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Change article for fitEllipseDirect function
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@ -424,20 +424,11 @@
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publisher = {BMVA Press},
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url = {https://www.researchgate.net/profile/Robert_Fisher5/publication/2237785_A_Buyer's_Guide_to_Conic_Fitting/links/0fcfd50f59aeded518000000/A-Buyers-Guide-to-Conic-Fitting.pdf}
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}
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@article{fitzgibbon1999,
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abstract = {This work presents a new efficient method for fitting ellipses to scattered data. Previous algorithms either fitted general conics or were computationally expensive. By minimizing the algebraic distance subject to the constraint 4ac-b<sup>2</sup>=1, the new method incorporates the ellipticity constraint into the normalization factor. The proposed method combines several advantages: It is ellipse-specific, so that even bad data will always return an ellipse. It can be solved naturally by a generalized eigensystem. It is extremely robust, efficient, and easy to implement},
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author = {Fitzgibbon, Andrew and Pilu, Maurizio and Fisher, Robert B.},
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doi = {10.1109/34.765658},
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isbn = {0162-8828},
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issn = {01628828},
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journal = {IEEE Transactions on Pattern Analysis and Machine Intelligence},
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number = {5},
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pages = {476--480},
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pmid = {708},
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title = {Direct least square fitting of ellipses},
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volume = {21},
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year = {1999},
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url = {https://pdfs.semanticscholar.org/090d/25f94cb021bdd3400a2f547f989a6a5e07ec.pdf}
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@inproceedings{oy1998NumericallySD,
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title = {Numerically Stable Direct Least Squares Fitting of Ellipses},
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author = {Radim Hal oy and Jan Flusser},
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year = {1998},
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url = {https://www.semanticscholar.org/paper/Numerically-Stable-Direct-Least-Squares-Fitting-of-oy-Flusser/9a8607575ba9c6016e9f3db5e52f5ed4d14d5dfd}
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}
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@article{Gallego2014ACF,
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title = {A Compact Formula for the Derivative of a 3-D Rotation in Exponential Coordinates},
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@ -4342,7 +4342,7 @@ CV_EXPORTS_W RotatedRect fitEllipseAMS( InputArray points );
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The function calculates the ellipse that fits a set of 2D points.
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It returns the rotated rectangle in which the ellipse is inscribed.
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The Direct least square (Direct) method by @cite Fitzgibbon1999 is used.
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The Direct least square (Direct) method by @cite oy1998NumericallySD is used.
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For an ellipse, this basis set is \f$ \chi= \left(x^2, x y, y^2, x, y, 1\right) \f$,
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which is a set of six free coefficients \f$ A^T=\left\{A_{\text{xx}},A_{\text{xy}},A_{\text{yy}},A_x,A_y,A_0\right\} \f$.
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@ -5,7 +5,7 @@
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* contours and approximate it by ellipses using three methods.
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* 1: OpenCV's original method fitEllipse which implements Fitzgibbon 1995 method.
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* 2: The Approximate Mean Square (AMS) method fitEllipseAMS proposed by Taubin 1991
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* 3: The Direct least square (Direct) method fitEllipseDirect proposed by Fitzgibbon1999.
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* 3: The Direct least square (Direct) method fitEllipseDirect proposed by oy1998NumericallySD.
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*
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* Trackbar specify threshold parameter.
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*
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