IMAGE SLICING AND STATISTICAL LAYER APPROACHES FOR CONTENT-BASED IMAGE RETRIEVAL JEHAD QUBIEL ODEH AL-NIHOUD

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1 IMAGE SLICING AND STATISTICAL LAYER APPROACHES FOR CONTENT-BASED IMAGE RETRIEVAL By JEHAD QUBIEL ODEH AL-NIHOUD Thesis Submitted to the School of Graduate Studies, Universiti Putra Malaysia, in Fulfilment of the Requirements for the Degree of Doctor of Philosophy December 2004

2 To My Family with My Love ii

3 Abstract of thesis presented to the Senate of Universiti Putra Malaysia in fulfilment of the requirement for the degree of Doctor of Philosophy IMAGE SLICING AND STATISTICAL LAYER APPROACHES FOR CONTENT-BASED IMAGE RETRIEVAL By JEHAD QUBIEL ODEH AL-NIHOUD December 2004 Chairman: Associate Professor Hajah Fatimah Ahmad, Ph.D. Faculty: Computer Science and Information Technology Two new approaches for colour features representation and comparison in digital images to handle various problems in the field of content-based image retrieval are proposed. The first approach is a double-layered system utilising a new technique, which is based on image slicing, combined with statistical features extracted and compared in each layer (ISSL). The images database is filtered in the first layer based on the similarities of brightness compared with the query image and ranked in the second layer, based on the similarities of the contrast values between the query image and the set of candidate images retrieved through the first layer. Although different distance measurements are available, the city block known as L1-norm distance measurement is used. This is due to its speed efficiency and accuracy. Different experiments are applied to different database sets, containing different number of images. The results show that the approach is scalable to the varying size of the database, robust, accurate, and fast. A comparison iii

4 between the colour histogram approach and the proposed approach shows that the proposed system is more accurate and the speed of performance is much better. A new paradigm to choose the proper threshold value is proposed based on the autocorrelation of the distance vector. Moreover, an image retrieval system based on entropy as a visual discriminator is developed and compared with ISSL. The results show that the proposed ISSL approach is able to achieve better precision and reaches higher recall levels as compared with entropy approach. The second proposed technique for colour based retrieval is the Eigenvalues approach. Findings show that the interpretation of the Eigenvalues, as identity or signature for the square matrix, makes it possible to map this concept to the different bands of the image. The approach relies on calculating the accumulative distances between the query image and the images database, using the accumulative Eigenvalues of each band. The approach is tested, using different image queries over different database sets and the results are promising. Furthermore, the proposed approach is compared with ISSL approach and entropy approach, using different query images over a database set of 2000 images. In addition, a shape-based retrieval system is proposed. The system is double-layered, in which the first layer is used to filter the images database based on colour similarity. This allows the reduction in the number of candidate images, which need to be manipulated, using the shape retrieval technique in the second layer. The technique utilises a low-level image processing operations with Dilate as a morphological operator. Laplacian of Gaussian (LoG) is used to smoothen and detect the edges of the objects. Dilate on the iv

5 other hand is used to solidify the object and fill in the holes, and correlation coefficient is proposed as a new means to shape similarity measurement. Experiments show that the approach is fast, flexible, and the retrieval of images is highly accurate. It is also able to overcome the numerous problems that are associated with the usage of the low-level image processing operation in image retrieval. v

6 Abstrak tesis yang dikemukakan kepada Senat Universiti Putra Malaysia sebagai memenuhi keperluan untuk ijazah Doktor Falsafah PENDEKATAN PENGHIRISAN IMEJ DAN LAPISAN BERSTATISTIK UNTUK DAPATAN SEMULA IMEJ BERASASKAN KANDUNGAN Oleh JEHAD QUBIEL ODEH AL-NIHOUD Disember 2004 Pengerusi: Profesor Madya Hajah Fatimah Ahmad, Ph.D. Fakulti: Sains Komputer dan Teknologi Maklumat Hasil kajian ini mencadangkan dua pendekatan untuk perwakilan dan perbandingan ciriciri warna di dalam imej digital bagi menangani pelbagai masalah di dalam bidang dapatan semula imej berasas kandungan. Pendekatan pertama ialah penggunaan teknik baru iaitu sistem lapisan berganda. Sistem ini berasaskan penghirisan imej iaitu penggunaan gabungan ciri-ciri statistik dan perbandingan di dalam setiap lapisan (ISSL). Ianya dilakukan dengan menapis imej-imej dalam pangkalan data dalam lapisan pertama berdasarkan kepada kesamaan kecerahan sesuatu imej dan dibandingkan dengan imej carian dan dikelaskan di dalam lapisan kedua. Pengkelasan ini adalah berdasarkan kepada kesamaan dalam nilai keterangan bagi sesuatu kecerahan imej di antara imej carian dan set imej-imej capaian terpilih melalui lapisan pertama. vi

