通信学报2016，Vol.37Issue(10)：56-64,9.DOI:10.11959/j.issn.1000-436x.2016196
基于多项式一致逼近的多阈值图像分割算法
Multi-threshold algorithm about image segmentation based on polynomial uniform approximation
摘要
Abstract
Aiming at those shortcomings of previous multi-threshold image segmentation algorithm such as large com-plexity and instability caused by the image histogram glitch interference, a new multi-threshold image segmentation algo-rithm was proposed using Bernstein polynomial to uniformly approximate histogram curve. First, according to the ap-proximation theory of Weierstrass to construct Bernstein polynomial for the histogram curve, then more difficult peak value calculating of the histogram was reduced to the Bernstein polynomial extremal generating, that was exported easily by the first and second derivative of Bernstein polynomial function, and finally obtain the actual peak value of the image histogram by picking up these extremes and polar values and filtering through classification algorithm, and finish multi-threshold image segmentation. Experimental results show that the algorithm is insensitive for histogram glitch in-terference, the overall is stable, the redundant computation and time complexity are smaller, with less time and high effi-ciency, the approximate performance and segmentation effect are better.关键词
图像分割/图像直方图/阈值/一致逼近/伯恩斯坦多项式/距离空间Key words
image segmentation/image histogram/threshold/uniform approximation/Bernstein polynomial/distance space分类
信息技术与安全科学引用本文复制引用
卫颜俊,冯博琴,伍卫国..基于多项式一致逼近的多阈值图像分割算法[J].通信学报,2016,37(10):56-64,9.基金项目
国家自然科学基金资助项目（No.91330117）；国家高技术研究发展计划（“863”计划）基金资助项目（No.2012AA01A306） Foundation Items：The National Natural Science Foundation of China (No.91330117), The National High Technology Research and Development Program of China (863 Program)(No.2012AA01A306) （No.91330117）
