• Title/Summary/Keyword: Quadratic equation

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An Image Warping Method for Implementation of an Embedded Lens Distortion Correction Algorithm (내장형 렌즈 왜곡 보정 알고리즘 구현을 위한 이미지 워핑 방법)

  • Yu, Won-Pil;Chung, Yun-Koo
    • The KIPS Transactions:PartB
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    • v.10B no.4
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    • pp.373-380
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    • 2003
  • Most of low cost digital cameras reveal relatively high lens distortion. The purpose of this research is to compensate the degradation of image quality due to the geometrical distortion of a lens system. The proposed method consists of two stages : calculation of a lens distortion coefficient by a simplified version of Tsai´s camera calibration and subsequent image warping of the original distorted image to remove geometrical distortion based on the calculated lens distortion coefficient. In the lens distortion coefficient calculation stage, a practical method for handling scale factor ratio and image center is proposed, after which its feasibility is shown by measuring the performance of distortion correction using a quantitative image quality measure. On the other hand, in order to apply image warping via inverse spatial mapping using the result of the lens distortion coefficient calculation stage, a cubic polynomial derived from an adopted radial distortion lens model must be solved. In this paper, for the purpose of real-time operation, which is essential for embedding into an information device, an approximated solution to the cubic polynomial is proposed in the form of a solution to a quadratic equation. In the experiment, potential for real-time implementation and equivalence in performance as compared with that from cubic polynomial solution are shown.

Sensory Characteristics of Doenjang Supplemented with Sage Powder as Assessed by Response Surface Methodology (반응표면분석법을 이용한 세이지분말 첨가 된장의 관능적 특성)

  • Kim, Mi-Lim;Jeong, Ji-Suk
    • Food Science and Preservation
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    • v.17 no.2
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    • pp.243-249
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    • 2010
  • We examined sensory characteristics to obtain the optimal conditions for doenjang preparation, using response surface methodology (RSM) to evaluate addition of sage (Salvia officinalis L.) powder to, and the salinity of, doenjang. We aimed to develop a new variety of doenjang linking traditional Korean doenjang preparation with the physiological functionalities of sage. Color values were 1.20-2.70, flavor values 1.60-3.20, taste values 1.40-3.50, texture scores 1.60-3.50, and overall preference values 1.60-3.05, with the differences depending on experimental variations in preparation. Analysis of a reaction surface formed by a quadratic regression equation found that the R-squared values for overall preference, texture, taste, flavor,and color were 0.11-0.41, thus relatively low and insignificant, being less than 5%. In sensory tests, the color value was 2.91 when the salinity was 21.50%, and sage powder was added to a concentration of 3.10% (all w/w). The flavor score was 3.21 when the salinity was 22.52% and sage powder concentration was 3.68%. The taste value was 2.87 when the salinity was 8.62% and sage powder concentration was 4.46%. The texture score was 2.88 when the salinity was 8.00% and sage powder concentration was 6.06%. The overall preference score was 2.74 when the salinity was 20.40% and sage powder concentration was 2.66%. Although this preparation method is new to Koreans, doenjang with added sage was associated with higher sensory scores than traditional doenjang, confirming the possibility of development of a novel functional doenjang.

Detection and Absorbed-Dose Estimation of Irradiated Enzyme Powder Using ESR Spectroscopy (ESR Spectroscopy를 이용한 방사선 조사 효소분말의 검지와 흡수선량 예측)

  • Chung, Hyung-Wook;Jeong, Jae-Young;Kwon, Joong-Ho
    • Korean Journal of Food Science and Technology
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    • v.31 no.5
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    • pp.1159-1163
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    • 1999
  • Along with the increasing demands for food irradiation technology in the food industry, a proper detection means for controlling irradiated foods is required. Enzyme powder, which is permitted to be irradiated in Korea, was subjected to a detection trial by ESR spectroscopy. The high correlation coefficients were observed between the absorbed doses ranging from 2.5 to 15.0 kGy and the corresponding ESR signal intensity, such as $R^2$ = 0.9904 in gamma irradiation and $R^2$ = 0.9696 in electron beam. Pre-established threshold values for both non-irradiated control (1.19) and 2.5 kGy-irradiated samples (6.97 in gamma-ray; 7.36 in electron-beam) were successfully applicable to the detection of 30 coded unknown samples of enzyme powder. The calibration curves obtained from the samples irradiated at 2.5 to 15 kGy were expected to be potentially adopted to estimate absorbed doses ranging front 4 to 7 kGy with a quadratic equation.

