Solution of morphological operator relations with invariance boundary conditions

机译：具有不变边界条件的形态算子关系的求解

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Abstract: The present paper formulates increasing, translation-invariant filter design for the subtractive-noise restoration problem in terms of the classical boundary-value-problem paradigm. The boundary-value problem involves both operator relations and invariant (fixed-point) boundary conditions. A design approach is formulated that derives the morphological basis expansion directly from the statement of the boundary-value problem. Solutions are found that possess both minimal bases and minimal structuring elements.!2

机译：摘要：本文针对经典的边值问题范式，提出了用于减噪恢复问题的渐进平移不变滤波器设计。边值问题涉及算子关系和不变（定点）边界条件。提出了一种设计方法，可以直接从边值问题的陈述中得出形态学基础的扩展。发现具有最小基础和最小结构元素的解!! 2

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来源
《Image Algebra and Morphological Image Processing IV》|1993年|p.33-42|共10页
会议地点 San Diego CA(US)
作者
Edward R. Dougherty; Rochester Institute of Technology; Rochester; NY; USA.;
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正文语种 eng
中图分类自动化技术、计算机技术;
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1. ON THE NUMERICAL SOLUTION OF SEMILINEAR PARABOLIC PROBLEMS IN MULTICOMPONENT STRUCTURES WITH VOLTERRA OPERATORS IN THE TRANSMISSION CONDITIONS AND IN THE BOUNDARY CONDITIONS [J] . Kacur J., Vankeer R. Zeitschrift fur Angewandte Mathematik und Mechanik . 1995,第2期

机译：透射和边界条件下含Volterra算子的多组分结构半线性抛物线问题的数值解
2. ON THE NUMERICAL SOLUTION OF SEMILINEAR PARABOLIC PROBLEMS IN MULTICOMPONENT STRUCTURES WITH VOLTERRA OPERATORS IN THE TRANSMISSION CONDITIONS AND IN THE BOUNDARY CONDITIONS [J] . Kacur J., Vankeer R. Zeitschrift fur Angewandte Mathematik und Mechanik . 1995,第2期

机译：透射和边界条件下含Volterra算子的多组分结构半线性抛物线问题的数值解
3. Exponential Dichotomy and Bifurcation Conditions of Solutions of the Hamiltonian Operators Boundary Value Problems in the Hilbert Space [J] . Pokutnyi Oleksandr Mathematics and Statistics . 2018,第1期

机译：Hilbert空间中哈密顿算子边值问题解的指数二分法和分支条件
4. Solution of morphological operator relations with invariance boundary conditions [C] . Edward R. Dougherty Conference on image algebra and morphological image processing . 1993

机译：与不变性边界条件的形态算子关系解决
5. Wentzell boundary conditions in the context of wave equations, Sturm -Liouville operators and Cahn -Hilliard models [D] . Gal, Ciprian G. 2006

机译：波动方程，Sturm -Liouville算子和Cahn -Hilliard模型中的Wentzell边界条件
6. Boundary conditions for free A-DNA in solution and the relation of local to global DNA structures at reduced water activity [O] . Dietmar Porschke -1

机译：溶液中游离A-DNA的边界条件以及水活度降低时局部DNA与全局DNA结构的关系
7. On The Invariance of the Essential Spectrum under a Change of Boundary Conditions of Partial Differential Boundary Operators [O] . Wolf František 1959

机译：偏微分边界算子边界条件变化下基本谱的不变性

Solution of morphological operator relations with invariance boundary conditions

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