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Ellipse Fitting with Hyperaccuracy

2020-03-27 | |  80 |   47 |   0

Abstract

For fitting an ellipse to a point sequence, ML (maximum likelihood) has been regarded as having the highest accuracy. In this pa- per, we demonstrate the existence of a “hyperaccurate” method which outperforms ML. This is made possible by error analysis of ML followed by subtraction of high-order bias terms. Since ML nearly achieves the theoretical accuracy bound (the KCR lower bound), the resulting im- provement is very small. Nevertheless, our analysis has theoretical sig- nificance, illuminating the relationship between ML and the KCR lower bound.

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