基于阴影变换的动态灰值形态算子的研究

基于阴影变换和表面算子的理论,系统地研究了在空间变化(SV)即动态的二值形态学理论的基础上建立动态灰值形态算子的方法,证明了阴影集的相关结论,运用阴影变换和表面算子表示了SV灰值形态开、闭算子,并推导出腐蚀、膨胀以及开算子这3种算子所具有的代数表示形式,研究了腐蚀、膨胀、开、闭这4种算子的性质.

Research on the Spatially-Variant Gray-Scale Morphological Operators on the Basis of Umbra Transform

Based on umbra transform and surface operator theory , this paper systematically studies the building way of spatially-variant gray-scale morphological operators from the theory of spatially-variant binary morphology .It proves relevant conclusions about umbra sets , presents the spatially-variant gray-scale morphological opening and closing operators through umbra transform and surface operator , and demonstrates three operators （ erosion, dilation, opening ） with their corresponding algebraic forms , studies the properties of erosion , dilation, opening and closing operators .