关键词: 二维经验模态分解, 边界效应, 固态模函数

Abstract: Restraint of border effect is a key issue in bi-dimensional empirical mode decomposition.The existing algorithms which are used to restrain border effect are based on one-dimensional empirical mode decomposition with the fundamental thought of signal extension.Therefore，they are not good ways for carrying out border restraint on bi-dimensional signals.In this paper，a new method which restrains border effect has been proposed in bi-dimensional image decomposition.This new method carries out extremal interpolation on border point according to the symmetrical principle，the partial principle and the Newton interpolation principle.Thus we can gain some border points extremal which are further used for linearity cubic interpolation to produce the maximum and the minimum for every border pixel.This new method for restraining border has been applyed to bi-dimensional empirical mode decomposition with a good experimental effect.

Key words: BEMD（Bi-dimensional Empirical Mode Decomposition）, border effect, IMF（Intrinsic Mode Function）