Beamlet变换与多尺度线特征提取

beamlet变换是Donoho提出的一种多尺度分析的有效工具.本文提出一种离散beamlet变换的快速算法,利用二进方块中线段的对称、平行等性质减少了求离散beamlet基上象素点坐标的计算量.对利用复杂度惩罚能量进行多尺度线特征提取的方法做了改进,建立了二进方块最大beamlet能量的二尺度关系,并提出一种阈值化最大beamlet能量方法,避免了惩罚因子选取的困难,使线特征提取结果更清晰.

Beamlet Transform and Multiscale Linear Feature Extraction

Beamlet transform is an efficient tool presented by Donoho for multiscale analysis. A fast algorithm for discrete beamlet transform was proposed which reduced the complexity for computing the pixel coordinates on beamlets. This paper improved the complexity-penalized energy based multiscale linear features extraction method. It established the two-scale relationship of the maximal beamlet energy in the dyadic square, and presented a threshold-processed maximal beamlet energy algorithm which could avoid the problem of selecting penalty factor. Experimental results prove the efficiency of the method proposed.