• Title/Summary/Keyword: polynomial root

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3D Geopositioning Accuracy Assessment Using KOMPSAT-2 RPC (KOMPSAT-2 RPC를 이용한 3차원 위치결정 정확도 분석)

  • Oh, Kwan-Young;Jung, Hyung-Sup;Lee, Won-Jin;Lee, Dong-Taek
    • Journal of the Korean Society of Surveying, Geodesy, Photogrammetry and Cartography
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    • v.29 no.1
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    • pp.1-9
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    • 2011
  • The objective of this paper is to improve the accuracy of the 3D geopositioning extracted from Rational Polynomial Coefficient(RPC) provide in the KOMPSAT-2 metadata files. In this paper, we developed the algorithm to adjust a RFM(Rational Functional Model), and could improve the accuracy of a RFM with this algorithm. Furthermore, when a RFM was adjusted with this algorithm, the effects of the number of GCPs on the accuracy of the adjusted RFM was tested. For accuracy assessment using adjusted RFM, 9 ground control points(GCPs) and 24 check points could be used. Results indicated that the root mean squared errors(RMSEs) of horizontal residual errors calculated 24 check points were 2.20(m). The achieved accuracy of three dimensional object-point determination was 1.72(m) in the X-dimension and 1.37(m) in the Y-dimension and 2.20(m) in the Z-dimension.

CHALLENGING APPLICATIONS FOR FT-NIR SPECTROSCOPY

  • Goode, Jon G.;Londhe, Sameer;Dejesus, Steve;Wang, Qian
    • Proceedings of the Korean Society of Near Infrared Spectroscopy Conference
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    • 2001.06a
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    • pp.4112-4112
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    • 2001
  • The feasibility of NIR spectroscopy as a quick and nondestructive method for quality control of uniformity of coating thickness of pharmaceutical tablets was investigated. Near infrared spectra of a set of pharmaceutical tablets with varying coating thickness were measured with a diffuse reflectance fiber optic probe connected to a Broker IFS 28/N FT-NIR spectrometer. The challenging issues encountered in this study included: 1. The similarity of the formulation of the core and coating materials, 2. The lack of sufficient calibration samples and 3. The non-linear relationship between the NIR spectral intensity and coating: thickness. A peak at 7184 $cm^{-1}$ was identified that differed for the coating material and the core material when M spectra were collected at 2 $cm^{-1}$ resolution (0.4 nm at 7184 $cm^{-1}$). The study showed that the coating thickness can be analyzed by polynomial fitting of the peak area of the selected peak, while least squares calibration of the same data failed due to the lack of availability of sufficient calibration samples. Samples of coal powder and solid pieces of coal were analyzed by FT-NIR diffuse reflectance spectroscopy with the goal of predicting their ash content, percentage of volatile components, and energy content. The measurements were performed on a Broker Vector 22N spectrometer with a fiber optic probe. A partial least squares model was constructed for each of the parameters of interest for solid and powdered sample forms separately. Calibration models varied in size from 4 to 10 PLS ranks. Correlation coefficients for these models ranged from 86.6 to 95.0%, with root-mean-square errors of cross validation comparable to the corresponding reference measurement methods. The use of FT-NIR diffuse reflectance measurement techniques was found to be a significant improvement over existing measurement methodologies in terms of speed and ease of use, while maintaining the desired accuracy for all parameters and sample forms.(Figure Omitted).

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Analysis of Geometric and Spatial Image Quality of KOMPSAT-3A Imagery in Comparison with KOMPSAT-3 Imagery

