Handbook of numerical analysis: Volume 19 Processing, analyzing and learning of images, shapes and forms : part 1
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| Other Authors: | , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Amsterdam
North-Holland
[2018]
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| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | xi, 145 Seiten Illustrationen, Diagramme (teilweise farbig) |
| ISBN: | 9780444642059 |
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MARC
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| 245 | 1 | 0 | |a Handbook of numerical analysis |n Volume 19 |p Processing, analyzing and learning of images, shapes and forms : part 1 |c general editor: P. G. Ciarlet (Laboratoire Jacques-Louis Lions, Université Pierre et Marie Curie), J. L. Lions |
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| adam_text | Contents Contributors Preface ix xi Section One 1. Compressed Learning for Image Classification: A Deep NeuralNetwork Approach 3 E. Zisselman, A. Adler, and M. Elad 1 2 Introduction Compressed Learning Overview 2.1 Compressed Sensing 2.2 Compressed Learning 3 The Proposed End-to-End CL Approach 4 Performance Evaluation 4.1 MNIST Dataset 4.2 CIFAR10 Dataset 5 Conclusions References 4 6 6 8 9 10 10 14 16 16 Section Two 2. Exploiting the Structure Effectively and Efficiently in Low-RankMatrix Recovery 21 Jian-Feng Cai and Ke Wei 1 2 Introduction 1.1 Matrix Sensing 1.2 Matrix Completion 1.3 Phase Retrieval 1.4 Notation and Organization Convex Approach: Nuclear Norm Minimization 2.1 Recovery Guarantees of NuclearNorm Minimization 2.2 Algorithms for Nuclear NormMinimization 22 23 23 23 24 24 25 27 v
Contents VI 3 Projected Gradient Descent Based on Matrix Factorization 3.1 Recovery Guarantees of (PGD) 4 Algorithms on Embedded Manifold of Low-Rank Matrices 4.1 Iterative Hard Thresholding 4.2 Riemannian Optimization on Low-Rank Manifold 4.3 Recovery Guarantees of RGrad 4.4 PGD vs RGrad: An Illustration on Matrix Completion 4.5 Extensions 5 Conclusion and Discussion References 31 32 36 36 37 39 40 41 46 46 Section Three 3. Partial Single- and Multishape Dense Correspondence Using Functional Maps 55 Or Litany, Emanuele Rodolà, Alex Bronsteìn, Michael Bronstein, and Daniel Cremers 4. 1 Introduction 1.1 Related Work 2 Full Nonrigid Shape Correspondence 2.1 Functional Representation 2.2 Joint Diagonalization 3 Partial Functional Correspondence 4 Multipart Partial Functional Maps 4.1 Nonrigid Puzzles 4.2 Implementation 4.3 Experimental Results 4.4 Discussion and Conclusions 5 Fully Spectral Partial Functional Maps 5.1 Localization 5.2 Problem 5.3 Part-to-Part 5.4 Comparison to Joint Diagonalization 5.5 Geometric Interpretation 5.6 Implementation 5.7 Experimental Results 5.8 Part-to-Full 5.9 Discussion and Conclusions References 56 56 58 59 60 62 64 65 68 69 72 74 74 75 77 77 78 79 81 82 86 88 Shape Correspondence and Functional Maps 91 Maks Ovsjanikov List of Key Symbols 1 Introduction 1.1 Organization 92 92 93
Contents VII 2 3 Functional Maps in the ContinuousSetting Functional Maps in a Basis 3.1 Functional Representation of Given Map 3.2 General Functional Maps 4 Functional Representation Properties 4.1 Choice of Basis 4.2 Map Properties in the Functional Domain 4.3 Map Inversion and Composition 4.4 Linearity of Constraints 4.5 Operator Commutativity 4.6 Descriptor Preservation via Commutativity 5 Shape Matching With Functional Maps 5.1 Basis Estimation 5.2 Functional Map Optimization Problem 5.3 Functional Map Computation and Regularization 5.4 Efficient Conversion to Point-to-Point 5.5 Postprocessing Iterative Refinement 5.6 Shape Matching Pipeline 5.7 Basic Implementation 5.8 Results 6 Other Applications and Extensions 6.1 Function (Segmentation) Transfer 6.2 Extensions 6.3 Maps in Collections 6.4 Functional Maps and Learning 6.5 Coupled Functional Maps and Adjoint