段 汕,樊金东.基于旋转变换的灰值形态算子[J].中南民族大学学报自然科学版,2017,(2):138-142
基于旋转变换的灰值形态算子
Gray-Value Morphological Operators Based on Rotation Transform
  
DOI:
中文关键词: 灰值旋转形态算子  本影变换  表面算子  二值旋转形态算子
英文关键词: gray-value rotation morphological transform  umbra transform  surface operator  binary rotation morphological transform
基金项目:国家自然科学基金资助项目(61374085)
作者单位
段 汕1,樊金东2 中南民族大学 数学与统计学学院武汉 430074 
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中文摘要:
      在二值旋转形态算子研究的基础上,研究了基于旋转变换的灰值形态算子的相关理论及方法,通过引入本影集合上的点积运算和灰值旋转变换等方法,将本影变换与表面算子应用于构建灰值旋转形态算子,提出并建立了基于空间旋转变换的灰值腐蚀、膨胀及开、闭算子,论证了一系列重要的性质,这些结论充实了基于旋转变换的形态学理论.
英文摘要:
      Based on the binary rotation morphological operators, the research on related theory and method of the grayvalue morphological operator with rotation transform was proposed. By introducing the dot product operation of the umbra set and gray-value rotation transform for gray-value images, umbra transform and surface operator were applied to build grayvalue rotation morphological transform, including erosion, dilation, opening and closing operator. The main structures and properties were considered, and the methods for solving them within the framework of rotation morphological operator were described,some important properties were obtained and they enriched the rotation morphology.
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