• Title/Summary/Keyword: Second derivative

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SCALED VISUAL CURVATURE AND VISUAL FRENET FRAME FOR SPACE CURVES

  • Jeon, Myungjin
    • Journal of the Chungcheong Mathematical Society
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    • v.34 no.1
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    • pp.37-53
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    • 2021
  • In this paper we define scaled visual curvature and visual Frenet frame that can be visually accepted for discrete space curves. Scaled visual curvature is relatively simple compared to multi-scale visual curvature and easy to control the influence of noise. We adopt scaled minimizing directions of height functions on each neighborhood. Minimizing direction at a point of a curve is a direction that makes the point a local minimum. Minimizing direction can be given by a small noise around the point. To reduce this kind of influence of noise we exmine the direction whether it makes the point minimum in a neighborhood of some size. If this happens we call the direction scaled minimizing direction of C at p ∈ C in a neighborhood Br(p). Normal vector of a space curve is a second derivative of the curve but we characterize the normal vector of a curve by an integration of minimizing directions. Since integration is more robust to noise, we can find more robust definition of discrete normal vector, visual normal vector. On the other hand, the set of minimizing directions span the normal plane in the case of smooth curve. So we can find the tangent vector from minimizing directions. This lead to the definition of visual tangent vector which is orthogonal to the visual normal vector. By the cross product of visual tangent vector and visual normal vector, we can define visual binormal vector and form a Frenet frame. We examine these concepts to some discrete curve with noise and can see that the scaled visual curvature and visual Frenet frame approximate the original geometric invariants.

Thrombus Formation Inhibition of Esculetin through Regulation of Cyclic Nucleotides on Collagen-Induced Platelets

  • Lee, Dong-Ha
    • Biomedical Science Letters
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    • v.27 no.4
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    • pp.270-276
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    • 2021
  • Physiological agents trigger a signaling process called "inside-out signaling" and activated platelets promote adhesion, granule release, and conformational changes of glycoprotein IIb/IIIa (αIIb/β3). Activated αIIb/β3 interacts with fibrinogen and initiates a second signaling step called "external signaling". These two signaling pathways can cause hemostasis or thrombosis, and thrombosis is a possible medical problem in arterial and venous vessels, and platelet-mediated thrombosis is a major cause of cardiovascular disease (CVD). Therefore, modulating platelet activity is important for platelet-mediated thrombosis and cardiovascular disease. Esculetin is a coumarin-based physiologically active 6,7-dihydroxy derivative known to have pharmacological activity against obesity, diabetes, renal failure and CVD. Although some studies have confirmed the effects of esculetin in human platelet activation and experimental mouse models, it is not clear how esculetin has antiplatelet and antithrombotic effects. We confirmed the effect and mechanism of action of escultein on human platelets induced by collagen. As a result, esculetin decreased Ca2+ recruitment through upregulation of inositol 1, 4, 5-triphosphate receptor. In addition, esculetin upregulates cyclic adenosine monophosphate (cAMP) and cyclic guanosine monophosphate (cGMP)-dependent pathways and inhibits fibrinogen binding and thrombus contraction. Our results demonstrate the antiplatelet effect and antithrombotic effect of esculetin in human platelets. Therefore, we suggest that esculetin could be a potential phytochemical for the prevention of thrombus-mediated CVD.

Comparative Analyses of Land Appropriateness Degrees Based on the Basic and Alternative Indicators : Focused on Forest Areas Surrounding Management Zones in Chungcheongbuk-Do Jeungpyeong Counties (기본지표와 대안지표를 활용한 토지적성등급 비교분석 - 충청북도 증평군을 대상으로)

  • Lee, Jin Hang;Kim, Kwang Ju;Lee, Myoung Beom;Lee, Man Hyung
    • Journal of Korean Society for Geospatial Information Science
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    • v.21 no.4
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    • pp.83-93
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    • 2013
  • Land Suitability Assessment can help to evaluate whether to preserve or to develop through analysis of various land characteristics. So, the evaluation index and method are very important for making the best result. The principle objective of this dissertation is to identify effective method that can make up for the distortion of land suitability value in the forest bordering the management area. The objective area of this study is comparative flat Jeungpyeong-gun. The procedures of the study are as follows. First, implement land suitability assessment as the normal index on Guideline. Second, verify land suitability grade about the forest bordering the management area. The third, redo land suitability assessment as two alternative index on $^*$Guideline. The fourth, identify effective method between normal index and alternative index. The results of this tests show that the development suitability value is higher than preservation suitability value in the forest bordering the management area near existing development area. For that reason, this study needed to use substitution index in order to make up for the weakness. The level of land price and distance from road were main considerations. Finally, the derivative model is as follows. The derivative model confirmed the best assessment method in the forest bordering the management area near existing development area.