  • Erdenebaatar, Nyamjargal;Kim, Jaein;Kim, Taejung
    • Korean Journal of Remote Sensing
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    • v.33 no.1
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    • pp.1-13
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    • 2017
  • This study investigates the geometric and spatial image quality analysis of KOMPSAT-3A stereo pair. KOMPSAT-3A is, the latest satellite of KOMPSAT family, a Korean earth observation satellite operating in optical bands. A KOMPSAT-3A stereo pair was taken on 23 November, 2015 with 0.55 m ground sampling distance over Terrassa area of Spain. The convergence angle of KOMPSAT-3A stereo pair was estimated as $58.68^{\circ}$. The investigation was assessed through the evaluation of the geopositioning analysis, image quality estimation and the accuracy of automatic Digital Surface Model (DSM) generation and compared with those of KOMPSAT-3 stereo pair with the convergence angle of $44.80^{\circ}$ over the same area. First, geopositioning accuracy was tested with initial rational polynomial coefficients (RPCs) and after compensating the biases of the initial RPCs by manually collected ground control points. Then, regarding image quality, relative edge response was estimated for manually selected points visible from two stereo pairs. Both of the initial and bias-compensated positioning accuracy and the quality assessment result expressed that KOMPSAT-3A images showed higher performance than those of KOMPSAT-3 images. Finally, the accuracy of DSMs generated from KOMPSAT-3A and KOMPSAT-3 stereo pairs were examined with respect to the reference LiDAR-derived DSM. The various DSMs were generated over the whole coverage of individual stereo pairs with different grid spacing and over three types of terrain; flat, mountainous and urban area. Root mean square errors of DSM from KOMPSAT-3A pair were larger than those for KOMPSAT-3. This seems due to larger convergence angle of the KOMPSAT-3A stereo pair.

New prototypes of target transfer functions for time domain specification (시간영역 설계명세를 위한 목표전달함수의 새로운 표준형)

  • Kim, Sin-Gu;Kim, Yeong-Cheol
    • Journal of Institute of Control, Robotics and Systems
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    • v.5 no.8
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    • pp.889-897
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    • 1999
  • This paper deals with a problem searching a target transfer function to meet the time-domain specifications for feedback system with given plant transfer function. For the Type I system, we first define three forms of transient response to unit step input, which are named by F, M, S-type. These are charaacterized as follows ; F-type has fast initial response and slow approach to the steady sate after reaching at 90% of the steady state value, S-type has slow initial response but fast approach to the steady state, and M-type is denoted by highly smooth response between F-type and S-type. Three prototypes corresponding to each form are proposed, time. For the order $n{\geq}4$, after determining admissible root structures of target characteristic polynomials empirically and expressing such polynomial coefficients by using special parameters ${\gamma}_i$ and $\epsilon$, the optimal prototypes that minimize the integral of the squared of the modified errors(ISME) have been obtained. Since the step responses of these prototypes have almost same wave forms irrespective to the order, the desired settling time or the rise time can be converted into the equibalent time constant $\tau$ and thus it is easy to obtain a target transfer function. It is shown through a design example that the present prototype is very useful for meeting the time-domain specifications and has been compared with different methods with a viewpoint of pertinence.

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Investigation of mean wind pressures on 'E' plan shaped tall building

  • Bhattacharyya, Biswarup;Dalui, Sujit Kumar
    • Wind and Structures
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    • v.26 no.2
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    • pp.99-114
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    • 2018
  • Due to shortage of land and architectural aesthetics, sometimes the buildings are constructed as unconventional in plan. The wind force acts differently according to the plan shape of the building. So, it is of utter importance to study wind force or, more specifically wind pressure on an unconventional plan shaped tall building. To address this issue, this paper demonstrates a comprehensive study on mean pressure coefficient of 'E' plan shaped tall building. This study has been carried out experimentally and numerically by wind tunnel test and computational fluid dynamics (CFD) simulation respectively. Mean wind pressures on all the faces of the building are predicted using wind tunnel test and CFD simulation varying wind incidence angles from $0^{\circ}$ to $180^{\circ}$ at an interval of $30^{\circ}$. The accuracy of the numerically predicted results are measured by comparing results predicted by CFD with experimental results and it seems to have a good agreement with wind tunnel results. Besides wind pressures, wind flow patterns are also obtained by CFD for all the wind incidence angles. These flow patterns predict the behavior of pressure variation on the different faces of the building. For better comparison of the results, pressure contours on all the faces are also predicted by both the methods. Finally, polynomial expressions as the sine and cosine function of wind angle are proposed for obtaining mean wind pressure coefficient on all the faces using Fourier series expansion. The accuracy of the fitted expansions are measured by sum square error, $R^2$ value and root mean square error.

