Thesis (PDF) - Signal & Image Processing Lab

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Chapter 7 Conclusions and further research 7.1 Conclusions In this work, we present a general framework for producing new morphological operators that are compatible to given tree representations. This framework was shown to be useful by presenting an example of a new tree representation, the Extrema Wa- tershed Tree, with the set of morphological operators based on this tree, and giving a number of applications examples. Those examples were pre-processing for OCR, noise filtering and initial step for dust and scratch removal. EWT-based filtering per- forms well on tasks suitable for classical morphological filtering. When self-duality is required, EWT-based filtering achieves better filtering results as compared to other filtering techniques, including classical morphological filtering. Moreover, a study of the trench problem was performed, and a number of possible solutions were presented, along with finding a potential in using those trenches for segmentation purposes. 7.2 Further research topics A number of further research directions can be stated on the basis of this work: • The developed general framework opens a gate for many possible sets of new morphological operators. Each set is based on a specific tree representation. Therefore, finding and exploring additional tree representations can bring new 112
7.2. FURTHER RESEARCH TOPICS 113 useful operators. Moreover, one may look for more applications for the additional tree representations and for the developed one. For instance, further exploration of segmentation capability using the trench phenomenon in EWT is needed. • The current definition of tree transform does not assure the existence of an image semilattice. Further research is needed in order to find necessary conditions for tree representation, so that the inf-semilattice structure is carried from the tree- representation domain to the image domain. • Although a number of optimizations were done to the developed algorithms, they are still not suited for real time implementations. Therefore, improvements of the efficiency of the presented algorithms can be performed.
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SELF-DUAL MORPHOLOGICAL OPERATORS B
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The Research Thesis was done under
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iv CONTENTS 3 Implementation of BTV
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List of Tables 2.1 The BTV transfor
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viii LIST OF FIGURES 2.9 An example
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x LIST OF FIGURES 4.17 A Simba imag
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xii LIST OF FIGURES 6.20 A Lena ima
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Abstract This research addresses a
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4 List of Abbreviations and Symbols
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6 CHAPTER 1. INTRODUCTION the image
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8 CHAPTER 1. INTRODUCTION disadvant
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10 CHAPTER 1. INTRODUCTION 3. A gen
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Chapter 2 Theoretical Background 2.
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14 CHAPTER 2. THEORETICAL BACKGROUN
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38 CHAPTER 3. IMPLEMENTATION OF BTV
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Chapter 4 The “trench” problem
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46CHAPTER 4. THE “TRENCH” PROBL
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Page 76 and 77: Chapter 5 Tree Semilattices In this
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Page 130 and 131: Bibliography [1] J. Serra, Image An
Page 132: 118 BIBLIOGRAPHY [21] Renato Keshet
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