INTRODUCTION ICTS2005 The Proceeding
1. INTRODUCTION
Mathematical morphology treats an effect on an image as an effect on the shape and size of objects contained in the image. Mathematical morphology is a mathematical system to handle such effects quantitatively based on set operations [1–5].The word stem “morpho-” originates in a Greek word meaning “shape,” and it appears in the word “morphing,” which is a technique of modifying an image into another image smoothly. The founders of mathematical morphology, G. Math´eron and J. Serra, were researchers of l ´ Ecole Nationale Sup´erieure des Mines de Paris in France, and had an idea of mathematical morphology as a method of evaluating geometrical characteristics of minerals in ores [6]. Math´eron is also the founder of the random closed set theory, which is a fundamental theory of treating random shapes, and kriging, which is a statistical method of estimating a spatial distribution of mineral deposits from trial diggings. Mathematical morphology has relationships to these theories and has been developed as a theoretical framework of treating spatial shapes and sizes of objects. The International Symposium on Mathematical Morphology ISMM, which is the topical international symposium focusing on mathematical morphology only, has been organized almost every two years, and its seventh symposium was held in April 2005 in Paris as a cerebration of 40 years anniversary of mathematical morphology [7]. The paper explains the framework of mathematical morphology, especially opening, which is the fundamental operation of describing operations on shapes and sizes of objects quantitatively, in Sec. 2. Section 3. proves “filter theorem,” which guarantees that all practical image processing filters can be constructed by combinations of morphological operations. Examples of expressing median filters and average filters by combinations of morphological operations are also shown in this section. Section 4. explains granulometry, which is a method of measuring the distribution of sizes of objects in an image, and shows an application to texture analysis by the author.2. BASIC OPERATIONS OF MATHEMATICAL MORPHOLOGY
Parts
» INTRODUCTION ICTS2005 The Proceeding
» Opening Fundamental Operations of Mathematical Morphology
» Morphological filter Filter theorem
» Granulometry and size distribution
» PGPC texture model and estimation of the optimal structuring element: The PGPC
» CONCLUSIONS ICTS2005 The Proceeding
» Non-ergodicity parameters RESULTS AND DISCUSSIONS 1 Partial structure factors and
» SIMULATIONS CONCLUSION ICTS2005 The Proceeding
» IMAGE RECONSTRUCTION SYSTEM DESIGN
» RESULT CONCLUSION ICTS2005 The Proceeding
» MULTI-RESOLUTION HISTOGRAM TECHNIQUE DATA
» VALIDATION STRATEGY RESULTS AND DISCUSSION
» CONCLUSION ICTS2005 The Proceeding
» INTRODUCTION DISTILATION COLUMN AND ARTIFICIAL NEURAL NETWORK
» Using Temperature Correlation Using Flow Rate Correlation
» INTRODUCTION DETECTION OF SINGLE TREE FELLING WITH SOFT
» Supervised Fuzzy c-means Method
» Neural Network classification METHOD 1. Datasets
» Neural Network Classification Results
» Comparison of Classification Results
» DISCUSSIONS ICTS2005 The Proceeding
» CONCLUSION ACKNOWLEDGEMENT ICTS2005 The Proceeding
» Caching Access List BANDWIDTH MANAGEMENT IMPLEMENTATION
» Rate Limiting BANDWIDTH MANAGEMENT IMPLEMENTATION
» BANDWIDTH MANAGEMENT CONCEPTS RESULT
» The Architecture of UML Elements Model Element
» Diagram Element Editing SYSTEM ARCHITECTURE
» Server Application Architecture Undo
» INTRODUCTION IMPLEMENTATION TESTING ICTS2005 The Proceeding
» INTRODUCTION E-PURSE ICTS2005 The Proceeding
» Interfaces Verification Tool POS – Smart Card
» MULTI AGENT SYSTEM MAS A WEIGHTED-TREE SIMILARITY ALGORITHMS
» RESULTS ICTS2005 The Proceeding
» Facial Animation Morphing and Deformation Cross Dissolve
» Feature Morphing Mesh Morphing Text-to-Speech TTS Basic Block
» Text-to-Video Algorithm Text-To-Video Stake And Desain
» Suggestion CONCLUSION AND SUGGESTION 1 Conclusion
» The Concept SHARE-IT SYSTEM ARCHITECTURE
» SHARING SCENARIO CONCLUSION ICTS2005 The Proceeding
» The Bayesian Network Model and Modified Bayesian Optimization
» Designs and Implementation SCHEDULING MODEL AND IMPLEMENTATION
» Comparison Proposed Schedule with Real Schedule
» Face-to-Face Technique Long Distance Technique
» Scenario to motivate. Context_Selection Applikasi.