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A Study on the Effects of Rotation Rate and Flow Rate on the Operating Characteristics in Centrifugal Pump (원심펌프에서 회전수 및 유량변화가 운전특성에 미치는 영향)

  • Lim, Kwang-Mook;Lee, Sung-Ill
    • Fire Science and Engineering
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    • v.33 no.3
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    • pp.56-62
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    • 2019
  • This study examined effects of the operating characteristics of a pump according to the rotational speed of a pump and the change in flow rate when a centrifugal pump operates under the following conditions: regulated flow rate, head, rotational speed, and specific speed of 0.7 m/min, 8 m, 1750 rpm, an 182 (m, ㎥/min, rpm), respectively. The pump in the experiment did not have a guide vane and was connected directly to the rim, so that the rotational speed of the volute pump in a spiral or volute casing increased by 100 rpm from 1350 to 1750 rpm. The result of the relationship between the H-Q, L-Q, and 𝜂-Q characteristics and the dimensionless performance characteristics, such as the head coefficient, power coefficient and efficiency were studied. The change in pump performance could be estimated depending on the increase in the number of revolutions. The maximum efficiency of the pump was 52% with 1450 rpm, 0.165 ㎥/min flux, and 4.73 m of lift. The efficiency reached 50% with a maximum of 1750 rpm, 0.183 ㎥/min of flux, and 6.72 m of lift. The efficiency curve on the performance characteristics of the lift versus flux curve became oval not a curve from a quadratic equation that passes through the starting point according to the similarity law of the pump. Finally, when the flux coefficient increased, the power coefficient increased and the lift coefficient decreased. When the flux coefficient was 0.08, the maximum efficiency was 52%. Therefore, the change in flux affects the driving characteristics.

Labial and buccal surface contours of Korean normal occlusion in a three-dimensional digital model (한국인 정상교합자의 3차원 디지털 모형을 이용한 순,협측 치면 곡률)

  • Chae, Ji-Hyeon;Song, Jin-Wook;Cha, Jung-Yul;Choi, Jung-Soo;Park, Young-Chel
    • The korean journal of orthodontics
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    • v.38 no.2
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    • pp.95-103
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    • 2008
  • Objective: This study was performed to investigate the labio/buccal clinical crown curvatures of Korean permanent teeth and to obtain the curve-ratio data in an attempt to fabricate bracket bases fit for each individual Korean permanent tooth. Methods: Three-dimensional digital models were made from 30 sets of dental casts with normal anatomic structures. According to the FA points, horizontal and vertical reference planes were established and lines were drawn on the tooth surfaces in reference to these planes. The curvature was expressed as the coefficient of a quadratic equation. Lines mesial, distal, gingival and occlusal to the horizontal, vertical reference planes and the FA point were drawn. Results: The curvature measured for each line revealed that there are no significant differences between male and female, except for maxillary canines and maxillary second bicuspids (p > 0.05). There were notable differences in the mesio-distal or gingivo-occlusal curvatures among the mandibular lateral incisors, maxillary canines, maxillary and mandibular first and second bicuspids and first molars (p < 0.05). Conclusions: The labial & buccal crown curvatures of teeth in Korean normal occlusion were measured on the mesial and distal, gingival and occlusal sides respectively in this study. Based on these data, a SWA can be developed to fit the individual features of Korean tooth crowns.