Semi-active eddy current pendulum tuned mass damper with variable frequency and damping

  • Wang, Liangkun;Shi, Weixing;Zhou, Ying;Zhang, Quanwu
    • Smart Structures and Systems
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    • v.25 no.1
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    • pp.65-80
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    • 2020
  • In order to protect a structure over its full life cycle, a novel tuned mass damper (TMD), the so-called semi-active eddy current pendulum tuned mass damper (SAEC-PTMD), which can retune its frequency and damping ratio in real-time, is proposed in this study. The structural instantaneous frequency is identified through a Hilbert-Huang transformation (HHT), and the SAEC-PTMD pendulum is adjusted through an HHT-based control algorithm. The eddy current damping parameters are discussed, and the relationship between effective damping coefficients and air gaps is fitted through a polynomial function. The semi-active eddy current damping can be adjusted in real-time by adjusting the air gap based on the linear-quadratic-Gaussian (LQG)-based control algorithm. To verify the vibration control effect of the SAEC-PTMD, an idealized linear primary structure equipped with an SAEC-PTMD excited by harmonic excitations and near-fault pulse-like earthquake excitations is proposed as one of the two case studies. Under strong earthquakes, structures may go into the nonlinear state, while the Bouc-Wen model has a wild application in simulating the hysteretic characteristic. Therefore, in the other case study, a nonlinear primary structure based on the Bouc-Wen model is proposed. An optimal passive TMD is used for comparison and the detuning effect, which results from the cumulative damage to primary structures, is considered. The maximum and root-mean-square (RMS) values of structural acceleration and displacement time history response, structural acceleration, and displacement response spectra are used as evaluation indices. Power analyses for one earthquake excitation are presented as an example to further study the energy dissipation effect of an SAECPTMD. The results indicate that an SAEC-PTMD performs better than an optimized passive TMD, both before and after damage occurs to the primary structure.

Monitoring of Roasting Conditions for the Functional Properties of Lateral Root of Red Ginseng (홍삼의 기능적 특성에 대한 볶음 조건 모니터링)

  • Jeon, Eun-Ju;Kim, Kyo-Yeon;Lee, Jeog-Eun;Waje, Catherine;Kwon, Joong-Ho
    • Food Science and Preservation
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    • v.15 no.3
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    • pp.396-404
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    • 2008
  • This study investigated the functional properties of lateral roots of red ginseng following roasting treatment The ten different conditions, based on the central composite design for roasting parameters, were pre-established according to roasting temperature($140{\sim}240^{\circ}C$) and time($5{\sim}25\;min$). The functional characteristics were monitored using response surface methodology, whereby polynomial equations and correlation coefficients were investigated between roasting conditions. The functional properties of the samples were affected more by roasting time than temperature. The optimal roasting condition ranges for maximizing the functional qualities of lateral roots of red ginseng were predicted to be a roasting temperature of $194.5-210.9^{\circ}C$, and a roasting time of 13.8-20.0 min.

Production and Quality of Mountain Ginseng

  • Park Hoon;Park Seong Min;Jeon Sang Hun
    • Proceedings of the Ginseng society Conference
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    • 2002.10a
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    • pp.456-466
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    • 2002
  • Wild ginseng production is increasing due to forest recovery for last 30 years. Total number of Symmani (traditional mountain ginseng digger) was 558 in 2001. Provincial distribution of Symmani in 2001 was highest in Kangwon $(32\%),$ next in Choongbook $(21\%)$ and least in Jeonnam $(0.7\%)$ and Kyoungnam $(0.9\%).$ Age distribution of Symmani was $33\%\;for\;fourties,\;32\%$ for fifties and $20\%$ for sixties. There were 8 persons in eighties. Symmanies are still keeping traditional ritual for mountain god serving clothes of colored ribbons and foods. Increased production induced open market system from underground dealing of mountain ginseng. Korea Mountain Ginseng Association established mountain ginseng assessment committee with professional Symmanies in 2001. From September to November in 2001, 987 roots were requested for quality assessment to the committee and 476 roots $(48\%)$ were passed and graded and others were rejected. Highest frequency of rejection was foreign origin. Pass rate was highest $(74\%)$ in Choongnam suggesting best place for quality. Number of collected roots in each province was positively correlated (p=0.05) with number of Symmanies. There are 3 quality groups of mountain ginseng, Heaven (pure natural), Earth (from seeding of wild ginseng) and Man (from seeding or seedling of wild ginseng with slight environmental modification). The relationship between price and age was polynomial in high quality root, Heaven, Earth and seed long head of Man group, and linear in low quality group, seedling long head of Man. The best one in 2001 was 26 g, 124 years old and sold with 109 million won. Quality criteria are age, shape, weight, color and healthy outlook. Fine roots are criteria for health status of roots and taproot is criteria for efficacy and called as medicine barrel. The implication is that ginsenosides have rarely been experienced for efficacy. The quality criteria of cultivated ginseng were originated from those of mountain ginseng. It is unique for mountain ginseng that only fresh one can be on market. Since quality criteria of mountain ginseng must be based on the efficacy experience it is well expected that present criteria might almost be established at the age of Shinnong Materia Medica.

