A note on the least squares fitting of ellipses

Pattern Recognition Letters

Volumn 14, Issue 10, 1993, Pages 799-808

  Rosin, Paul L ^a  

^a CURTIN UNIVERSITY   (Australia)

Author keywords

curvature bias; Ellipse; least squares fitting; normalisation; singularity; transformational invariance

Indexed keywords

EID: 0001730981     PISSN: 01678655     EISSN: None     Source Type: Journal    
DOI: 10.1016/0167-8655(93)90062-I     Document Type: Article

References (28)

1. Fitting ellipses and general second-order curves
2. Representation of digitised contours in terms of conic arcs and straight-line segments
3. A RANSAC-based approach to model fitting and its applications to finding cylinders in range data
4. Fitting conic sections to scattered data
5. A survey of least square ellipse-fitting algorithms
6. On the cost of approximating and recognizing a noise perturbed straight line or a quadratic curve segment in the plane
7. On the computational cost of approximating and recognizing noise-perturbed straight lines and quadratic arcs in the plane
8. Projectively invariant representations using implicit algebraic curves
9. Determining object orientation using ellipse Fitting
10. Elliptical feature extraction via an improved Hough transform
11. A two-stage method of fitting conic arcs and straight-line segments to digitized contours
12. Detection of an ellipse by use of a recursive least-squares estimator
13. A note on polygonal and elliptical approximation of mechanical parts
14. Edge aggregation and edge description
15. Curve fitting with conic splines
16. Fitting ellipses and predicting confidence envelopes using a bias corrected Kalman filter
17. Recognition of conics in contours using their geometric properties
18. Acquiring information from cues
19. Segmenting curves into elliptic arcs and straight lines
20. Perceptual grouping of circular arcs under projection
21. Accurate parameter estimation of quadratic curves from grey-level images
22. Fitting conic sections to ‘very scattered’ data: an iterative refinement of the Bookstein algorithm
23. Recognition of real-world objects using edge cue
24. Detection of ellipses by a modified Hough transform
25. Fast extraction of ellipses
26. A multistage ellipse and line detection algorithm
27. Model-based 3D object localization and recognition from a single intensity image