7 Pendekatan ini juga menggunakan teknik pengukuran L1-norm sebagai pengukuran jarak disebabkan oleh kecekapan dan ketepatan kelajuannya dalam membuat penapisan dan perbandingan imej-imej. Pelbagai kajian dijalankan ke atas set-set pangkalan data yang berbeza yang mengandungi bilangan imej yang berlainan. Hasil kajian ini menunjukkan bahawa pendekatan ini bersesuaian digunakan untuk pelbagai saiz pangkalan data dimana ianya, teguh, tepat dan pantas dalam menghasilkan dapatan semula imej. Perbandingan juga dibuat di antara penggunaan pendekatan histogram warna dan pendekatan yang dicadangkan dan ianya menunjukkan bahawa sistem yang dicadangkan lebih tepat dan prestasi kelajuannya adalah lebih baik. Paradigma baru juga digunakan untuk memilih nilai ambang yang dicadangkan berdasarkan kepada autokorelasi bagi jarak vektor. Sistem berasaskan dapatan semula imej ke atas entropi sebagai visual diskriminator juga dibangun dan dibandingkan dengan ISSL dan hasil daripada ini ianya menunjukkan bahawa pendekatan ISSL yang dicadangkan boleh digunakan untuk mencapai ketepatan yang lebih baik dan mencapai tahap perolehan yang lebih tinggi berbanding dengan pendekatan entropi. Teknik kedua yang dicadangkan untuk dapatan semula berasas warna adalah berdasarkan pendekatan Eigenvalues. Hasil kajian menunjukkan interprestasi Eigenvalues sebagai identiti atau pengenalan untuk matriks segiempat sama bagi membolehkan ianya memeta konsep ini ke atas jalur-jalur imej yang berbeza. Pendekatan ini bergantung kepada perkiraan jarak terkumpul di antara imej carian dan imej-imej di dalam pangkalan data menggunakan Eigenvalues yang terkumpul bagi setiap jalur. Pendekatan ini diuji dengan menggunakan carian imej yang berbeza ke atas set-set pangkalan data yang berlainan dan vii

8 hasilnya menunjukkan ianya adalah lebih tepat. Pendekatan ini juga dibandingkan dengan pendekatan ISSL dan pendekatan entropi dengan melakukan ujian yang menggunakan imej carian yang berbeza di dalam set pangkalan data yang mempunyai 2000 imej. Kajian ini juga mencadangkan sistem dapatan semula berasas bentuk. Sistem ini mempunyai dua lapisan di mana lapisan pertama digunakan untuk menapis imej-imej dalam pangkalan data berdasarkan kepada kesamaan warna pada imej tersebut. Ini akan menyebabkan penurunan dalam bilangan imej terpilih yang perlu dimanipulasi dengan menggunakan teknik dapatan semula bentuk di dalam lapisan kedua. Teknik ini menggunakan operasi pemprosesan imej bertahap rendah dengan Dilate sebagai operator morfologi. Laplacian of Gaussian (LoG) pula digunakan untuk melicinkan dan mengesan sempadan-sempadan bagi sesuatu objek manakala Dilate digunakan untuk memadatkan dan mengisi objek-objek ini ke dalam lubang-lubang dan pekali korelasi digunakan sebagai satu kaedah untuk mengukur kesamaan bentuk. Kajian menunjukkan pendekatan ini lebih pantas, fleksibel dan dapatan semula imejnya lebih tepat. Ianya juga boleh menyelesaikan pelbagai masalah yang melibatkan penggunaan operasi pemprosesan imej bertahap rendah di dalam bidang dapatan semula imej. viii

