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ISBN 10: 3540219828
ISBN 13: 978-3540219828
Author: Charles Kervrann
A novel adaptive smoothing approach is proposed for image smoothing and discontinuities preservation. The method is based on a locally piecewise constant modeling of the image with an adaptive choice of a window around each pixel. The adaptive smoothing technique associates with each pixel the weighted sum of data points within the window. We describe a statistical method for choosing the optimal window size, in a manner that varies at each pixel, with an adaptive choice of weights for every pair of pixels in the window. We further investigate how the I-divergence could be used to stop the algorithm. It is worth noting the proposed technique is data-driven and fully adaptive. Simulation results show that our algorithm yields promising smoothing results on a variety of real images.
An Adaptive Window Approach for Image Smoothing and Structures Preserving 1st Table of contents:
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Introduction
- 1.1 Background and Motivation
- 1.2 Challenges in Image Smoothing and Denoising
- 1.3 Importance of Structure Preservation in Image Processing
- 1.4 Objectives and Contributions of the Paper
- 1.5 Organization of the Paper
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Related Work
- 2.1 Traditional Image Smoothing Techniques
- 2.2 Edge-Preserving Filters and Methods
- 2.3 Adaptive Filtering Approaches
- 2.4 Multi-Scale and Context-Aware Image Processing
- 2.5 Limitations of Existing Smoothing and Denoising Techniques
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Mathematical Background
- 3.1 Fundamentals of Image Smoothing
- 3.2 Gaussian and Non-Gaussian Smoothing Filters
- 3.3 Edge Detection and Preservation Techniques
- 3.4 Adaptive Filtering and Window Size Selection
- 3.5 Image Structures: Edges, Textures, and Other Features
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The Adaptive Window Approach
- 4.1 Overview of the Adaptive Window Method
- 4.2 Determining the Optimal Window Size for Smoothing
- 4.3 Mechanisms for Preserving Structures During Smoothing
- 4.4 Adaptive Weighting Strategies Based on Local Image Properties
- 4.5 Relationship Between Window Size and Image Features
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Algorithm Design and Implementation
- 5.1 Overview of the Proposed Algorithm for Image Smoothing
- 5.2 Steps for Adaptive Window Selection and Smoothing
- 5.3 Incorporating Edge-Preservation into the Smoothing Process
- 5.4 Computational Efficiency and Real-Time Implementation
- 5.5 Challenges in Handling Diverse Image Content
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Experimental Setup and Evaluation
- 6.1 Datasets Used for Testing the Smoothing Algorithm
- 6.2 Evaluation Metrics: Quality, Preservation of Structures, and Smoothing Efficiency
- 6.3 Comparative Methods for Smoothing and Structure Preservation
- 6.4 Cross-Validation and Experimental Protocols
- 6.5 Example Images and Ground Truth for Evaluation
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Results and Discussion
- 7.1 Visual Examples of Image Smoothing and Structure Preservation
- 7.2 Quantitative Evaluation of Smoothing Performance
- 7.3 Impact of the Adaptive Window Size on Different Image Types
- 7.4 Comparison with Traditional and Advanced Smoothing Methods
- 7.5 Discussion of Edge Preservation and Fine Detail Retention
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Applications of the Adaptive Window Approach
- 8.1 Noise Reduction in Medical Imaging
- 8.2 Image Denoising for Photography and Computer Vision
- 8.3 Real-Time Smoothing for Video and Motion Analysis
- 8.4 Texture and Edge Preservation in Image Compression
- 8.5 Applications in 3D Reconstruction and Surface Processing
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Challenges and Future Directions
- 9.1 Handling Complex and Noisy Data
- 9.2 Real-Time Processing for Large-Scale Images and Videos
- 9.3 Generalization to Different Types of Image Structures
- 9.4 Integration with Deep Learning and Neural Networks for Smoothing
- 9.5 Future Research on Adaptive Filtering and Structure-Preserving Techniques
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Conclusion
- 10.1 Summary of Key Contributions and Findings
- 10.2 Practical Implications of the Adaptive Window Approach
- 10.3 Limitations of the Current Approach
- 10.4 Future Work and Potential Improvements
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