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학술연구/단체지원/교육 등 연구자 활동을 지속하도록 DBpia가 지원하고 있어요.
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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 발행연도
- 2001.12
- 수록면
- 569 - 573 (5page)
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초록· 키워드
오류제보하기
An approximate representation of discrete functions 〈수식기호참조〉 in two variables by a fuzzy system is described. We use the cubic B-splines as fuzzy sets for the input fuzzification and spike functions as the output fuzzy sets. The ordinal number of f<SUB>i</SUB>,<SUB>j</SUB> in the sorted list is taken to be the out put fuzzy set number in the (i,j)th entry of the fuzzy rule table. We show that the fuzzy system is an exact representation of the cubic spline function 〈수식기호참조〉 and that the approximation error S(x,y)-f(x,y) is surprisingly O(h²) when f(x,y) is three times continuously differentiable. We prove that when j(x, y) is a gray scale image, then the fuzzy system is a smoothed representation of the image and the original image can be recovered exactly from its fuzzy system representation when it is a digitized image.
목차
Abstract
1. Introduction
2. An approximate representation of functions of one variable
3. An approximate representation offunctions of two variables
4. Application Examples
5. Conclusion
Acknowledgements
References
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