Copyright © 2005 Elsevier Ltd All rights reserved.
Optimal threshold selection algorithm in edge detection based on wavelet transform
Received 30 March 2003;
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Abstract
This paper presents an optimal threshold selection algorithm, which selects the de-noising threshold according to the turbulent degree of detected edge points, in edge detection based on wavelet transform. First of all, adjacent domain division algorithm (ADDA) and parabola fitting algorithm (PFA) are used to separate edge curves from each other after wavelet transform. Then, the entropies, corresponding to different possible thresholds are computed according to the number and length of all the edge curves detected above. The threshold, which giving the minimum entropy, is selected as the optimal one to filter the noises. The experimental results show that our method can get better threshold than other ones, in a subjective view.
Keywords: Optimal threshold selection; Edge detection; Wavelet transform; Minimum entropy
Article Outline
- 1. Introduction
- 2. Basic idea
- 3. Automatic selection of optimal threshold
- 3.1. Definition of entropy
- 3.2. Adjacent domain division algorithm
- 3.3. Parabola fitting algorithm
- 3.4. Optimal threshold selection algorithm
- 4. Result of experiments
- 5. Conclusion
- Appendix A. Appendix
- A.1. Some data structures
- A.1.1. Data structure for edge point
- A.1.2. Data structure for fitting curve
- A.1.3. Data structure for entropy
- A.2. Code of our algorithms
- A.2.1. Code of ADDA
- A.2.2. Code of PFA
- A.2.3. Code of the whole algorithm
- References
- Vitae






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