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020 _a9783031018152
024 7 _a10.1007/978-3-031-01815-2
_2doi
040 _aES-MaUEC
_bspa
_cES-MaUEC
_dES-MaUEC
050 4 _aQA297.6
_b2016 EB
100 1 _aKanatani, Kenʼichi,
_eautor
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
_9101824
_d1947-
245 1 0 _aEllipse Fitting for Computer Vision :
_bImplementation and Applications
_cby Kenichi Kanatani, Yasuyuki Sugaya, Yasushi Kanazawa
250 _a1st edition 2016
264 1 _aCham
_bSpringer International Publishing
_c2016
300 _a1 recurso en línea (XII, 128 páginas)
336 _atexto
_btxt
_2rdacontent
337 _aelectrónico
_bc
_2rdamedia
338 _arecurso electrónico
_bcr
_2rdacarrier
347 _aarchivo de texto
_bPDF
490 0 _aSynthesis Lectures on Computer Vision
_x2153-1064
505 0 _aPreface -- Introduction -- Algebraic Fitting -- Geometric Fitting -- Robust Fitting -- Ellipse-based 3-D Computation -- Experiments and Examples -- Extension and Generalization -- Accuracy of Algebraic Fitting -- Maximum Likelihood and Geometric Fitting -- Theoretical Accuracy Limit -- Answers -- Bibliography -- Authors' Biographies -- Index .
520 _aBecause circular objects are projected to ellipses in images, ellipse fitting is a first step for 3-D analysis of circular objects in computer vision applications. For this reason, the study of ellipse fitting began as soon as computers came into use for image analysis in the 1970s, but it is only recently that optimal computation techniques based on the statistical properties of noise were established. These include renormalization (1993), which was then improved as FNS (2000) and HEIV (2000). Later, further improvements, called hyperaccurate correction (2006), HyperLS (2009), and hyper-renormalization (2012), were presented. Today, these are regarded as the most accurate fitting methods among all known techniques. This book describes these algorithms as well implementation details and applications to 3-D scene analysis. We also present general mathematical theories of statistical optimization underlying all ellipse fitting algorithms, including rigorous covariance and bias analyses and the theoretical accuracy limit. The results can be directly applied to other computer vision tasks including computing fundamental matrices and homographies between images. This book can serve not simply as a reference of ellipse fitting algorithms for researchers, but also as learning material for beginners who want to start computer vision research. The sample program codes are downloadable from the website: https://sites.google.com/a/morganclaypool.com/ellipse-fitting-for-computer-vision-implementation-and-applications.
988 _aSynthesis Collection of Technology_2016
650 7 _2embne
_9159793
_aVisión por ordenador
_xModelos matemáticos
700 _aSugaya, Yasuyuki
_eautor
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
_9101825
700 1 _aKanazawa, Yasushi
_eautor
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
_9101826
776 0 8 _iPrinted edition:
_z9783031000768
776 0 8 _iPrinted edition:
_z9783031006876
776 0 8 _iPrinted edition:
_z9783031029431
856 4 0 _uhttps://go.openathens.net/redirector/universidadeuropea.es?url=https://doi.org/10.1007/978-3-031-01815-2
_zAcceso a este recurso digital (usuarios Universidad Europea de Madrid)
942 _2lcc
_cLE
998 _b03/2023
_dz
_esc
_zSI