Yong-Qing Cheng, Robert T. Collins, Allen R. Hanson, and Edward M. Riseman,
Triangulation without Correspondences,"
Arpa Image Understanding Workshop,
Monterey, CA, November 1994, pp. 993-1000.
Abstract
This paper present two different algorithms for reconstructing
3D points from two sets of noisy 2D points without knowing point
correspondences, given the corresponding poses from the two images.
We first present a new way to form a 2D similarity function between
two points from two images via 3D pseudo-intersection. Based on
principles of proximity and exclusion, the first algorithm uses
a new affinity measure between 2D image points from two different
images to establish image point correspondences and recover their
corresponding 3D points simultaneously. Based on an optimal
graph theoretic approach, the second algrotihm uses the similarity
function to construct a bipartite graph, builds a corresponding flow
network, and finally finds a maximum network flow that determines the
correspondences between two images. The two proposed algorithms
have been applied to aerial images from the ARPA RADIUS project.
Experimental results have shown that the proposed algorithms
are robust.
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