中南民族大学学报(自然科学版)
中南民族大學學報(自然科學版)
중남민족대학학보(자연과학판)
JOURNAL OF SOUTH-CENTRAL UNIVERSITY FOR NATIONALITIES(NATURAL SCIENCE EDITION)
2014年
3期
115-120
,共6页
段汕%冯光琼%赵淑珍%谢英华
段汕%馮光瓊%趙淑珍%謝英華
단산%풍광경%조숙진%사영화
SV的二值形态学理论%阴影变换与表面算子%SV的灰值形态算子
SV的二值形態學理論%陰影變換與錶麵算子%SV的灰值形態算子
SV적이치형태학이론%음영변환여표면산자%SV적회치형태산자
theory of spatially-variant binary morphology%umbra transform and surface operator%spatially-variant gray-scale morphological operator
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。
基于陰影變換和錶麵算子的理論,繫統地研究瞭在空間變化( SV )即動態的二值形態學理論的基礎上建立動態灰值形態算子的方法,證明瞭陰影集的相關結論,運用陰影變換和錶麵算子錶示瞭SV灰值形態開、閉算子,併推導齣腐蝕、膨脹以及開算子這3種算子所具有的代數錶示形式,研究瞭腐蝕、膨脹、開、閉這4種算子的性質。
기우음영변환화표면산자적이론,계통지연구료재공간변화( SV )즉동태적이치형태학이론적기출상건립동태회치형태산자적방법,증명료음영집적상관결론,운용음영변환화표면산자표시료SV회치형태개、폐산자,병추도출부식、팽창이급개산자저3충산자소구유적대수표시형식,연구료부식、팽창、개、폐저4충산자적성질。
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 .