Least-Squares Fitting of Two 3-D Point Sets
TL;DR: An algorithm for finding the least-squares solution of R and T, which is based on the singular value decomposition (SVD) of a 3 × 3 matrix, is presented.
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Abstract: Two point sets {pi} and {p'i}; i = 1, 2,..., N are related by p'i = Rpi + T + Ni, where R is a rotation matrix, T a translation vector, and Ni a noise vector. Given {pi} and {p'i}, we present an algorithm for finding the least-squares solution of R and T, which is based on the singular value decomposition (SVD) of a 3 × 3 matrix. This new algorithm is compared to two earlier algorithms with respect to computer time requirements.
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References
Random sample consensus: a paradigm for model fitting with applications to image analysis and automated cartography
TL;DR: New results are derived on the minimum number of landmarks needed to obtain a solution, and algorithms are presented for computing these minimum-landmark solutions in closed form that provide the basis for an automatic system that can solve the Location Determination Problem under difficult viewing.
Registration of Translated and Rotated Images Using Finite Fourier Transforms
E. De Castro,Carlo Morandi +1 more
TL;DR: This correspondence discusses an extension of the method to cover both translational and rotational movements, characterized by an outstanding robustness against correlated noise and disturbances, such as those encountered with nonuniform, time varying illumination.
824
•Proceedings Article
A 3-D recognition and positioning algorithm using geometrical matching between primitive surfaces
O. D. Faugeras,M. Hebert +1 more
- 08 Aug 1983
TL;DR: An efficient algorithm for 3-0 scene analysis that uses a segmentation of the surfaces to identified into geometrical primitives, the original data being obtained by a laser range finder.
Discretization errors in the Hough transform
T. M. van Veen,Frans C. A. Groen +1 more
TL;DR: The Hough transform was improved by O'Gorman and Clowes by taking into account the gradient direction and the resulting scatter of the peaks can be reduced by using a weighting function in the transform.
200
Applications of Tensor Theory to Object Recognition and Orientation Determination
David Cyganski,John A. Orr +1 more
TL;DR: A method is developed by which images resulting from orthogonal projection of rigid planar-patch objects arbitrarily oriented in three-dimensional (3-D) space may be used to form systems of linear equations which are solved for the affine transform relating the images.
136