具有附益性的形态塔式变换及其应用

具有附益性的形态塔式变换及其应用 The Morphological Adjunction Pyramid Transforms and Applications 段汕 1 2 3 first-author 秦前清 1 2 3 武汉大学测绘遥感信息工程国家重点实验室,湖北,武汉,430072 武汉大学测绘遥感信息工程国家重点实验室,湖北,武汉,430072 中南民族大学计算机科学学院 中南民族大学计算机科学学院 ,湖北,武汉,430074 ,湖北,武汉,430074 在塔式变换的基础上,将具有附益性的形态算子作为塔式变换的分析与综合算子,在完备格上建立了具有附益性的形态塔式变换的表示定理,其重要意义在于将具有描述图像几何特征的形态算子理论溶入到多分辨技术中,从而获得了一种构造非线性塔式变换的基本途径.从理论上说,本文将已有结论进行了推广和扩展,得出了多尺度形态分析及综合算子的构造性表示方法;从应用上说,为图像处理提供了一种具有多尺度功能及保形特征的形态变换方法. In this paper, representation theory of morphological adjunction pyramids transform is established in complete lattice, which based on the theories of mathematical morphology and the axiomatic framework of pyramids transform, and using the adjunction operators as the analysis and synthesis operator. It is significant that this work combine the theory of morphological operators, which having the function of describing the geometry feature, with the multisolution technology, and obtain a way to construct nonlinear pyramids transform. The method proposed in this paper generalize and extend the consequence studied in other literature, and the representation theory of morphological adjunction pyramids transform take on more universality format in the abstract, it also provide a multisolution, shape keeping morphological transform in application. 多分辨分析 塔式变换 附益算子 完备格 塔式条件 形态附益塔 multisolution analysis pyramid transform adjunction operators complete lattice pyramid condition morphological adjunction pyramids TP391.41 武汉大学创新基金资助项目（904270072） 2004-01-01 2021-04-01 1