Reasoning with uncertain points, straight lines, and straight line segments in 2D

[1]  George H. Ling,et al.  Die Ausgleichungsrechnung nach der Methode der Kleinsten Quadrate , 1907 .

[2]  L. M. M.-T..  Theory of Probability , 1929, Nature.

[3]  E. S. Pearson,et al.  On the Problem of the Most Efficient Tests of Statistical Hypotheses , 1933 .

[4]  E. S. Pearson,et al.  On the Problem of the Most Efficient Tests of Statistical Hypotheses , 1933 .

[5]  I N Bronstein,et al.  Taschenbuch der Mathematik , 1966 .

[6]  Richard O. Duda,et al.  Use of the Hough transformation to detect lines and curves in pictures , 1972, CACM.

[7]  Christopher Bingham.  An Antipodally Symmetric Distribution on the Sphere , 1974 .

[8]  Edward M. Mikhail,et al.  Observations And Least Squares , 1983 .

[9]  S. B. Atienza-Samols,et al.  With Contributions by , 1978 .

[10]  Soren W. Henriksen,et al.  Manual of photogrammetry , 1980 .

[11]  Karl-Rudolf Koch,et al.  Parameter estimation and hypothesis testing in linear models , 1988 .

[12]  Gérard G. Medioni,et al.  Inferring global perceptual contours from local features , 1993, Proceedings of IEEE Conference on Computer Vision and Pattern Recognition.

[13]  Robert T. Collins,et al.  Model acquisition using stochastic projective geometry , 1993 .

[14]  Kenichi Kanatani.  Statistical analysis of geometric computation , 1994 .

[15]  S. P. Mudur,et al.  Three-dimensional computer vision: a geometric viewpoint , 1993 .

[16]  Wolfgang Förstner,et al.  Polymorphic grouping for image segmentation , 1995, Proceedings of IEEE International Conference on Computer Vision.

[17]  Kenichi Kanatani,et al.  Statistical optimization for geometric computation - theory and practice , 1996, Machine intelligence and pattern recognition.

[18]  Richard I. Hartley,et al.  In Defense of the Eight-Point Algorithm , 1997, IEEE Trans. Pattern Anal. Mach. Intell..

[19]  Gérard G. Medioni,et al.  Inference of Surfaces, 3D Curves, and Junctions From Sparse, Noisy, 3D Data , 1997, IEEE Trans. Pattern Anal. Mach. Intell..

[20]  J. Clarke.  Modelling uncertainty: A primer , 1998 .

[21]  Wenzhong Shi.  A Generic Statistical Approach for Modelling Error of Geometric Features in GIS , 1998, Int. J. Geogr. Inf. Sci..

[22]  Sven Utcke.  Grouping based on projective geometry constraints and uncertainty , 1998, Sixth International Conference on Computer Vision (IEEE Cat. No.98CH36271).

[23]  Daniel Crevier,et al.  A Probabilistic Method for Extracting Chains of Collinear Segments , 1999, Comput. Vis. Image Underst..

[24]  Wolfgang Förstner,et al.  Statistically Testing Uncertain Geometric Relations , 2000, DAGM-Symposium.

[25]  Wenzhong Shi,et al.  A stochastic process-based model for the positional error of line segments in GIS , 2000, Int. J. Geogr. Inf. Sci..

[26]  Peter Meer,et al.  A general method for Errors-in-Variables problems in computer vision , 2000, Proceedings IEEE Conference on Computer Vision and Pattern Recognition. CVPR 2000 (Cat. No.PR00662).

[27]  Antonio Criminisi,et al.  Accurate Visual Metrology from Single and Multiple Uncalibrated Images , 2001, Distinguished Dissertations.

[28]  Ramakant Nevatia,et al.  Detection and Modeling of Buildings from Multiple Aerial Images , 2001, IEEE Trans. Pattern Anal. Mach. Intell..

[29]  Kenichi Kanatani,et al.  Do we really have to consider covariance matrices for image features? , 2001, Proceedings Eighth IEEE International Conference on Computer Vision. ICCV 2001.

[30]  Andrew Zisserman,et al.  Multiple View Geometry in Computer Vision (2nd ed) , 2003 .

[31]  Ullrich Köthe,et al.  Edge and Junction Detection with an Improved Structure Tensor , 2003, DAGM-Symposium.

[32]  Stephan Heuel,et al.  Uncertain Projective Geometry , 2004, Lecture Notes in Computer Science.

[33]  Wojciech Chojnacki,et al.  Rationalising the Renormalisation Method of Kanatani , 2001, Journal of Mathematical Imaging and Vision.

[34]  Cordelia Schmid,et al.  Evaluation of Interest Point Detectors , 2000, International Journal of Computer Vision.

[35]  Stephan Heuel,et al.  Uncertain Projective Geometry: Statistical Reasoning for Polyhedral Object Reconstruction , 2004, Lecture Notes in Computer Science.

[36]  Zhengyou Zhang,et al.  Determining the Epipolar Geometry and its Uncertainty: A Review , 1998, International Journal of Computer Vision.

[37]  Christian Beder.  Fast Statistically Geometric Reasoning About Uncertain Line Segments in 2D- and 3D-Space , 2004, DAGM-Symposium.

[38]  Allan D. Jepson,et al.  Perceptual grouping for contour extraction , 2004, Proceedings of the 17th International Conference on Pattern Recognition, 2004. ICPR 2004..

[39]  Karl Rohr,et al.  Recognizing corners by fitting parametric models , 1992, International Journal of Computer Vision.

[40]  Eduardo Bayro Corrochano,et al.  Handbook of Geometric Computing , 2005 .

[41]  金谷 健一.  Statistical optimization for geometric computation : theory and practice , 2005 .

[42]  Matthias Mühlich,et al.  Estimation in projective spaces and applications in computer vision , 2005 .

[43]  Wolfgang Förstner,et al.  Uncertainty and Projective Geometry , 2005 .

[44]  E. Mikhail,et al.  Manual of Photogrammetry, 5th Edition , 2006 .

[45]  W. R. Howard.  Handbook of Geometric Computing , 2006 .

[46]  Serge J. Belongie,et al.  Covariance Propagation for Guided Matching , 2006 .