» INTRODUCTION ARCHITECTURE. CONCLUSION. ICTS2005 The Proceeding
» SUGGESTION ICTS2005 The Proceeding
» Data Flow Database Structure
» EXPERIMENTAL RESULT ICTS2005 The Proceeding
» Investment Stock Prototyping System Design
» Database Model Stock Valuation
» INTRODUCTION METHODOLOGY ICTS2005 The Proceeding
» Buffer Overrun Cryptography Random Numbers
» Anti-Tampering Error Handling Injection Flaws
» Encapsulate Field Restructuring Arrays
» Generating Secure Random Number Storing Deleting Passwords
» Smart Serialization Message Digest
» Convert Message with Private Key to Public Key
» INTRODUCTION CURRENT STATUS ICTS2005 The Proceeding
» INTRODUCTION PROPOSED SIMULATION MODEL
» PARALLELIZATION STRATEGY ICTS2005 The Proceeding
» EXPERIMENTS AND DISCUSSION CONCLUSION
» INTRODUCTION RESULTS AND DISCUSSION
» EXPERIMENTAL ICTS2005 The Proceeding
» RESULT AND DISCUSSION ICTS2005 The Proceeding
» Color segmentation SYSTEM CONFIGURATION
» FEATURE CHARACTERISTICS AND GENERAL RULE
» EXPERIMENTAL RESULT CONCLUSION ICTS2005 The Proceeding
» INTRODUCTION REVIEW OF LITERATURE
» Social Economics Impact. Restructuring Impact
» Manager Application Mobile Agent Generator MAG Mobile Agents MAs
» SNMP Table Polling SNMP Table Filtering
» BREAST CARCINOMA TUMOR ICTS2005 The Proceeding
» WATERSHED ALGORITHM METHODS ICTS2005 The Proceeding
» RESULT AND DISCUSION ICTS2005 The Proceeding
» FADED INFORMATION FIELD ARCHITECTURE
» ALGORITHMS TO CHOOSE NODES TO CREATE THE FADED
» SYSTEM SIMULATIONS ICTS2005 The Proceeding
» Model and Teory MODEL, TEORY, DESIGN, IMPLEMENTATION AND
» INTRODUCTION ANALYSIS AND RESULT
» INTRODUCTION A SIMPLE MODEL OF THE QUEUING SYSTEM
» SIMULATION RESULTS DISCUSSION ICTS2005 The Proceeding
» CONCLUSION INTRODUCTION ICTS2005 The Proceeding
» Dialog Processing ADDING NONVERBAL BEHAVIOUR
» Emotion Expression Experiment ADDING NONVERBAL BEHAVIOUR
» NATURAL LANGUAGE PROCESSING EMOTION REASONING
» Fuzzy Logic Control FLC System Planning
» Digital To Analog Converter DAC Motor Driver Position Sensor Display Unit
» INTRODUCTION CONCLUSION ICTS2005 The Proceeding
» Variable-Centered Rule Structure VARIABLE-CENTERED INTELLIGENT RULE SYSTEM
» Knowledge Refinement VARIABLE-CENTERED INTELLIGENT RULE SYSTEM
» Knowledge Building VARIABLE-CENTERED INTELLIGENT RULE SYSTEM
» Knowledge Inferencing VARIABLE-CENTERED INTELLIGENT RULE SYSTEM
» INTRODUCTION BASIC CONCEPTS OF FUZZY SETS
» Calculation of the Fitness Degree
» ESTIMATING MULTIPLE NULL VALUES IN RELATIONAL
» Chen’s [6] Result This Improving Method’s Result
» The Fuzzy Set HISTOGRAM THRESHOLDING
» Fuzzy Set Similarity HISTOGRAM THRESHOLDING
» EXPERIMENTAL RESULTS ICTS2005 The Proceeding
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