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研究生:高世恆
研究生(外文):SHI-HUNG GAO
論文名稱:混合式模糊濾波器應用於彩色影像的雜訊處理
論文名稱(外文):A Hybrid Fuzzy Filter for Color Image Mixed-Noise Reduction
指導教授:周賢興
指導教授(外文):HSIEN-HSIN CHOU
學位類別:碩士
校院名稱:國立宜蘭大學
系所名稱:電子工程學系碩士班
學門:工程學門
學類:電資工程學類
論文種類:學術論文
論文出版年:2007
畢業學年度:95
語文別:中文
論文頁數:51
中文關鍵詞:混合式雜訊模糊技術邊緣偵測非線性濾波器
外文關鍵詞:Mixed noiseFuzzy techniquesEdge detectNon-linear filter
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本論文提出一個混合式的模糊向量濾波器於彩色影像的雜訊濾除。它以非線性的處理機制來移除隨機性脈衝雜訊的干擾影響,並以模糊技術的處理架構來進行後續的邊緣偵測和權重平滑,以達到降低混合式雜訊對於影像資料的影響。

模擬向量濾波器的特色在於:(1) 新的脈衝雜訊處理能降低傳統非線性濾波器在處理時造成的影像破壞,(2) 模糊推理引擎可進行雜訊和邊緣判斷,達到有效的邊緣和雜訊偵測,(3) 基於歸屬函數的權重值可以更有效的達到影像平滑和邊緣結構增強。

最後的實驗結果可得知,所提出的模糊向量濾波器能夠平衡雜訊濾除和結構細節的保留。

關鍵詞:混合式雜訊、模糊技術、邊緣偵測、非線性濾波器。
A hybrid fuzzy vector filter is proposed for mixed noise processing in color images. The new framework basically combines a non-fuzzy processing and a fuzzy processing : the former is a non-linear filter devoted to the suppression of noise pulses and uncorrupted data preserving, the latter is a fuzzy weighted linear filter in which combined edge detection for the removal of mixed Gaussian and impulse noise.

The main advantages of the proposed method include: (1) the new impulse noise processing can reduced corrupted by traditional non-linear filter processing, (2) The fuzzy inference engine can achieve the effective noise or edge detects, (3) The proposed weight membership function has more suitable weight value for smoothing and edge enhanced.

Finally, the experimental results show that the fuzzy vector can achieve the balance between noise removal and detail structure preserving.

Keyword: Mixed noise, Fuzzy techniques, Edge detect, on-linear filter.
ACKNOWLEDGEMENT (INCHINESE) II
ABSTRACT (INCHINESE) III
ABSTRACT (IN ENGLISH) IV
CONTENTS VI
LIST OF FIGURES VII
LIST OF TABLES IX
Page
CHAPTER 1 INTRODUCTION 1
1.1 BACKGROUND AND MOTIVATION 1
1.2 DEFINITION OF TRADITIONAL METHOD PROBLEM 1
1.3 THESIS ORGANIZATION 4
CHAPTER 2 RELATED WORKS AND OVERVIEW 5
2.1 NOISE TYPE 6
2.2 IMPULSE NOISE IN COLOR IMAGES 7
2.3 SPACE SIMILARITY MEASURE 8
2.3.1 The distance measures……………………………………………...............8
2.3.2 The directional measures…………………………………………...............9
2.4 VECTOR IMAGE FILTERS 10
2.4.1 Vector median filter (VMF)…………………………………………….....10
2.4.2 Vector directional filter (VDF)………………………………………........11
2.4.3 Directional distance filter (DDF)………………………………………....12
CHAPTER 3 FUZZY TECHNIQUES IN IMAGE PROCESSING 15
3.1 FUZZY SET THEORY 15
3.2 FUZZY RULES 16
3.3 FUZZY IMAGE PROCESSING 18
3.4 NONLINEAR FUZZY FILTERS 19
3.4.1 Data adaptive filter (DAF)……………………………………………......19
3.4.2 Fuzzy vector median filter (FVMF)…………………………..………......20
3.4.2 Fuzzy vector directional filter (FVDF)………….……………………......22
CHAPTER 4 PROPOSED METHODS 23
4.1 MODEL FOR IMPULSIVE NOISE 23
4.4.1 Fuzzy derivative determination…….…………………………………......23
4.4.2 Selection on filtering schemes…….…………………………………........24
4.2 MODEL FOR ADDITIVE NOISE 26
4.4.1 Center weight based on Gaussian membership functions…………….......26
4.4.1 Edge detect method for preserving and smoothing…………………….....28
4.3 MODEL FOR MIXED NOISE 31
CHAPTER 5 EXPERIMENT RESULTS 32
5.1 QUANTITATIVE MEASURE FOR EVALUATION PURPOSE 32
5.2 SIMULATION RESULTS 32
CHAPTER 6 CONCLUSIONS 47
REFERENCES 48
[1]Gonzales; Woods; Prentice Hall , “Digital Image Processing2nd Edition, Prentice Hall”; 2nd edition, January 15, 2002.