9 ACKNOWLEDGEMENT In the name of ALLAH, The Most Gracious, and Most Merciful This thesis would not have been possible without the help of many who have contributed one way or another in its creation. While it is difficult to acknowledge them all, I would like to express my thanks and appreciation to whomever contributes to the success of this research work. However, I would like to convey my sincere thanks and deepest appreciation to my supervisory committee, Assoc. Prof. Hajah Fatimah Ahmad, Assoc. Prof. Mohamed Othman, and Dr. Rozita Johari for their help, guidance, patience and encouragement rendered throughout the different phases of this research. I would also like to convey my thanks to the Faculty of Computer Science and Information Technology, the Sultan Abdul Samad Library and Universiti Putra Malaysia for assisting me in my study. I express my warmest gratitude to my mother and the soul of my late father, who never let me believe I could not succeed in this work or in any other challenges in my life. Also, special thanks to my wife, brothers, and sisters, for their prayers, love and encouragement during my study. Finally, I am grateful to all of my friends, Atheer Abas, Mueen Ahmad, Belal Yousf, Nbhan Salih, and Hakim Mellah for their support. ix

10 I certify that an Examination Committee met on 2 nd December 2004 to conduct the final examination of Jehad Qubiel Odeh, on his Doctor of Philosophy thesis entitled Image Slicing and Statistical Layer Approaches for Content-Based Image Retrieval in accordance with Universiti Pertanian Malaysia (Higher Degree) Act 1980 and Universiti Pertanian Malaysia (Higher Degree) Regulations The Committee recommends that the candidate be awarded the relevant degree. Members of the Examination Committee are as follows: MOHD HASAN SELAMAT, M.Phil. Associate Professor Faculty of Computer Science and Information Technology University Putra Malaysia (Chairman) RAMLAN MAHMOD, Ph.D. Associate Professor Faculty of Computer Science and Information Technology University Putra Malaysia (Member) RAHMITA WIRZA, Ph.D. Faculty of Computer Science and Information Technology University Putra Malaysia (Member) TENGKU MOHD TENGKU SEMBOK, Ph.D. Professor Faculty of Information Science and Technology University Kebangsaan Malaysia (Independent Examiner) ZAKARIAH ABD RASHID, Ph.D. Professor/Deputy Dean School of Graduate Studies Universiti Putra Malaysia Date: x

11 This Thesis submitted to the Senate of Universiti Putra Malaysia and has been accepted as fulfilment of the requirement for the degree of Doctor of Philosophy. The members of the Supervisory Committee are as follows: HAJAH FATIMAH AHMAD, Ph.D. Associate Professor Faculty of Computer Science and Information Technology Universiti Putra Malaysia (Chairman) MOHAMAD OTHMAN, Ph.D. Associate Professor Faculty of Computer Science and Information Technology Universiti Putra Malaysia (Member) ROZITA JOHARI, Ph.D. Faculty of Computer Science and Information Technology Universiti Putra Malaysia (Member) AINI IDERIS, Ph.D. Professor/Dean School of Graduate School Universiti Putra Malaysia Date: xi

12 DECLARATION I hereby declare that the thesis is based on my original work except for quotations and citations, which have been duly acknowledged. I also declare that it has not been previously or concurrently submitted for any other degree at UPM or other institutions. JEHAD QUBIEL ODEH ALNIHOUD Date: xii

13 TABLE OF CONTENTS Page ABSTRACT ABSTRAK ACKNOWLEDGEMENTS APPROVAL DECLARATION LIST OF TABLES LIST OF FIGURES LIST OF ABBREVIATIONS iii vi ix x xii xvii xix xxv CHAPTER 1 INTRODUCTION Problems Statement Proposed Approaches Research Objectives Scope of the Research Main Contributions Thesis Structure 9 2 LITERATURE REVIEW Introduction Content-Based Image Retrieval (CBIR) Colour-Based Retrieval Colour Histogram Approach Colour Pair Segmentation Entropy as a Visual Feature for Colour-Based Retrieval Shape-Based Retrieval Global Shape Feature-Based Methods Region-Based Querying Methods Region Graph-Based Image Retrieval Model-Based Querying Commercial Systems Interfacing Summary 32 3 METHODOLOGY AND SYSTEM DESIGN Introduction 3.2 Prototyping Evolutionary Development Process xiii

