• 제목/요약/키워드: Inverse Problems

Search Result 357, Processing Time 0.027 seconds

Digital Image Processing Using Tunable Q-factor Discrete Wavelet Transformation (Q 인자의 조절이 가능한 이산 웨이브렛 변환을 이용한 디지털 영상처리)

  • Shin, Jong Hong
    • Journal of Korea Society of Digital Industry and Information Management
    • /
    • v.10 no.3
    • /
    • pp.237-247
    • /
    • 2014
  • This paper describes a 2D discrete-time wavelet transform for which the Q-factor is easily specified. Hence, the transform can be tuned according to the oscillatory behavior of the image signal to which it is applied. The tunable Q-factor wavelet transform (TQWT) is a fully-discrete wavelet transform for which the Q-factor, Q, of the underlying wavelet and the asymptotic redundancy (over-sampling rate), r, of the transform are easily and independently specified. In particular, the specified parameters Q and r can be real-valued. Therefore, by tuning Q, the oscillatory behavior of the wavelet can be chosen to match the oscillatory behavior of the signal of interest, so as to enhance the sparsity of a sparse signal representation. The TQWT is well suited to fast algorithms for sparsity-based inverse problems because it is a Parseval frame, easily invertible, and can be efficiently implemented. The TQWT can also be used as an easily-invertible discrete approximation of the continuous wavelet transform. The transform is based on a real valued scaling factor (dilation-factor) and is implemented using a perfect reconstruction over-sampled filter bank with real-valued sampling factors. The transform is parameterized by its Q-factor and its oversampling rate (redundancy), with modest oversampling rates (e. g. 3-4 times overcomplete) being sufficient for the analysis/synthesis functions to be well localized. Therefore, This method services good performance in image processing fields.

A Study about the Optical Mixing in accordance with High-Strength Steel and Concrete Strength Levels (고강도 철근과 콘크리트 강도수준에 따른 최적조합에 관한 연구)

  • Choi, Pan-Gil;Lee, Bong-Hak
    • Journal of Industrial Technology
    • /
    • v.26 no.B
    • /
    • pp.111-118
    • /
    • 2006
  • The reinforced concrete structure is one of the most popular structures in real construction. Concrete has been strengtened rapidly due to the development of new material and construction technology. But as the concrete has been getting stronger, the brittleness of material has increased and the better ductility has been required. So, the study for strengthening stiffener has been urgently needed. As we said above, it is expected that the use of high strength steel and concrete will be increased. However, The experimental data is not enough for solving problems of the use of high strengthened steel and concrete. In this research, we analyzed 45 combinations of the strength levels of concrete, the thickness of material and the steel strength with regard to simple Reinforced Concrete SLAB Beam bridge. The program MIDAS CIVIL was used to find the optimal combination. As a result, it was found that strength ratio per unit section is in inverse proportion to the strength of material and that the strengths of steel are respectively 400 MPa for low strengthened concrete and 300 MPa for high strengthened concrete. For economic aspect and usability, the effect of high strength steel is not as high as we expected it would be.

  • PDF

Dynamic deflection monitoring of high-speed railway bridges with the optimal inclinometer sensor placement

  • Li, Shunlong;Wang, Xin;Liu, Hongzhan;Zhuo, Yi;Su, Wei;Di, Hao
    • Smart Structures and Systems
    • /
    • v.26 no.5
    • /
    • pp.591-603
    • /
    • 2020
  • Dynamic deflection monitoring is an essential and critical part of structural health monitoring for high-speed railway bridges. Two critical problems need to be addressed when using inclinometer sensors for such applications. These include constructing a general representation model of inclination-deflection and addressing the ill-posed inverse problem to obtain the accurate dynamic deflection. This paper provides a dynamic deflection monitoring method with the placement of optimal inclinometer sensors for high-speed railway bridges. The deflection shapes are reconstructed using the inclination-deflection transformation model based on the differential relationship between the inclination and displacement mode shape matrix. The proposed optimal sensor configuration can be used to select inclination-deflection transformation models that meet the required accuracy and stability from all possible sensor locations. In this study, the condition number and information entropy are employed to measure the ill-condition of the selected mode shape matrix and evaluate the prediction performance of different sensor configurations. The particle swarm optimization algorithm, genetic algorithm, and artificial fish swarm algorithm are used to optimize the sensor position placement. Numerical simulation and experimental validation results of a 5-span high-speed railway bridge show that the reconstructed deflection shapes agree well with those of the real bridge.