Preprocessing of Transmitted Spectrum Data for Development of a Robust Non-destructive Sugar Prediction Model of Intact Fruits (과실의 비파괴 당도 예측 모델의 성능향상을 위한 투과스펙트럼의 전처리)

  • Noh, Sang-Ha;Ryu, Dong-Soo
    • Journal of the Korean Society for Nondestructive Testing
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    • v.22 no.4
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    • pp.361-368
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    • 2002
  • The aim of this study was to investigate the effect of preprocessing the transmitted energy spectrum data on development of a robust model to predict the sugar content in intact apples. The spectrum data were measured from 120 Fuji apple samples conveying at the speed of 2 apples per second. Computer algorithms of preprocessing methods such as MSC, SNV, first derivative, OSC and their combinations were developed and applied to the raw spectrum data set. The results indicated that correlation coefficients between the transmitted energy values at each wavelength and sugar contents of apples were significantly improved by the preprocessing of MSC and SNV in particular as compared with those of no-preprocessing. SEPs of the prediction models showed great difference depending on the preprocessing method of the raw spectrum data, the largest of 1.265%brix and the smallest of 0.507% brix. Such a result means that an appropriate preprocessing method corresponding to the characteristics of the spectrum data set should be found or developed for minimizing the prediction errors. It was observed that MSC and SNV are closely related to prediction accuracy, OSC is to number of PLS factors and the first derivative resulted in decrease of the prediction accuracy. A robust calibration model could be d3eveloped by the combined preprocessing of MSC and OSC, which showed that SEP=0.507%brix, bias=0.0327 and R2=0.8823.

PREDICTION OF PHYSICO-CHEMICAL AND TEXTURE CHARACTERISTICS OF BEEF BY NEAR INFRARED TRANSMITTANCE SPECTROSCOPY

  • Olivan, Mamen;Delaroza, Begona;Mocha, Mercedes;Martinez, Maria Jesus
    • Proceedings of the Korean Society of Near Infrared Spectroscopy Conference
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    • 2001.06a
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    • pp.1256-1256
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    • 2001
  • The physico-chemical and texture characteristics of meat determine the nutritional, technological and sensory quality. However, the analysis of meat quality requires expensive, laborious and time consuming analytical methods. The objective of this study was to evaluate NIR spectroscopy using transmittance for determining the moisture, fat, protein and total pigment content, the water holding capacity (WHC) and the toughness of beef meat. A total of 318 spectra were recorded from ground beef samples by a Feed Analyzer 1265 of Infratec. The samples were obtained from the Longissimus muscle of the 10$^{th}$ rib of yearling bulls, ground with an electrical chopper, vacuum packaged, aged during 7 days and frozen at -24$^{\circ}C$ until the analyses were done. Moisture content was measured by oven drying at 10$0^{\circ}C$, fat content was determined by Soxhlet extraction and protein content was estimated from nitrogen content using the Kjeldahl analysis. The total pigment content was determined by the method of Hornsey and the WHC using the method of filter paper press. The instrumental evaluation of texture (maximum load WB, maximum stress MS and toughness) was conducted in an Instron equipment with a Warner-Bratzler shearing device. This analysis was performed on a chop of 3.5 cm obtained from the longissimus of the 8$^{th}$ rib, aged during 7 days, kept frozen at -24$^{\circ}C$ and cooked before the analysis. Near infrared spectra were recorded as log 1/T (T=transmittance) at 2 nm intervals from 850 to 1050 nm using a Feed Analyzer 1265 of Infratec. Calibrations were performed with the WinISI software (vs. 1.02) using the MPLS method. To examine the effect of scatter correction o. derivation of spectra on the calibration performance, calibrations were calculated with the crude spectra or pretreated with different mathematical treatments (inverse MSC, SNVD) and/or second derivative operation. For chemical composition, the use of the scatter corrections improved the calibration statistics, in terms of lower SECV and higher $r^2$. In most of the variables, the use of the 2$^{nd}$ derivative improved the predictions, mainly when combined with the SNVD treatment. However, for predicting the texture traits, the best estimation was obtained from the crude spectrum. These results showed that the equations obtained for predicting moisture, fat and total pigments were very accurate, with $r^2$ being higher that 0.9. However, the prediction of the texture traits (WB, MS, toughness) from ground meat was poor.

