Merge pull request #9761 from Jazmann:ellipseFitAMS&Direct

doc/opencv.bib

@@ -295,6 +295,66 @@
   pages = {513--522},
   organization = {BMVA Press}
 }
+@ARTICLE{fitzgibbon1999,
+  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},
+  author = {Fitzgibbon, Andrew and Pilu, Maurizio and Fisher, Robert B.},
+  doi= {10.1109/34.765658},
+  isbn= {0162-8828},
+  issn= {01628828},
+  journal = {IEEE Transactions on Pattern Analysis and Machine
+  Intelligence},
+  number = {5},
+  pages= {476--480},
+  pmid= {708},
+  title= {{Direct least square fitting of ellipses}},
+  volume = {21},
+  year= {1999}
+}
+@Article{taubin1991,
+  abstract = {The author addresses the problem of parametric
+  representation and estimation of complex planar curves in
+  2-D surfaces in 3-D, and nonplanar space curves in 3-D.
+  Curves and surfaces can be defined either parametrically or
+  implicitly, with the latter representation used here. A
+  planar curve is the set of zeros of a smooth function of
+  two variables <e1>x</e1>-<e1>y</e1>, a surface is the set
+  of zeros of a smooth function of three variables
+  <e1>x</e1>-<e1>y</e1>-<e1>z</e1>, and a space curve is the
+  intersection of two surfaces, which are the set of zeros of
+  two linearly independent smooth functions of three
+  variables <e1>x</e1>-<e1>y</e1>-<e1>z</e1> For example, the
+  surface of a complex object in 3-D can be represented as a
+  subset of a single implicit surface, with similar results
+  for planar and space curves. It is shown how this unified
+  representation can be used for object recognition, object
+  position estimation, and segmentation of objects into
+  meaningful subobjects, that is, the detection of `interest
+  regions' that are more complex than high curvature regions
+  and, hence, more useful as features for object
+  recognition},
+  author = {Taubin, Gabriel},
+  doi= {10.1109/34.103273},
+  isbn= {0162-8828},
+  issn= {01628828},
+  journal = {IEEE Transactions on Pattern Analysis and Machine Intelligence},
+  number = {11},
+  pages= {1115--1138},
+  title= {{Estimation of planar curves, surfaces, and nonplanar
+  space curves defined by implicit equations with
+  applications to edge and range image segmentation}},
+  volume = {13},
+  year= {1991}
+}
 @INPROCEEDINGS{G11,
   author = {Grundmann, Matthias and Kwatra, Vivek and Essa, Irfan},
   title = {Auto-directed video stabilization with robust l1 optimal camera paths},