Ellipse-specific direct least-square fitting

Abstract
This work presents the first direct method for specificallyfitting ellipses in the least squares sense. Previousapproaches used either generic conic fitting or relied oniterative methods to recover elliptic solutions. The proposedmethod is (i) ellipse-specific, (ii) directly solvedby a generalised eigen-system, (iii) has a desirable loweccentricitybias, and (iv) is robust to noise. We providea theoretical demonstration, several examples andthe Matlab coding of the algorithm.

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