14 3.2.2 Pilot System 3.3 Proposed Framework and Methodology 3.4 Similarity Measurements and Evaluation Techniques Similarity Measurements Evaluation Techniques Threshold Data 3.5 Summary COLOUR RETRIEVAL MODEL BASED ON IMAGE SLICING AND STATISTICAL LAYERS (ISSL) Introduction System Design and Implementation The Interface System Architecture Image Slicing Technique to Preserve the Spatial Similarity Definitions and Algorithms Colour Spaces Comparison using ISSL ISSL Evaluation Experimental Setup Average Recall versus Average Precision Testing Colour Histogram Approach ISSL versus Colour Histogram Approach Experimental Setup Recall and Precision of ISSL versus Colour Histogram Ranking Accuracy of ISSL versus Colour Histogram City Block versus Euclidean Distance Measures using Colour Histogram Run-Time Performance of ISSL versus Colour Histogram Discussion Summary ISSL VERSUS ENTROPY AS A VISUAL DISCRIMINATOR FOR COLOUR-BASED IMAGE RETRIEVAL Introduction Entropy Approach Overview Definition and Algorithms Experimental Setup Experiments Average Precision of Entropy-Based Similarity (Database Set 200 Images) Average Precision of Entropy-Based Similarity (Database Set 600 Images) 114 xiv

15 5.5.3 Average Precision of Entropy-Based Similarity (Database Set 1000 Images) Entropy versus ISSL (Database Set 2000 Images) Run-Time Performance of Entropy versus ISSL 5.6 Discussion 5.7 Summary EIGENVALUES AS A STATISTICAL FEATURE DISCRIMINATOR FOR COLOUR-BASED IMAGE RETRIEVAL Introduction 6.2 Eigenvalues Approach Overview 6.3 Eigenvalues Definition and Algorithms 6.4 Experimental Setup 6.5 Experiments Average Precision of Eigenvalues-Based Similarity (Database Set 200 Images) Average Precision of Eigenvalues-Based Similarity (Database Set 600 Images) Average Precision of Eigenvalues-Based Similarity (Database Set 1000 Images) Eigenvalues versus ISSL and Entropy (Database Set 2000 Images) Run-Time Performance of Eigenvalues-Based Similarity 6.6 Discussion 6.7 Summary INTEGRATION OF ISSL APPROACH FOR COLOUR RETRIEVAL AND SHAPE APPROACH BASED ON LOW LEVEL IMAGE PROCESSING OPERATIONS Introduction 7.2 System Design System Architecture The Interface 7.3 Neighbourhood Operations 7.4 Mar/Hildreth Criteria for Edge Operators 7.5 Edge Detection Operators Laplacian Laplacian of Gaussian 7.6 Morphology Structuring Elements Dilate xv

16 7.7 Matching by Correlation Coefficient 7.8 Proposed Shape Retrieval Algorithms (SRAs) 7.9 Experimental Setup 7.10 Experiments Retrieve Similar Images Retrieve Less Images Retrieve More Images Experimental Results Run-Time Performance 7.11 Discussion 7.12 Summary CONCLUSION AND FUTURE WORK 8.1 Results Summary 8.2 Future Studies Future Directions to Improve the Colour-Based Approaches Future Directions to Improve the Shape-Based Approach REFERENCES APPENDICES BIODATA OF THE AUTHOR xvi

17 LIST OF TABLES Table 4.1 Recall and Precision (ISSL, Database Set 200 Images) 4.2 Recall and Precision (ISSL, Database Set 400 Images) 4.3 Recall and Precision (ISSL, Database Set 600 Images) 4.4 Recall and Precision (ISSL, Database Set 800 Images) 4.5 Recall and Precision (ISSL, Database Set 1000 Images) 4.6 Recall and Precision (ISSL, Database Set 1200 Images) 4.7 Recall and Precision (ISSL, Database Set 1400 Images) 4.8 Recall and Precision (ISSL, Database Set 1600 Images) 4.9 Recall and Precision (ISSL, Database Set 1800 Images) 4.10 Recall and Precision (ISSL, Database Set 2000 Images) 4.11 Overall Recall and Precision of ISSL 4.12 Number of Relevant Images to Queries (ISSL versus Colour Histogram) 4.13 The Recall & Precision of ISSL versus Colour Histogram (Database Set 2000 Images) 4.14 Speed of Performance of City Block versus Euclidean (Colour Histogram Approach) 4.15 Speed of Performance of the ISSL versus Colour Histogram 5.1 Number of Relevant Images to Queries (Entropy, Database Set 200 Images) 5.2 Average Precision (Entropy, Database Set 200 Images) 5.3 Number of Relevant Images to Queries (Entropy, Database Set 600 Images) Page xvii

