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By Bernadete Ribeiro, Rudolf F. Albrecht, Andrej Dobnikar, David W. Pearson, Nigel C. Steele

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2 Equivalent Limit State Function of Series System There are many types systems, all of which can be categorized into two fundamental systems, i. e. series system and parallel system. Series systems can be thought of by a “weakest link” analogy. If one component fails, the entire system reaches failure. Parallel systems are also known as “redundant system” If one element fails, the system does not necessarily reach failure. In the present paper, series systems are studied [9]. x2 failure Ds G1 G2 safety β Gmm x1 Fig.

References 1. : Efficient General Purpose Image Compression with Binary Tree Predictive Coding. 6, (1997)601-608 2. : Optimal Pre-filtering for Improved Image Interpolation. Systems & Computers, 1-4 Nov. 2, III, (1998)959-963 3. : A New Edge-directed Image Expansion Scheme. Proceedings of the 2001 International Conference on Image Processing, 7-10 Oct. 3, (2001)899 902 4. : On The Comparison of Interpolation Techniques for Robotic Position. , 2003, Vol. 4, (2003)3384 -3389 5. : Adaptive Image Interpolation Based on Local Activity Levels.

An Iterative Hybrid Method for Image Interpolation 13 Decimated data The bilinear result The bi-cubic result ×ρ ×(1-ρ) Hybrid interpolation result Fig. 1. The general approach of the hybrid interpolation method We know the bilinear interpolation expression is f 1 ( x, y ) = a1 x + a 2 y + a3 xy + a 4 (2) The implementation of this method is to utilize four corner points of grid and interpolate linearly along the boundaries of the grid. The 10-term bi-cubic interpolation, which is another widely used technique for image zooming, is given by f 2 ( x, y ) = b1 + b2 x + b3 y + b4 x 2 + b5 xy + b6 y 2 + b7 x 3 + b8 x 2 y + b9 xy 2 + b10 y 3 (3) The bi-cubic method is the lowest order polynomial interpolation technique in the 2-dimension case, which keeps the smoothness of the function and its first derivatives across grid boundaries.

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