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Technical Note—Least-Squares Image Registration

Karel Zikan

ORSA Journal on Computing · 1991 · Volume 3 · Issue 2

DOI: 10.1287/ijoc.3.2.169

Abstract

Two-dimensional image registration estimates how one set of k 2-dimensional points is rotated, scaled, and translated into a second set of 2-dimensional points. We give an exact algorithm to solve the “least-squares” formulation of the problem. On average, the algorithm requires k 2 pivots; it can be viewed as a refinement of the O ( k 3 ) approximation method proposed by K. Zikan and T. M. Silberberg. The approach can be extended to the registration of images of different cardinalities. INFORMS Journal on Computing , ISSN 1091-9856, was published as ORSA Journal on Computing from 1989 to 1995 under ISSN 0899-1499.

Keywords

computer science, networks: matchings, programming: linear: parametric, computer vision, image registration, generalized spatial point matchings

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