Journal ArticleDOI
Estimating motion and structure from correspondences of line segments between two perspective images
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In this paper the author shows that it is possible to recover motion from two views when using line segments, and presents an algorithm for determining 3D motion and structure from correspondences of line segments between two perspective images.Abstract:
Presents an algorithm for determining 3D motion and structure from correspondences of line segments between two perspective images. To the author's knowledge, this paper is the first investigation of use of line segments in motion and structure from motion. Classical methods use their geometric abstraction, namely straight lines, but then three images are necessary for the motion and structure determination process. In this paper the author shows that it is possible to recover motion from two views when using line segments. The assumption used is that two matched line segments contain the projection of a common part of the corresponding line segment in space, i.e., they overlap. Indeed, this is what the author uses to match line segments between different views. This assumption constrains the possible motion between two views to an open set in motion parameter space. A heuristic, consisting of maximizing the overlap, leads to a unique solution. Both synthetic and real data have been used to test the proposed algorithm, and excellent results have been obtained with real data containing a relatively large set of line segments.read more
Citations
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Book
Epipolar Geometry in Stereo, Motion and Object Recognition: A Unified Approach
Gang Xu,Zhengyou Zhang +1 more
TL;DR: Faugeras et al. as discussed by the authors defined stereo, motion and object recognition via Epipolar Geometry via image matching and uncalibrated stereo, and recovered Epipolar geometry from line segments or lines.
Reconstruction of 3D building modelsfrom aerial images and maps
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Proceedings ArticleDOI
Real-time vision-based camera tracking for augmented reality applications
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Journal ArticleDOI
A methodology for precise camera calibration for data collection applications in urban traffic scenes
TL;DR: This study presents the development details of a robust camera calibration approach based on integrating a collection of geometric information found in urban traffic scenes in a consistent optimization framework that was tested on six datasets obtained from urban intersections in British Columbia, California, and Kentucky.
Journal ArticleDOI
The 3D Line Motion Matrix and Alignment of Line Reconstructions
Adrien Bartoli,Peter Sturm +1 more
TL;DR: The 6 × 6 3D line motion matrix that acts on Plücker coordinates is introduced, its algebraic properties are characterized, and various methods for estimating 3D motion from line correspondences are proposed, based on cost functions defined in images or 3D space.
References
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Journal ArticleDOI
A simplex method for function minimization
John A. Nelder,R. Mead +1 more
TL;DR: A method is described for the minimization of a function of n variables, which depends on the comparison of function values at the (n 41) vertices of a general simplex, followed by the replacement of the vertex with the highest value by another point.
Proceedings Article
Three-dimensional computer vision: a geometric viewpoint
TL;DR: Results from constrained optimization some results from algebraic geometry differential geometry are shown.
Journal ArticleDOI
A computer algorithm for reconstructing a scene from two projections
TL;DR: A simple algorithm for computing the three-dimensional structure of a scene from a correlated pair of perspective projections is described here, when the spatial relationship between the two projections is unknown.
Book
The Interpretation of Visual Motion
TL;DR: In this paper, the authors used the methodology of artificial intelligence to investigate the phenomena of visual motion perception: how the visual system constructs descriptions of the environment in terms of objects, their three-dimensional shape, and their motion through space, on the basis of the changing image that reaches the eye.