18 5.4 Average Precision (Entropy, Database Set 600 Images) 5.5 Number of Relevant Images to Queries (Entropy, Database Set 1000 Images) 5.6 Average Precision (Entropy, Database Set 1000 Images) 5.7 Number of Relevant Images to Queries (Database Set 2000 Images) 5.8 Average Precision (Entropy, Database Set 2000 Images) 5.9 Average Precision (ISSL, Database Set 2000 Images) 5.10 Run-Time Testing of Entropy versus ISSL 6.1 Number of Relevant Images to Queries (Eigenvalues, Database Set 200 Images) 6.2 Average Precision (Eigenvalues, Database Set 200 Images) 6.3 Number of Relevant Images to Queries (Eigenvalues, Database Set 600 Images) 6.4 Average Precision (Eigenvalues, Database Set 600 Images) 6.5 Number of Relevant Images to Queries (Eigenvalues, Database Set 1000 Images) 6.6 Average Precision (Eigenvalues, Database Set 1000 Images) 6.7 Average Precision (Eigenvalues, Database Set 2000 Images) 6.8 Run-Time Testing of Eigenvalues versus ISSL and Entropy 7.1 LoG Mask 7.2 Number of Relevant Images to Queries (Shape Approach, Database Set 1000 images) 7.3 Recall versus Average Precision (ε <= 0.30) 7.4 Recall versus Average Precision (ε <= 0.10) 7.5 Recall versus Average Precision (ε <= 0.50) 7.6 Run-Time Testing (Shape Approach) xviii

19 LIST OF FIGURES Figure 3.1 Traditional Image Retrieval Model 3.2 Prototyping in Software Development Process 3.3 Iterative Life Cycle 3.4 Proposed Image-Based Retrieval Framework 3.5 Colour Prototypes Creation Based on Incremental Development Process and Iterative Enhancement Method 3.6 Pilot System of the Proposed Colour and Shape-Based Image Retrieval Approaches 4.1 Interface of ISSL 4.2 System Overview of ISSL 4.3 Slicing Image to Four Subareas 4.4 Testing the Effectiveness of Slicing Technique 4.5 ISSL1 Algorithm 4.6 ISSL2 Algorithm 4.7 RGB Colour Space 4.8 HSV Colour Space 4.9 Query Image to Test Colour Spaces using ISSL 4.10 Retrieved Set (RGB Colour Space) 4.11 Retrieved Set (YCbCr Colour Space) 4.12 Retrieved Set (HSV Colour Space) 4.13 Colour Spaces Comparison (Recall versus Precision) Page xix

20 4.14 Query Images (ISSL, Database Set 200 Images) 4.15 Query Images (ISSL, Database Set 400 Images) 4.16 Query Images (ISSL, Database Set 600 Images) 4.17 Query Images (ISSL, Database Set 800 Images) 4.18 Query Images (ISSL, Database Set 1000 Images) 4.19 Query Images (ISSL, Database Set 1200 Images) 4.20 Query Images (ISSL, Database Set 1400 Images) 4.21 Query Images (ISSL, Database Set 1600 Images) 4.22 Query Images (ISSL, Database Set 1800 Images) 4.23 Query Images (ISSL, Database Set 2000 Images) 4.24 Regression between Database Size and Precision 4.25 Regression between Database Size and Recall 4.26 Sample Retrieved Set (ISSL Approach, Database Set 200 Images) 4.27 Sample Retrieved Set (ISSL Approach, Database Set 400 Images) 4.28 Sample Retrieved Set (ISSL Approach, Database Set 600 Images) 4.29 Sample Retrieved Set (ISSL Approach, Database Set 800 Images) 4.30 Sample Retrieved Set (ISSL Approach, Database Set 1000 Images) 4.31 Sample Retrieved Set (ISSL Approach, Database Set 1200 Images) 4.32 Sample Retrieved Set (ISSL Approach, Database Set 1400 Images) 4.33 Sample Retrieved Set (ISSL Approach, Database Set 1600 Images) 4.34 Sample Retrieved Set (ISSL Approach, Database Set 1800 Images) 4.35 Sample Retrieved Set (ISSL Approach, Database Set 2000 Images) 4.36 Colour Histogram Values Extraction xx

