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This paper presents a method of deriving moment invariants under similarity transformation. The invariants sets are algebraically independent and complete. The method can be adopted for arbitrary dimension and order. This paper also presents some explicit formulas for computing invariant sets׳ dimension, which reveals how the number of invariants increases with moments׳ order and dimension elevating. [ABSTRACT FROM AUTHOR]

This paper proposed an edge detection scheme which is deduced from Fresnel diffraction. Analysis in this paper shows that Fresnel convolution kernel function performs well on edge enhancement when images are transformed into complex functions. Due to its mathematical complexity, the method is simplified into a linear convolution filter. The new edge detector is designed based on the simplified linear filter. Experimental results indicate that the new detector gives quantitative results equal to the Canny detector while it is more simple to be implemented. [Copyright &y& Elsevier]