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A Fourier Series Approximation for Deep-water Waves

  • Shin, JangRyong
    • Journal of Ocean Engineering and Technology
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    • v.36 no.2
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    • pp.101-107
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    • 2022
  • Dean (1965) proposed the use of the root mean square error (RMSE) in the dynamic free surface boundary condition (DFSBC) and kinematic free-surface boundary condition (KFSBC) as an error evaluation criterion for wave theories. There are well known wave theories with RMSE more than 1%, such as Airy theory, Stokes theory, Dean's stream function theory, Fenton's theory, and trochodial theory for deep-water waves. However, none of them can be applied for deep-water breaking waves. The purpose of this study is to provide a closed-form solution for deep-water waves with RMSE less than 1% even for breaking waves. This study is based on a previous study (Shin, 2016), and all flow fields were simplified for deep-water waves. For a closed-form solution, all Fourier series coefficients and all related parameters are presented with Newton's polynomials, which were determined by curve fitting data (Shin, 2016). For verification, a wave in Miche's limit was calculated, and, the profiles, velocities, and the accelerations were compared with those of 5th-order Stokes theory. The results give greater velocities and acceleration than 5th-order Stokes theory, and the wavelength depends on the wave height. The results satisfy the Laplace equation, bottom boundary condition (BBC), and KFSBC, while Stokes theory satisfies only the Laplace equation and BBC. RMSE in DFSBC less than 7.25×10-2% was obtained. The series order of the proposed method is three, but the series order of 5th-order Stokes theory is five. Nevertheless, this study provides less RMSE than 5th-order Stokes theory. As a result, the method is suitable for offshore structural design.

Development of an optimized model to compute the undrained shaft friction adhesion factor of bored piles

  • Alzabeebee, Saif;Zuhaira, Ali Adel;Al-Hamd, Rwayda Kh. S.
    • Geomechanics and Engineering
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    • v.28 no.4
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    • pp.397-404
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    • 2022
  • Accurate prediction of the undrained shaft resistance is essential for robust design of bored piles in undrained condition. The undrained shaft resistance is calculated using the undrained adhesion factor multiplied by the undrained cohesion of the soil. However, the available correlations to predict the undrained adhesion factor have been developed using simple regression techniques and the accuracy of these correlations has not been thoroughly assessed in previous studies. The lack of the assessment of these correlations made it difficult for geotechnical engineers to select the most accurate correlation in routine designs. Furthermore, limited attempts have been made in previous studies to use advanced data mining techniques to develop simple and accurate correlation to predict the undrained adhesion factor. This research, therefore, has been conducted to fill these gaps in knowledge by developing novel and robust correlation to predict the undrained adhesion factor. The development of the new correlation has been conducted using the multi-objective evolutionary polynomial regression analysis. The new correlation outperformed the available empirical correlations, where the new correlation scored lower mean absolute error, mean square error, root mean square error and standard deviation of measured to predicted adhesion factor, and higher mean, a20-index and coefficient of correlation. The correlation also successfully showed the influence of the undrained cohesion and the effective stress on the adhesion factor. Hence, the new correlation enhances the design accuracy and can be used by practitioner geotechnical engineers to ensure optimized designs of bored piles in undrained conditions.