Beamlet Transform and Multiscale Linear Feature Extraction

YANG Ming; YIN Yong; PENG Yu-hua; ZHOU Xin-hong

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Beamlet Transform and Multiscale Linear Feature Extraction

更新时间：2025-07-16

- Beamlet Transform and Multiscale Linear Feature Extraction
- Acta Electronica Sinica Vol. 35, Issue 1, Pages: 100-103(2007)
- 作者机构：
  
  1. 山东大学信息科学与工程学院,山东,济南,250100
  2. 山东省肿瘤医院,山东,济南,250117
  3. 山东大学信息科学与工程学院山东济南,250100
  5. 山东省肿瘤医院山东济南,250117
- 作者简介：
- 基金信息：
- DOI：
  CLC： TN911.73
- Published：2007
- 稿件说明：
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YANG Ming, YIN Yong, PENG Yu-hua, et al. Beamlet Transform and Multiscale Linear Feature Extraction[J]. Acta Electronica Sinica, 2007, 35(1): 100-103.
DOI：

YANG Ming, YIN Yong, PENG Yu-hua, et al. Beamlet Transform and Multiscale Linear Feature Extraction[J]. Acta Electronica Sinica, 2007, 35(1): 100-103. DOI：

摘要

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.

Abstract

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.

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