Three-dimensional object recognition
ACM Computing Surveys (CSUR) - Annals of discrete mathematics, 24
Kalman filtering with real-time applications
Kalman filtering with real-time applications
Dynamic monocular machine vision
Machine Vision and Applications
IEEE Transactions on Pattern Analysis and Machine Intelligence
A note on the least squares fitting of ellipses
Pattern Recognition Letters
A buyer's guide to conic fitting
BMVC '95 Proceedings of the 6th British conference on Machine vision (Vol. 2)
Use of the Hough transformation to detect lines and curves in pictures
Communications of the ACM
IWVF-4 Proceedings of the 4th International Workshop on Visual Form
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The purpose of this paper is to discuss pros and cons of fitting general curves and surfaces to 2D and 3D edge and range data using the Euclidean distance. In the past researchers have used approximate distance functions rather than the Euclidean distance. But the main disadvantage of the Euclidean fitting, computational cost, has become less important due to rising computing speed. Experiments with the real Euclidean distance show the limitations of suggested approximations like the Algebraic distance or Taubin's approximation. We compare the performance of various fitting algorithms in terms of efficiency, correctness, robustness and pose invariance.