Wavelet method of edge detection in images with high-noise level

2020 ◽  
Vol 2 (3) ◽  
pp. 119-130
Author(s):  
Tadeusz Niedziela
Keyword(s):  
Mathematical Model ◽  
Integral Transform ◽  
Wavelet Method ◽  
High Noise ◽  
Matching Algorithm ◽  
Frequency Domains ◽  
Sharp Edges ◽  
Exploration Tool ◽  
High Level ◽  
Wavelet Algorithm

In the paper a mathematical model addressed to non-sharp edges in the images is proposed. This model is based on and integral transform with Haar-Gauss wavelet and matching algorithm of bandwidth, such model is used to detection of the edges in images with high-level noises, both in the x plane and the frequency domains. There is shown that applying the integral Haar-Gaussian transformation the detection of single and double edges is possible. Demonstrated in the paper results confirm that wavelet transform supported by the matching wavelet algorithm of wavelength bandwidth make an important exploration tool of the images with the edges possessing a large depth of sharpness.

History of foundry production. Why does the slash bell sound

2020 ◽  
pp. 57-68
Author(s):  
V. A. Sidorov ◽  
E. V. Osowska
Keyword(s):  
Mathematical Model ◽  
Initial Data ◽  
Complementary Methods ◽  
History Of ◽  
High Level

The article is devoted to the history of foundry production-casting of bells. This art was passed down from generation to generation, there were successful variants, but there were also defective bells. The authors analyzed in detail the different production of slotted bells. Bells are unique single products. They confirm the high level of skill of the master. The loss of sound properties of slotted bells depends on the ratio of the main dimensions, the size of the slits and their locations. The use of complementary methods for measuring mechanical and visualizing sound vibrations allows us to obtain initial data for the development of a mathematical model of sound vibrations of a bell. A continuation of the material about the art of manufacturing and the secrets of production will be published in the next issue of the magazine.

scholarly journals Antibiotic-driven Escape of Host in a Parasite-induced Red Queen Dynamics

2018 ◽  
Author(s):  
Elizabeth L. Anzia ◽  
Jomar F. Rabajante
Keyword(s):  
Mathematical Model ◽  
Stable Equilibrium ◽  
Parasitic Infections ◽  
Red Queen ◽  
Good Practices ◽  
Low Level ◽  
High Level ◽  
Host Parasite ◽  
The Red Queen

AbstractWinnerless coevolution of hosts and parasites could exhibit Red Queen dynamics, which is characterized by parasite-driven cyclic switching of expressed host phenotypes. We hypothesize that the application of antibiotics to suppress the reproduction of parasites can provide opportunity for the hosts to escape such winnerless coevolution. Here, we formulate a minimal mathematical model of host-parasite interaction involving multiple host phenotypes that are targeted by adapting parasites. Our model predicts the levels of antibiotic effectiveness that can steer the parasite-driven cyclic switching of host phenotypes (heteroclinic oscillations) to a stable equilibrium of host survival. Our simulations show that uninterrupted application of antibiotic with high-level effectiveness (> 85%) is needed to escape the Red Queen dynamics. Intermittent and low level of antibiotic effectiveness are indeed useless to stop host-parasite coevolution. This study can be a guide in designing good practices and protocols to minimize risk of further progression of parasitic infections.

An Applied Mathematical Model for Business Transformation and Enterprise Architecture

2020 ◽  
pp. 103-130
Keyword(s):  
Mathematical Model ◽  
Enterprise Architecture ◽  
Real Life ◽  
Development Project ◽  
Advanced Mathematics ◽  
Development Environment ◽  
Business Transformation ◽  
Natural Language Programming ◽  
High Level ◽  
Transformation Processes

The HMM research and development project concept (RDPC) uses factor-driven research and reasoning concept that is supported by a behaviour-driven development environment or a natural language programming that can be easily adopted by any RDPC, where the HMM framework offers such a high level factors editing their logic implementation environment that it can be used by any RDPC researchers without any prior knowledge in computer sciences, technical, or even advanced mathematics. The RDPC is a meta-model that can be used for research topics on enterprise architecture, business transformation or decision-making systems, mathematical models-algorithms. It is supported by many real-life cases. The uniqueness of this RDPC also promotes the future transformation project's unbundling and the alignment of various enterprise resources including services, architecture standards, and strategies to support business transformation processes as the first.

scholarly journals Dimensionless analysis for modelling surface finish in conventional investment casting

2016 ◽  
Vol 45 (2) ◽  
pp. 123-129 ◽  
Author(s):  
Rupinder Singh ◽  
Sunpreet Singh
Keyword(s):  
Mathematical Model ◽  
Surface Finish ◽  
Investment Casting ◽  
Casting Process ◽  
Dimensionless Analysis ◽  
Slurry Layer ◽  
High Level ◽  
Main Effects ◽  
Shed Light ◽  
Study Application

High level surface finish (SF) achievement is one of the major advantages of conventional investment casting process. Not much work hitherto has been reported for modeling the SF in conventional investment casting of industrial components. In the present study application of dimensionless analysis, has been made for developing a mathematical model for SF. Three input process parameters (namely: molten metal pouring temperature (PT), slurry layer’s combination (LC) and volume/surface-area (V/A) ratio of cast components) were judicially selected to give SF as output. This study provide main effects of these input parameters on SFand shed light on the SF mechanism in conventional investment casting. The comparison of mathematical model with experimental results has been made for validation of model.