Solute Transport Modeling using Streamline Simulation in a Heterogeneous Aquifer with Multiple Contaminant Sources (불균질 대수층에서 유선 시뮬레이션을 이용한 다수 오염원의 용질 이동 모사)

  • Jung Seung-Pil;Choe Jong-Geun
    • Journal of Soil and Groundwater Environment
    • /
    • v.10 no.3
    • /
    • pp.24-31
    • /
    • 2005
  • This study presents a contaminant transport model suitable for a 2-dimensional heterogeneous aquifer with multiple contaminant sources. It uses a streamline simulation, which transforms a multi-dimensional problem into multiple 1dimensional problems. It runs flow simulation, streamline tracking, and calculation of contaminant concentrations by turns. The model is verificated with a Visual MODFLOW by comparing contaminant concentration distributions and breakthrough curves at an observation well. Due to its fast simulation, it can be applied to time consuming simulations such as in a fine-grided aquifer, an inverse modeling and other applications.

열추적자를 이용한 지하수-하천수 혼합대 연구

  • Kim Gu-Yeong;Jeon Cheol-Min;Kim Tae-Hui;Seong Hyeon-Jeong;O Jun-Ho;Kim Yong-Je;Jeong Jae-Hun;Park Seung-Gi
    • Proceedings of the Korean Society of Soil and Groundwater Environment Conference
    • /
    • 2006.04a
    • /
    • pp.277-281
    • /
    • 2006
  • A study on stream-groundwater exchange was performed using head and temperature data of stream water, streambed, and groundwater. Groundwater level and temperature were obtained from multi-depth monitoring wells in small-scale watershed. In the summer time, time series of temperatrue data at streambed and groundwater were monitored for three months. In the winter time, we measured the temperature gradient between stream water and streambed. The observed data showed three typical types of temperature characteristics. First, the temperature of streambed was lower than that of stream water; second, the temperature of streambed and stream water was similar; and last, the temperature of streambed was higher than that of stream water. The interconnections between the stream and the streambed were not homogeneously distributed due to weakly developed sediments and heterogeneous bedrock exposed as bed of the stream. The temperature data may be used in formal solutions of the inverse problems to estimate groundwater flow and hydraulic conductivity.

  • PDF

Prediction of Air Pocket Pressure in Draw Die during Stamping Process (드로우 금형의 에어포켓 수축에 따르는 내부공기 압력예측에 대한 연구)

  • Koo, Tae-Kyong;Hwang, Se-Joon;Park, Warn-Gyu;Oh, Se-Wook
    • Transactions of the Korean Society of Automotive Engineers
    • /
    • v.16 no.6
    • /
    • pp.10-18
    • /
    • 2008
  • Metal stamping is widely used in the mass-production process of the automobile industry. During the stamping process, air may be trapped between the draw die and the panel. The high pressure of trapped air induces imperfections on the panel surface and creates a situation where an extremely high tonnage of punch is required. To prevent these problems, many air ventilation holes are drilled through the draw die and the punch. The present work has developed a simplified mathematical formulation for computing the pressure of the air pocket based on the ideal gas law and isentropic relation. The pressure of the air pocket was compared to the results by the commercial CFD code, Fluent, and experiments. The present work also used the Bisection method to calculate the optimum cross-sectional area of the air ventilation holes, which did not make the pressure of the air pocket exceed the prescribed maximum value.

