Efficient Design Strategies for the Optimal Binary Digital Morphological Filter: Probabilities, Constraints, and Structuring-Element Libraries

Author(s):  
Edward R. Dougherty ◽  
Robert P. Loce
Author(s):  
Zhigang Li ◽  
Ian W. McKeague ◽  
Lambert H. Lumey

AbstractSibling studies have become increasingly popular because they provide better control over confounding by unmeasured family-level risk factors than can be obtained in standard cohort studies. However, little attention has been devoted to the development of efficient design strategies for sibling studies in terms of optimizing power. We here address this issue in commonly encountered types of sibling studies, allowing for continuous and binary outcomes and varying numbers of exposed and unexposed siblings. For continuous outcomes, we show that in families with sibling pairs, optimal study power is obtained by recruiting discordant (exposed–control) pairs of siblings. More generally, balancing the exposure status within each family as evenly as possible is shown to be optimal. For binary outcomes, we elucidate how the optimal strategy depends on the variation of the binary response; as the within-family correlation increases, the optimal strategy tends toward only recruiting discordant sibling pairs (as in the case of continuous outcomes). R code for obtaining the optimal strategies is included.


2018 ◽  
Vol 2018 ◽  
pp. 1-12 ◽  
Author(s):  
Xiaohang Zhou ◽  
Deshan Shan ◽  
Qiao Li

In the ensemble empirical mode decomposition (EEMD) algorithm, different realizations of white noise are added to the original signal as dyadic filter banks to overcome the mode mixing problems of empirical mode decomposition (EMD). However, not all the components in white noise are necessary, and the superfluous components will introduce additional mode mixing problems. To address this problem, morphological filter-assisted ensemble empirical mode decomposition (MF-EEMD) was proposed in this paper. First, a new method for determining the structuring element shape and size was proposed to improve the adaptive ability of morphological filter (MF). Then, the adaptive MF was introduced into EMD to remove the superfluous white noise components to improve the decomposition results. Based on the contributions of MF in a single EMD process, the MF-EEMD was proposed by combining EEMD with MF to suppress the mode mixing problems. Finally, an analog signal and a measured signal were used to verify the feasibility of MF-EEMD. The results show that MF-EEMD significantly mitigates the mode mixing problems and achieves a higher decomposition efficiency compared to that of EEMD.


2021 ◽  
Author(s):  
Daniel Reta ◽  
Jon G. C. Kragskow ◽  
Nicholas Chilton

<p>Organometallic molecules based on [Dy(Cp<sup>R</sup>)<sub>2</sub>]<sup>+</sup> cations have emerged as clear front-runners in the search for high-temperature single-molecule magnets. However, despite a growing family of structurally-similar molecules, these molecules show significant variations in their magnetic properties, demonstrating the importance of understanding magneto-structural relationships towards developing more efficient design strategies. Here we refine our <i>ab initio</i> spin dynamics methodology and show that it is capable of quantitative prediction of relative relaxation rates in the Orbach region. Applying it to all reported [Dy(Cp<sup>R</sup>)<sub>2</sub>]<sup>+</sup> cations allows us to tease out differences in their relaxation dynamics, highlighting that the main discriminant is the magnitude of the crystal field splitting. We subsequently employ the method to predict relaxation rates for a series of hypothetical organometallic sandwich compounds, revealing an upper limit to the effective barrier to magnetic relaxation of around 2200 K, which has been reached. However, we show that further improvements to single-molecule magnets can be made by moving vibrational modes off-resonance with electronic excitations.</p>


Geophysics ◽  
2021 ◽  
pp. 1-51
Author(s):  
Chuangjian Li ◽  
Jingtao Zhao ◽  
Suping Peng ◽  
Yanxin Zhou

Diffraction imaging is an important technique for high-resolution imaging because of the close relationship between diffractions and small-scale discontinuities. Therefore, we propose a diffraction imaging method using a mathematical morphological filter (MMF). In a common-image gather (CIG), reflections have an evident energy band associated with the Fresnel zone and stationary point, whereas diffractions can be observed in a wide illumination direction and therefore has no energy band. Based on these phenomena, we analyze the amplitude distributions of the diffractions and reflections, and propose a time-varying structuring element (SE) in the MMF. Based on the time-varying SE, the proposed method can effectively suppress reflections and has the advantage of automatically preserving the diffractions energy near the stationary point. Numerical and field experiments demonstrate the efficient performance of the proposed method in imaging diffractions and obtaining high-resolution information.


Author(s):  
Muammer Yaman

Building façades play a major role in improving the effects of outdoor environment conditions on indoor comfort conditions. Façades, which are designed as energy efficiency, are created according to different performance parameters and can offer solutions appropriate for the climatic condition. This paper aims to describe and highlight the role of design and application determinants in building façade types according to energy efficiency in different climatic classes. For this purpose, 12 building façade types in different climate types were investigated and analyzed by a purposive or judgmental sampling technique. Façade analyses have been carried out by considering double skin, adaptive, photovoltaic panel, vertical green, media and structural membrane façades created as a result of developing technological opportunities. Balance of heat loss and gain, preventing overheating, providing daylight and natural ventilation, active and mechanical solutions for climate-sensitive, noise control, recycling and evaluating the initial investment cost are presented. With examinations, it has been determined that different façade systems are innovative construction systems in creating energy efficiency. It has been concluded that the effect of improving indoor comfort conditions of the building by controlling the outdoor environment conditions with the construction of different facade systems is very important in the architectural process. With the development of technology and smart systems, the impact of the façades on the climate analysis and energy efficient design strategies will be much more important in the future


2019 ◽  
Vol 51 (2) ◽  
pp. 232-247
Author(s):  
Bahareh Boustani ◽  
Abdolrahim Javaherian ◽  
Majid Nabi-Bidhendi ◽  
Siyavash Torabi ◽  
Hamid Reza Amindavar

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