A Study on Rotation Behavior of High Strength Steel Endplate Connections under Fire (화재시 고강도강 엔드플레이트 접합부의 회전 거동에 관한 연구)

  • Shin, Su-Min;Lee, Chy-Hyoung;Yoon, Sung-Kee
    • Journal of the Korea institute for structural maintenance and inspection
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    • v.20 no.5
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    • pp.35-43
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    • 2016
  • In order to understand rotation behavior of high strength steel endplate connections under fire, this study is compared with existing studies conducted using FEA program. Eurocode 3 presents the three failure modes according to the prediction of bending resistance moment. The parameters of analysis model are temperature, thickness and steel materials of endplate. The rotation stiffness, and bending resistance moment are analyzed according to the parameters. The change of rotation stiffness and bending resistance moment are analyzed about the parameters, regression equations are suggested the change of high strength steel endplate connections. Consequently, the regression equations were proposed as the linear and quadratic equation. The moment ratio of high strength steel under fire was more reduced than the carbon steel, and was small effect about the thickness. When the high strength steel under fire was compared with at ambient temperature, the slope of initial rotation stiffness reduced, the increment ratio of moment was slow, and the change of plastic rotation stiffness wasn't effect by the thickness increase.

Detection of Irradiation Treatment for Seasoned-Powdered Foods by Thermoluminescence Measurement (Thermoluminescence 측정에 의한 조미분말식품의 방사선 조사유무 확인)

  • Chung, Hyung-Wook;Kwon, Joong-Ho
    • Korean Journal of Food Science and Technology
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    • v.30 no.3
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    • pp.509-516
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    • 1998
  • Thermoluminescence measurements were applied to the detection of seasoned-powered foods such as shellfish extract powder, seasoned marine products, Ramen soup powder and sardine extract powder whether they are irradiated or not. Correlation coefficients $(R^2)$ between irradiation doses and corresponding TL responses were more than 0.5966 in all samples and 0.9500 in Ramen soup powder. TL threshold value was pre-established for the detection of unknown Ramen soup powders by verifying TL responses with a re-irradiation step. Threshold values were maximum 1.37 for the nonirradiated samples and minimum 6.06 for the 2.5 kGy-irradiated samples. The samples showing values between 1.37 and 6.06 were subjected to a re-irradiation step for their detection, which results were reconfirmed by enumerating the total bacterial load of the detected samples. Pre-established threshold values were successfully applicable to the detection of 167 coded unknown samples, both nonirradiated and irradiated with gamma or electron-beam energy. In the assessment of irradiated doses, three calibration curves were pre-established by plotting TL intensity versus applied doses, of which a quadratic equation was obtained for the potential estimation of irradiated doses with some variations from the real doses.

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Evaluation of Feed Value of IRG in Middle Region Using UAV

  • Na, Sang-Il;Kim, Young-Jin;Park, Chan-Won;So, Kyu-Ho;Park, Jae-Moon;Lee, Kyung-Do
    • Korean Journal of Soil Science and Fertilizer
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    • v.50 no.5
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    • pp.391-400
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    • 2017
  • Italian ryegrass (IRG) is one of the fastest growing grasses available to farmers. It offers rapid establishment and starts growing early in the following spring and has fast regrowth after defoliation. So, IRG can be utilized as the dominant/single species of grass used in a farming system, or to play a role as a large producing pasture and sacrificial paddock. The objective of this study was to develop the use of unmanned aerial vehicle (UAV) for the evaluation of feed value of IRG. For this study, UAV imagery was taken on the Nonsan regions two times during the IRG growing season. We analyzed the relationships between $NDVI_{UAV}$ and feed value parameters such as fresh matter yield, dry matter yield, acid detergent fiber (ADF), neutral detergent fiber (NDF), total digestible nutrient (TDN) and crude protein at the season of harvest. Correlation analysis between $NDVI_{UAV}$ and feed value parameters of IRG revealed that $NDVI_{UAV}$ correlated well with crude protein (r = 0.745), and fresh matter yield (r = 0.655). According to the relationship, the variation of $NDVI_{UAV}$ was significant to interpret feed value parameters of IRG. Eight different regression models such as Linear, Logarithmic, Inverse, Quadratic, Cubic, Power, S, and Exponential model were used to estimate IRG feed value parameters. The S and exponential model provided more accurate results to predict fresh matter yield and crude protein than other models based on coefficient of determination, p- and F-value. The spatial distribution map of feed values in IRG plot was in strong agreement with the field measurements in terms of geographical variation and relative numerical values when $NDVI_{UAV}$ was applied to regression equation. These lead to the result that the characteristics of variations in feed value of IRG according to $NDVI_{UAV}$ were well reflected in the model.