IMPLEMENTATION OF DATA ASSIMILATION METHODOLOGY FOR PHYSICAL MODEL UNCERTAINTY EVALUATION USING POST-CHF EXPERIMENTAL DATA

  • Heo, Jaeseok;Lee, Seung-Wook;Kim, Kyung Doo
    • Nuclear Engineering and Technology
    • /
    • v.46 no.5
    • /
    • pp.619-632
    • /
    • 2014
  • The Best Estimate Plus Uncertainty (BEPU) method has been widely used to evaluate the uncertainty of a best-estimate thermal hydraulic system code against a figure of merit. This uncertainty is typically evaluated based on the physical model's uncertainties determined by expert judgment. This paper introduces the application of data assimilation methodology to determine the uncertainty bands of the physical models, e.g., the mean value and standard deviation of the parameters, based upon the statistical approach rather than expert judgment. Data assimilation suggests a mathematical methodology for the best estimate bias and the uncertainties of the physical models which optimize the system response following the calibration of model parameters and responses. The mathematical approaches include deterministic and probabilistic methods of data assimilation to solve both linear and nonlinear problems with the a posteriori distribution of parameters derived based on Bayes' theorem. The inverse problem was solved analytically to obtain the mean value and standard deviation of the parameters assuming Gaussian distributions for the parameters and responses, and a sampling method was utilized to illustrate the non-Gaussian a posteriori distributions of parameters. SPACE is used to demonstrate the data assimilation method by determining the bias and the uncertainty bands of the physical models employing Bennett's heated tube test data and Becker's post critical heat flux experimental data. Based on the results of the data assimilation process, the major sources of the modeling uncertainties were identified for further model development.

Study On Integrating Internet and Intranet based on IPSec and IMA Technology (IPSec과 IMA를 이용한 인터넷과 내부 망 통합에 관한 연구)

  • Cho, Yong-Gun
    • Convergence Security Journal
    • /
    • v.8 no.2
    • /
    • pp.71-78
    • /
    • 2008
  • This research is on the study of integrating internet and intranet that was built for their own enterprise into one network system that promises a more economic and secure use. Compared to this system, the traditional network conversion device not only has its mechanical limits, but also requires a separate network set up. This raises both interoperability and security problems and results in a higher cost. Therefore, I propose dual defence system based on the inverse multiplexing of ATM Forum and IPSec to improve network ability and deliver enhanced system reliability while reducing cost. Furthermore, I also addressed some of the weaknesses of the Scanning Attacking Method, SNMP and Spooler Port and proposed counter measures that will deal with these weakness at the dual defence system.

  • PDF

Nondestructive damage evaluation of a curved thin beam

  • Kim, Byeong Hwa;Joo, Hwan Joong;Park, Tae Hyo
    • Structural Engineering and Mechanics
    • /
    • v.24 no.6
    • /
    • pp.665-682
    • /
    • 2006
  • A vibration-based nondestructive damage evaluation technique for a curved thin beam is introduced. The proposed method is capable of detecting, locating, and sizing structural damage simultaneously by using a few of the lower natural frequencies and their corresponding mode shapes before and after a small damage event. The proposed approach utilizes modal flexibilities reconstructed from measured modal parameters. A rigorous system of equations governing damage and curvature of modal flexibility is derived in the context of elasticity. To solve the resulting system of governing equations, an efficient pseudo-inverse technique is introduced. The direct inspection of the resulting solutions provides the location and severity of damage in a curved thin beam. This study confirms that there is a strong linear relationship between the curvature of modal flexibility and flexural damage in the selected class of structures. Several numerical case studies are provided to justify the performance of the proposed approach. The proposed method introduces a way to avoid the singularity and mode selection problems from earlier attempts.

An Analysis On Students' Misconceptions of the Reversibility of Irrational Functions (무리함수의 가역성에 대한 학생들의 오개념 분석)

  • Lee, Ki-Suk;Lee, Du-Ho
    • Communications of Mathematical Education
    • /
    • v.24 no.3
    • /
    • pp.709-730
    • /
    • 2010
  • The inverse function of a one-to-one correspondence is explained with a graph, a numerical formula or other useful expressions. The purpose of this paper is to know how low achieving students understand the learning contents needed reversible thinking about irrational functions. Low achieving students in this study took paper-pencil test and their written answers were collected. They made various mistakes in solving problems. Their error types were grouped into several classes and identified in this analysis. Most students did not connected concepts that they learned in the lower achieving students to think in reverse order in case of and to visualize concepts of functions. This paper implies that it is very important to take into account students' accommodation and reversible thinking activity.