Regularization 7 Further Reading Acknowledgements References 5. Factoring Scene Layout From Monocular Images in Presence of Occlusion 93 95 96 97 98 98 100 101 101 102 103 104 105 106 106 108 108 109 110 111 113 113 113 114 114 114 115 116 116 119 Niloy J. Mitra 1 2 3 4 5 Introduction Related Work 2.1 Scene Mock-ups 2.2 3D-»2D Alignment 2.3 Priors for Scene Reconstruction Overview Method 4.1 Keypoint Detection 4.2 Candidate Object Detection 4.3 Scene Inference Results and Discussion 5.1 Training and Test Data 5.2 Performance Measures and Parameters 5.3 Baselines: State-of-the-Art Alternatives 120 122 122 123 123 123 124 124 124 126 129 129 130 131
Contents 5.4 Evaluation and Discussion 5.5 Ablation Study 6 Discussion 7 Conclusion Acknowledgements References 132 136 136 137 137 137
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| any_adam_object | 1 |
| author2 | Kimmel, Ron 1963- Du, Qiang 1964- |
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| bvnumber | BV045400959 |
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| discipline | Mathematik |
| format | Book |
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| indexdate | 2024-07-10T08:17:11Z |
| institution | BVB |
| isbn | 9780444642059 |
| language | English |
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| spelling | Handbook of numerical analysis Volume 19 Processing, analyzing and learning of images, shapes and forms : part 1 general editor: P. G. Ciarlet (Laboratoire Jacques-Louis Lions, Université Pierre et Marie Curie), J. L. Lions Amsterdam North-Holland [2018] xi, 145 Seiten Illustrationen, Diagramme (teilweise farbig) txt rdacontent n rdamedia nc rdacarrier Numerische Mathematik (DE-588)4042805-9 gnd rswk-swf Analysis (DE-588)4001865-9 gnd rswk-swf Numerisches Verfahren (DE-588)4128130-5 gnd rswk-swf Numerische Mathematik (DE-588)4042805-9 s Analysis (DE-588)4001865-9 s Numerisches Verfahren (DE-588)4128130-5 s DE-604 Kimmel, Ron 1963- (DE-588)117552008X edt Ciarlet, Philippe G. 1938- Sonstige (DE-588)143368362 oth Tai, Xue-Cheng Sonstige (DE-588)1199863300 oth Lions, Jacques-Louis 1928-2001 Sonstige (DE-588)124055397 oth Du, Qiang 1964- (DE-588)1188249320 edt (DE-604)BV002745459 19 Digitalisierung UB Passau - ADAM Catalogue Enrichment application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=030787050&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Handbook of numerical analysis Numerische Mathematik (DE-588)4042805-9 gnd Analysis (DE-588)4001865-9 gnd Numerisches Verfahren (DE-588)4128130-5 gnd |
| subject_GND | (DE-588)4042805-9 (DE-588)4001865-9 (DE-588)4128130-5 |
| title | Handbook of numerical analysis |
| title_auth | Handbook of numerical analysis |
| title_exact_search | Handbook of numerical analysis |
| title_full | Handbook of numerical analysis Volume 19 Processing, analyzing and learning of images, shapes and forms : part 1 general editor: P. G. Ciarlet (Laboratoire Jacques-Louis Lions, Université Pierre et Marie Curie), J. L. Lions |
| title_fullStr | Handbook of numerical analysis Volume 19 Processing, analyzing and learning of images, shapes and forms : part 1 general editor: P. G. Ciarlet (Laboratoire Jacques-Louis Lions, Université Pierre et Marie Curie), J. L. Lions |
| title_full_unstemmed | Handbook of numerical analysis Volume 19 Processing, analyzing and learning of images, shapes and forms : part 1 general editor: P. G. Ciarlet (Laboratoire Jacques-Louis Lions, Université Pierre et Marie Curie), J. L. Lions |
| title_short | Handbook of numerical analysis |
| title_sort | handbook of numerical analysis processing analyzing and learning of images shapes and forms part 1 |
| topic | Numerische Mathematik (DE-588)4042805-9 gnd Analysis (DE-588)4001865-9 gnd Numerisches Verfahren (DE-588)4128130-5 gnd |
| topic_facet | Numerische Mathematik Analysis Numerisches Verfahren |
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