Biotic and Abiotic Factors Affecting Homoharringtonine Contents of Cephalotaxus koreana Nakai (개비자나무의 homoharringtonine 함량에 영향을 미치는 생물 및 무생물적 환경인자)

  • Jung, Myung-Suk;Hyun, Jung-Oh;Lee, Uk;Baik, Eul-Sun
    • Korean Journal of Plant Resources
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    • v.23 no.2
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    • pp.172-178
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    • 2010
  • This study was carried out to investigate abiotic and biotic environmental factors affecting homoharringtonine (HHT) contents of Cephalotaxus koreana, whereby, to provide basic information of high value-added industry production of HHT as a promising anti-cancer agent. For correlation between abiotic environmental factors (soil moisture, soil pH, habitat density and temperature) and HHT contents, the contents were highly correlated with soil moisture (0.77) and soil pH (-0.68). For multiple regression analysis of relationship between abiotic environmental factors (soil moisture and soil pH) and HHT contents, soil moisture appeared to be strongly affecting the contents relatively due to being significant at only its regression coefficient ($26.48^{***}$). For the effect of biotic environmental factors (damage index) affecting HHT contents, the contents was quadratic with equation of $H=278.23+1242D-398.87D^2$, also, damage index had strong effect on the contents. Finally, for the result of the most influencing an environmental factor on HHT contents, both damage index and soil moisture were suitable in second polynomial regression, also, damage index ($R^2=0.73^{***}$) was turned out to be more influencing factor than soil moisture ($R^2=0.67^{**}$) on HHT contents relatively. Therefore, we predict that HHT contents in the trees of Cephalotaxus koreana is produced as a chemical defense mechanism triggered by a stress-related damage of fungi or insects.

Optimization of MOF-801 Synthesis Using Sequential Design of Experiments (순차적 실험계획법을 이용한 MOF-801 합성공정 최적화)

  • Lee, Min Hyung;Yoo, Kye Sang
    • Applied Chemistry for Engineering
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    • v.32 no.6
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    • pp.621-626
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    • 2021
  • A sequential design of experiments was used to optimize MOF-801 synthesis process. For the initial screening, a general 2k factorial design was selected followed by the central composition design, one of the response surface methods. A 23 factorial design based on the molar ratio of fumaric acid, dimethylformamide (DMF), and formic acid was performed to select the more suitable response variable for the design of experimental method among the crystallinity and BET specific surface area of MOF-801. After performing 8 synthesis experiments designed by MINITAB 19 software, the characteristic analysis was performed using XRD analysis and nitrogen adsorption method. The crystallinity with R2 = 0.999 was found to be more suitable for the experimental method than that of BET specific surface area. Based on analysis of variance (ANOVA), it was confirmed that the molar ratio of fumaric acid and formic acid was a major factor in determining the crystallinity of MOF-801. Through the response optimization and contour plot of two factors, the optimal molar ratio of ZrOCl2·8H2O : fumaric acid : DMF : formic acid was 1 : 1 : 39 : 35. In order to optimize the synthesis process, the central composition design on synthesis time and temperature was performed under the identical molar ratio of precursors. The results derived through the designed 9 synthesis experiments were calculated using the quadratic model equation. Thus, the maximum crystallinity of MOF-801 predicted under the synthesis time and temperature of 7.8 h and 123 ℃, respectively.