21 4.37 Query Images (ISSL versus Colour Histogram) 4.38 Sample1 of Retrieved Set (Colour Histogram Approach) 4.39 Sample2 of Retrieved Set (Colour Histogram Approach) 4.40 Sample3 of Retrieved Set (Colour Histogram Approach) 4.41 Query Image (Image Index 327) 4.42 Retrieved Set (ISSL) 4.43 Retrieved Set (Colour Histogram) 4.44 Recall versus Precision for ISSL and Colour Histogram 4.45 Query Image (Euclidean versus City Block) 4.46 Retrieved Set using Euclidean Distance Measure 4.47 Retrieved Set using City Block Distance Measure 5.1 System Overview (Entropy) 5.2 Entropy Prototype Interface 5.3 ENDA Algorithm 5.4 ENIQA Algorithm 5.5 Query Images (Entropy, Database Set 200 Images) 5.6 Recall versus Average Precision (Entropy, Database Set 200 Images) 5.7 Sample Retrieved Set (Entropy, Database Set 200 Images) 5.8 Query Images (Entropy, Database Set 600 Images) 5.9 Recall versus Average Precision (Entropy, Database Set 600 Images) 5.10 Sample Retrieved Set (Entropy, Database Set 600 Images) 5.11 Query Images (Entropy, Database Set 1000 Images) 5.12 Recall versus Average Precision (Entropy, Database Set 1000 Images) xxi

22 5.13 Sample Retrieved Set (Entropy, Database Set 1000 Images) 5.14 Query Images (Entropy versus ISSL, Database Set 2000 Images) 5.15 Recall versus Average Precision (Entropy versus ISSL) 5.16 Retrieved Set for Query 6 (Entropy, Database Set 2000 Images) 5.17 Retrieved Set for Query 4 (Entropy, Database Set 2000 Images) 6.1 System Overview (Eigenvalues Approach) 6.2 The Interface (Eigenvalues) 6.3 EVFEA1 Algorithm 6.4 EVFEA2 Algorithm 6.5 Query Images (Eigenvalues, Database Set 200 Images) 6.6 Recall versus Average Precision (Eigenvalues, Database Set 200 Images) 6.7 Sample Retrieved Set (Eigenvalues, Database Set 200 Images) 6.8 Query Images (Eigenvalues, Database Set 600 Images) 6.9 Recall versus Average Precision (Eigenvalues, Database Set 600 Images) 6.10 Sample Retrieved Set (Eigenvalues, Database Set 600 Images) 6.11 Query Images (Eigenvalues, Database Set 1000 Images) 6.12 Recall versus Average Precision (Eigenvalues, Database Set 1000 Images) 6.13 Sample Retrieved (Eigenvalues, Database Set 1000 Images) 6.14 Query Images (Eigenvalues, Database Set 2000 Images) 6.15 Recall versus Average Precision (ISSL, Entropy, and Eigenvalues) 6.16 Sample Retrieved Set (Eigenvalues, Database Set 2000 Images) 6.17 Eigenvalues Performance xxii

23 7.1 System Overview (Shape Prototype) 7.2 The Interface (Shape Prototype) 7.3 Laplacian Masks (Kernels) 7.4 Dilate Process 7.5 Dilate using Square Structuring Element 7.6 Correlation of f(x, y) and w(x, y) at the Point (s, t) 7.7 SRA1 Algorithm 7.8 SRA2 Algorithm 7.9 Set of Query Images (Shape Approach) 7.10 Result Set of Query 1 (ε<= 0.30) 7.11 Result Set of Query 2 (ε<= 0.30) 7.12 Result set of Query 3 (ε<= 0.30) 7.13 Result Set of Query 4 (ε<= 0.30) 7.14 Result Set of Query 5 (ε<= 0.30) 7.15 Result Set of Query 6 (ε<= 0.30) 7.16 Result Set of Query 7 (ε<= 0.30) 7.17 Result Set of Query 1 (ε<= 0.10) 7.18 Result Set of Query 2 (ε<= 0.10) 7.19 Result Set of Query 3 (ε<= 0.10) 7.20 Result Set of Query 4 (ε<= 0.10) 7.21 Result Set of Query 5 (ε<= 0.10) 7.22 Result Set of Query 6 (ε<= 0.10) 7.23 Result Set of Query 7 (ε<= 0.10) xxiii

24 7.24 Result Set of Query 1 (ε<= 0.50) 7.25 Result Set of Query 2 (ε<= 0.50) 7.26 Result Set of Query 3 (ε<= 0.50) 7.27 Result Set of Query 4 (ε<= 0.50) 7.28 Result Set of Query 5 (ε<= 0.50) 7.29 Result Set of Query 6 (ε<= 0.50) 7.30 Result Set of Query 7 (ε<= 0.50) 7.31 Recall versus Average Precision (Shape Approach) xxiv

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