriptors: I.4.1 [IMAGE PROCESSING AND COMPUTER VISION]: Digitization and Image Capture – Scanning;
- I.4.8 [IMAGE PROCESSING AND COMPUTER VISION]: Scene Analysis – Shape, Stereo;
- I.3.5 [COMPUTER GRAPHICS]: Computational Geometry and Object Modeling
Abstract
We present a planarity constraint and a novel three-dimensional (3D) point reconstruction algorithm for a multiview laser range slit scanner. The constraint is based on the fact that all observed points on a projected laser line lie on the same plane of laser light in 3D. The parameters of the plane of laser light linearly parametrize a homography between a pair of images of the laser points. This homography can be recovered from point correspondences derived from epipolar geometry. The use of the planar constraint reduces outliers in the reconstruction and allows for the reconstruction of points seen in only one view. We derive an optimal reconstruction of points subject to the planar constraint and compare the accuracy to the suboptimal approach in prior work. We also construct a catadioptric stereo rig with high quality optical components to remove error due to camera synchronization and non-uniform laser projection. The reconstruction results are compared to prior work that uses inexpensive optics and two cameras.

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