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In this paper, from the geometric flow and the horizon model, the flow integral and the edge expression in the scanning band are analyzed. Secondly, the deficiency of the discrete binary wavelet basis function is constructed, and the standard orthogonal basis of the Bandelet transform is constructed. Finally, And the approximation error formula of the estimated edge and the real edge is constructed. The results show that the optimal frame can be obtained on the edge of image.

Research on the Approximation Characteristics of Bandelet Transform