000			04908cam a2200589Ki 4500
001			9780429443077
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005			20220509193102.0
006			m o d
007			cr |n|||||||||
008			190717s2019 flu ob 001 0 eng d
040			_aOCoLC-P _beng _cOCoLC-P
020			_a9780429810992 _q(electronic bk.)
020			_a0429810997 _q(electronic bk.)
020			_a9780429443077 _q(electronic bk.)
020			_a0429443072 _q(electronic bk.)
020			_a9780429810978 _q(electronic bk. : Mobipocket)
020			_a0429810970 _q(electronic bk. : Mobipocket)
020			_a9780429810985 _q(electronic bk. : EPUB)
020			_a0429810989 _q(electronic bk. : EPUB)
020			_z1138336343
020			_z9781138336346
035			_a(OCoLC)1108919429
035			_a(OCoLC-P)1108919429
050		4	_aR857.O6
072		7	_aMED _x080000 _2bisacsh
072		7	_aTEC _x015000 _2bisacsh
072		7	_aPHVD _2bicssc
082	0	4	_a616.07/54 _223
100	1		_aMoraleda, Rodrigo Rojas.
245	1	0	_aComputational topology for biomedical imageand data analysis _h[electronic resource] : _btheory and applications / _cRodrigo Rojas Moraleda, Nektarios A. Valous, Wei Xiong, Niels Halama.
260			_aBoca Raton, FL : _bCRC Press, Taylor & Francis Group, _c[2020]
300			_a1 online resource
490	1		_aSeries in medical physics and biomedical engineering
490	1		_aCRC focus series
505	0		_aCover; Half Title; Series Page; Title Page; Copyright Page; Dedication; Contents; Series Preface; Foreword; Preface; Contributors; Authors; Section I: Theoretical foundations; Chapter 1: Elements of topology and homology; 1.1 ELEMENTS OF GROUP THEORY; 1.1.1 Set; 1.1.2 Group; 1.1.3 Ring and field; 1.1.4 Homomorphism; 1.1.5 Modular arithmetic; 1.2 TOPOLOGICAL SPACES; 1.2.1 Connected topological spaces; 1.2.2 Continuity and continuous maps; 1.3 METRIC SPACES; 1.3.1 Topology in a metric space; 1.4 ELEMENTS OF AFFINE VECTOR SPACES; 1.4.1 Affine vector space A; 1.5 SIMPLICIAL COMPLEXES
505	8		_a1.5.1 Geometric simplicial complexes1.5.2 Oriented simplicial complexes; 1.5.3 Unoriented simplicial complexes; 1.5.4 Abstract simplicial complexes; 1.6 HOMOLOGY; 1.6.1 Homology of oriented simplicial complexes; 1.6.2 Homology of unoriented simplicial complexes; 1.6.3 Homology of abstract simplicial complexes; 1.7 CHAPTER FIGURES; Chapter 2: Persistent homology of images; 2.1 INTRODUCTION; 2.2 DIGITAL IMAGES; 2.3 A NEIGHBORHOOD SYSTEM FOR IMAGES; 2.3.1 Spatial-based neighborhood; 2.3.2 Intensity-based neighborhood; 2.4 COMPUTING HOMOLOGY FROM IMAGES; 2.4.1 The digital image function x
505	8		_a2.4.2 Projected umbra2.4.3 Inclusion tree of umbra projections; 2.4.4 Algorithms for computing homology; 2.4.5 Construction of abstract simplicial complexes; 2.5 PERSISTENT HOMOLOGY; 2.5.1 Filtration; 2.5.2 Persistence; 2.5.3 Computation of persistent homology; 2.5.4 Persistence diagram; 2.6 COMPUTATIONAL COST; 2.7 CHAPTER FIGURES; Section II: Case studies; Chapter 3: Recognizing noise; 3.1 SYNTHETIC IMAGES; 3.2 WORKFLOW; 3.3 RESULTS; 3.4 CHAPTER FIGURES; Chapter 4: Image segmentation; 4.1 INTRODUCTION; 4.2 MATERIALS AND IMAGE ACQUISITION; 4.3 FEATURE SPACE
505	8		_a4.4 IMAGE DISMANTLING AND INCLUSION TREE4.5 FILTRATION; 4.6 HOMOLOGY AND PERSISTENCE DIAGRAM; 4.7 STATISTICAL INFERENCE; 4.8 MASK SEGMENTATION; 4.9 VALIDATION WITH CASE STUDY DATA; 4.10 VALIDATION WITH ILASTIK; 4.11 RESULTS WITH CASE STUDY DATA; 4.12 RESULTS WITH ILASTIK; 4.13 CHAPTER FIGURES; Chapter 5: Point cloud characterization; 5.1 INTRODUCTION; 5.2 POINT CLOUD; 5.3 WORKFLOW; 5.4 RESULTS; 5.5 CHAPTER FIGURES; Bibliography; Index
520			_aThis book provides an accessible yet rigorous introduction to topology and homology focused on the simplicial space. It presents a compact pipeline from the foundations of topology to biomedical applications. It will be of interest to medical physicists, computer scientists, and engineers, as well as undergraduate and graduate students interested in this topic. Features: Presents a practical guide to algebraic topology as well as persistence homology Contains application examples in the field of biomedicine, including the analysis of histological images and point cloud data
588			_aOCLC-licensed vendor bibliographic record.
650		0	_aImaging systems in medicine _xData processing.
650		0	_aTopology _xData processing.
650		0	_aImage analysis _xData processing.
650		0	_aHomology theory.
650		7	_aMEDICAL / Radiology & Nuclear Medicine _2bisacsh
650		7	_aTECHNOLOGY / Imaging Systems _2bisacsh
700	1		_aValous, Nektarios A.
700	1		_aXiong, Wei, _d1966-
700	1		_aHalama, Niels.
856	4	0	_3Taylor & Francis _uhttps://www.taylorfrancis.com/books/9780429443077
856	4	2	_3OCLC metadata license agreement _uhttp://www.oclc.org/content/dam/oclc/forms/terms/vbrl-201703.pdf
999			_c129496 _d129496