摘要
根据灰度图像的二维直方图的特点,在已有的二维Arnold混沌系统的基础上,结合Bernstein形式的Bézier曲线的生成算法,给出了一种基于生成Bézier曲线的de Casteljau算法构造伪随机序列的方法,实验结果表明生成的二维序列不仅具有伪随机性,而且还具有在近似圆盘中随机分布的性质,这使得该伪随机序列更适合对灰度图像的二维灰度直方图进行基于混沌优化的图像分割.在此基础上,给出了一种基于混沌优化的二维最大熵的灰度图像分割算法,该算法对于含噪图像取得了良好的分割效果.
In order to generate a chaotic sequence can be used to the optimization processing of image segmentation method in two-dimension gray histogram, an extended chaotic sequence generating method is presented based on Arnold chaotic system and Bernstein form Bezier curve generating algorithm. Simulation results show that the sequence generated by using this method is pseudorandom. The most important characteristic of this chaotic sequence is that its distribution is approximately inside a disc, this characteristic indicates that the sequences have the advantage of the Arnold chaotic sequences in image segmenting in two-dimension gray histogram. As an application, a two-dimension maximum entropy image segmentation method is presented based on chaotic optimization using the chaotic sequences. Simulation results show that our method has better segmentation effect and lower computation time than the original maximum entropy method.
出处
《数学的实践与认识》
CSCD
北大核心
2009年第18期36-43,共8页
Mathematics in Practice and Theory
基金
国家自然科学基金(60572133)
陕西省自然科学基金(SJ08F24)
关键词
混沌序列
混沌优化
最大熵
图像分割
chaotic sequence
chaotic optimization
maximum entropy
image segmentation
