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- W2373889404 abstract "As geometric moment invariants are independent of scaling, translation and rotation, so they are widely used in image processing, pattern recognition, object orientation determination and low level computer vision. The main difficult in application of moment invariants is computation of the moment invariants: calculating the moments directly is too expensive in computation cost. There are also many algorithm for computation moments, but most of them is for binary image. In this paper, a fast algorithm for gray level image is proposed. The algorithm based on the formula ∑ f_1(n)g_1(n)=∑ f_2(n)g_2(n), which is firstly proved by the author, called differental and recurrence sum formula. f_1(n),g_1(n),f_2(n),g_2(n) are all discrete function array. The author considers moments factor as f_1(n) and an image array as g_1(n). f_2(n) is obtained by differental f_1(n), while g_2(n) is obtained by recurrence sum g_1(n). The author computes the right of the formula for the geometric moments instead of computation the left of the formula. As the value of f_2(n) element is zero except the f_2(n) element in the border of the array, so the computation complexity is reduced significantly. It is been noticed that the value of array f_2(n) element which is not zero is 1 mostly, so multiplication is not needed now. The paper also proposes the steps of computation moments based the algorithm and the programming. The test is also taken. It shows that the algorithm is suitable for any gray level image and is not need any multiplication. The result is also accurate." @default.
- W2373889404 created "2016-06-24" @default.
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- W2373889404 date "2005-01-01" @default.
- W2373889404 modified "2023-09-23" @default.
- W2373889404 title "A New Algorithm of Fast Computing Geometric Moments for Gray Level Image Based on Differential Moments Factor" @default.
- W2373889404 hasPublicationYear "2005" @default.
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