[2]Burian, A.; Kuosmanen, P.; ”Tuning the smoothness of the recursive median filter”, Signal Processing, IEEE, Volume 50, Issue 7, July 2002.

[3]Lukac, R.; Smolka, B.; Martin, K.; Plataniotis, K.N.; Venetsanopoulos, A.N., “Vector Filtering for Color Imaging”, IEEE Trans, Signal Processing Magazine, IEEE, Volume 22, Issue 1, Jan 2005.

[4]Jiunn-Lin Wu.; Shi-Jie Wu.; “A Hybrid Vector Filter Color Image Noise Reduction” , Journal of Engineering, National Chung Hsuing University, Vol 17, No. 3.

[5]Schulte, S.; De Witte, V.; Nachtegael, M.; Van Der Weken, D.; Kerre, E.E.; “Fuzzy Two-Step Filter for Impulse Noise Reduction From Color Images” , Image Processing, IEEE Trans, Volume 15, Issue 11, Nov. 2006.

[6]Kostas N. Plataniotis, Anastasios N. Venetsanopoulos: “A taxonomy of similarity operators for color image filtering” . NSIP 1999: 119-123.

[7]Tsakalides, P.; Nikias, C.L.; “Maximum likelihood localization ofsources in noise modeled as a stable process” , Signal Processing Magazine, IEEE, Volume 43, Issue 11, Nov. 1995.

[8]Karakos, D.G.; Trahanias, P.E.; “Generalized multi-channel image-filtering structures” , Image Processing, IEEE, Volume6, Issue 7, July 1997.


[9]Jaakko Astola; Petri Haavisto; Yrjo Neuvo, “Vector Median Filter”, Proceedings of the IEEE, Vol. 78, No. 4, April 1990.

[10]Plataniotis, K.N.; Androutsos, D.; Venetsanopoulos, A.N.; “Vector Directional Filters: An Overview”, Electrical and Computer Engineering, Volume1, 25-28 May 1997.

[11]Trahanias, P.E.; Venetsanopoulos, A.N.; ” Vector directional filters-a new class of multichannel image processing filters” ,Image Processing, IEEE, Volume 2, Issue 4, Oct.

[12]Karakos, D.G.; Trahanias, P.E.; “Combining vector median and vector directional filters: the directional- distance filters” , IEEE Trans , Image Processing, 1995. Proceedings., International Conference on Volume1, 23-26 Oct. 1995.

[13]Lukac, R.; “Another generalisation of vector filters”, Video/Image Processing and Multimedia Communications 4th EURASIP-IEEE Region 8 International Symposium on VIPromCom, 16-19 June 2002 Page (s):273 – 278.

[14]LI-XIN WANG.; A Course in Fuzzy Systems and Control , Prentice Hall, 1997, 424 pages.

[15]Flaig, A.; Arce, G.R.; Barner, K.E.; “Affine order statistic filters: a data-adaptive filtering framework for nonstationary signals”, Signal Processing, Volume 3, 21-24 April 1997.

[16]Yuzhong Shen; Bamer, K.E.; “Fuzzy vector median based surface smoothing in a haptic environment”, Haptic Interfaces for Virtual Environment and Teleoperator Systems, 2003. HAPTICS 2003. 22-23 March 2003.

[17]Kwan, H.K.; Cai, Y.; “Median filtering using fuzzy concept”, Circuits and Systems, 16-18 Aug. 1993.



[18]Basterretxea, K.; Tarela, J.M.; del Campo, I.; “Digital Gaussian membership function circuit for neuro-fuzzy hardware” , Electronics Letters, Volume 42, Issue 1, 5 Jan. 2006.

[19]Van De Ville, D.; Nachtegael, M.; Van der Weken, D.; Kerre, E.E.; Philips, W.; Lemahieu, I.; “Noise reduction by fuzzy image filtering” ,Fuzzy Systems, IEEE Trans, Volume 11, Issue 4, Aug. 2003 Page(s):429 - 436
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