Determination of Plasticity for Pre-Deformed Billet

2019 ◽  
Vol 291 ◽  
pp. 110-120
Author(s):  
Olena Solona ◽  
Iryna Derevenko ◽  
Igor Kupchuk
Keyword(s):  
Mathematical Model ◽  
Damage Accumulation ◽  
Mechanical Characteristics ◽  
Calculation Procedure ◽  
Fracture Model ◽  
Pipe Extrusion ◽  
High Level ◽  
The Mathematical Model ◽  
Extrusion Method

The calculation procedure for determining the plasticity of pre-deformed metals during their processing by pressure has been developed. The calculation procedure is based on a fracture model, which in turn is based on the tensor description of damage accumulation. With known mechanical characteristics, as well as with known plasticity diagrams, the fracture model makes it possible to evaluate the plasticity of pre-deformed bend for any kind of stress state. When manufacturing steeply curved branches using the pipe extrusion method, the procedure was tested. Verification of the mathematical model has shown a high level of its adequacy, and it can be used in assessing the plasticity of pre-deformed billet.

Review on Node Modeling Method of Wind Farm in Power Flow Calculation

2013 ◽  
Vol 427-429 ◽  
pp. 412-415
Author(s):  
Jin Long Liu ◽  
Fei Zhao ◽  
Zhi Rui Liang
Keyword(s):  
Mathematical Model ◽  
Power Flow ◽  
Wind Farm ◽  
Wake Effect ◽  
Power Flow Calculation ◽  
Flow Calculation ◽  
Calculation Process ◽  
Asynchronous Generator ◽  
High Level ◽  
Level Calculation

Node modeling of wind farm in power flow calculation is an issue which must be solved. This paper described mathematical model of asynchronous generator which be used widely, elaborated mathematical model and calculation process of several wind farm node models in power flow calculation, discussed calculation speed and accuracy of every model and pointed out that under the premise of high level calculation speed, how to add wake effect to power flow calculation process will be a significant direction for wind farm modeling studies.

An Analysis of Axial Compressor Fouling and a Blade Cleaning Method

1998 ◽  
Vol 120 (2) ◽  
pp. 256-261 ◽  
Author(s):  
A. P. Tarabrin ◽  
V. A. Schurovsky ◽  
A. I. Bodrov ◽  
J.-P. Stalder
Keyword(s):  
Mathematical Model ◽  
Axial Compressor ◽  
Axial Compressors ◽  
Cleaning Method ◽  
Engine Efficiency ◽  
Calculation Results ◽  
On Line ◽  
Compressor Performance ◽  
High Level ◽  
Industrial Gas Turbine

The paper describes the phenomenon of axial compressor fouling due to aerosols contained in the air. Key parameters having effect on the level of fouling are determined. A mathematical model of a progressive compressor fouling using the stage-by-stage calculation method is developed. Calculation results on the influence of fouling on the compressor performance are presented. A new index of sensitivity of axial compressors to fouling is suggested. The paper gives information about Turbotect’s deposit cleaning method of compressor blading and the results of its application on an operating industrial gas turbine. Regular on-line and off-line washings of the compressor flow path make it possible to maintain a high level of engine efficiency and output.

Effects of Grooving in a Hydrostatic Circular Step Thrust Bearing With Porous Facing

2015 ◽  
Vol 137 (3) ◽  
Author(s):  
M. Mahbubur Razzaque ◽  
M. Zakir Hossain
Keyword(s):  
Mathematical Model ◽  
Inclination Angle ◽  
Thrust Bearing ◽  
Load Capacity ◽  
Maximum Load ◽  
Seepage Flow ◽  
Groove Depth ◽  
Small Thickness ◽  
Flow Through ◽  
High Level

Effects of grooving in a porous faced hydrostatic circular step thrust bearing are investigated using a mathematical model based on the narrow groove theory (NGT). It is shown that enhancement of load capacity by grooving the step is possible at moderate level of permeability of the porous facing. Load capacity drops sharply with the increase of porous facing thickness. However, this drop in load capacity occurs mostly within a small thickness of the porous facing. Considering the coupled effects of permeability and inertia, it is recommended that the dimensionless step location should be 0.5–0.8 and the dimensionless step height should be less than five to take advantage of grooving. The groove geometric parameters such as groove inclination angle, fraction of grooved area and groove depth corresponding to the maximum load capacity are found to be the same for both with and without porous facing. However, with porous facing, the sensitivity of the load capacity on the groove parameters reduces. At high level of permeability, the effects of grooves may become insignificant because of high seepage flow through the porous facing.

An Analysis of Axial Compressors Fouling and a Cleaning Method of Their Blading

1996 ◽  
Author(s):  
A. P. Tarabrin ◽  
V. A. Schurovsky ◽  
A. I. Bodrov ◽  
J.-P. Stalder
Keyword(s):  
Mathematical Model ◽  
Axial Compressor ◽  
Axial Compressors ◽  
Cleaning Method ◽  
Engine Efficiency ◽  
Calculation Results ◽  
On Line ◽  
Compressor Performance ◽  
High Level ◽  
Industrial Gas Turbine

The paper describes the phenomenon of axial compressor fouling due to aerosols contained in the air. Key parameters having effect on the level of fouling are determined. A mathematical model of a progressive compressor fouling using the stage-by-stage calculation method is developed. Calculation results on the influence of fouling on the compressor performance are presented. A new index of sensitivity of axial compressors to fouling is suggested. The paper gives information about the Turbotect’s deposit cleaning method of compressor blading and the results of its application on an operating industrial gas turbine. Regular on line and off line washings of compressor flow path make it possible to maintain a high level of engine efficiency and output.

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