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Effect of Tourism Motivation for Traditional Indigenous Foods on Expectation, Community Attachment and Tourism Satisfaction in Festival Event (축제이벤트에서의 전통향토 음식체험관광에 대한 관광동기가 기대도와 지역애착 및 관광만족에 미치는 영향)

  • Kim, Jae-Gon;Song, Kyeong-Suk
    • The Journal of the Korea Contents Association
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    • v.11 no.10
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    • pp.434-448
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    • 2011
  • In this study, an empirical analysis was carried out to determine the effect of tourism motivation for traditional indigenous foods experience tourism on expectation, community attachment and tourism satisfaction in festival event. The result is as follows. First, the effect of tourism motivation for foods experience tourism on expectation of tourism products in experience event showed that exchangeable, educational, aesthetic, derivative and adventurous attributes have a positive effect on expectation of tourism products. Second, the effect of tourism motivation for foods experience tourism on community attachment in experience event showed that exchangeable, educational, aesthetic and derivative attributes have a positive effect on community attachment. Finally, expectation of tourism products and community attachment had a statistically significant effect on community attachment and tourism satisfaction, and tourism satisfaction, respectively. That suggests that the development of various food tourism resources as the tourist value, which can get tourism resources of traditional foods through festival events, could not only introduce tourists to unique food culture, but add the pleasure of delicious food and tourism. Consequently, the preservation, inheritance and development of regional indigenous foods could increased local patriotism, and develop the related industry, maximizing economic effects.

Facial Feature Detection and Facial Contour Extraction using Snakes (얼굴 요소의 영역 추출 및 Snakes를 이용한 윤곽선 추출)

  • Lee, Kyung-Hee;Byun, Hye-Ran
    • Journal of KIISE:Software and Applications
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    • v.27 no.7
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    • pp.731-741
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    • 2000
  • This paper proposes a method to detect a facial region and extract facial features which is crucial for visual recognition of human faces. In this paper, we extract the MER(Minimum Enclosing Rectangle) of a face and facial components using projection analysis on both edge image and binary image. We use an active contour model(snakes) for extraction of the contours of eye, mouth, eyebrow, and face in order to reflect the individual differences of facial shapes and converge quickly. The determination of initial contour is very important for the performance of snakes. Particularly, we detect Minimum Enclosing Rectangle(MER) of facial components and then determine initial contours using general shape of facial components within the boundary of the obtained MER. We obtained experimental results to show that MER extraction of the eye, mouth, and face was performed successfully. But in the case of images with bright eyebrow, MER extraction of eyebrow was performed poorly. We obtained good contour extraction with the individual differences of facial shapes. Particularly, in the eye contour extraction, we combined edges by first order derivative operator and zero crossings by second order derivative operator in designing energy function of snakes, and we achieved good eye contours. For the face contour extraction, we used both edges and grey level intensity of pixels in designing of energy function. Good face contours were extracted as well.

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Non-Destructive Prediction of Head Rice Ratios using NIR Spectra of Hulled Rice (정조 상태에서 백미에 대한 완전미율의 비파괴 예측)

  • Kwon, Young-Rip;Cho, Seung-Hyun;Lee, Jae-Heung;Seo, Kyoung-Won;Choi, Dong-Chil
    • KOREAN JOURNAL OF CROP SCIENCE
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    • v.53 no.3
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    • pp.244-250
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    • 2008
  • The purpose of this study was to measure fundamental data required for the prediction of milling ratios, and to develop regression models to predict the head rice ratio of milled rice using NIR spectra of hulled rice. A total of 81 rice samples used in this study were collected from Jeongeup, Jeonbuk province in 2006. NIR spectra were measured using one mode of measurement, reflection. The reflectance spectra were measured in the wavelength region of 400-2500 nm with an NIR spectrophotometer "NIRSystems 6500" (Foss, Silverspring, USA). Calibration equations were developed by the modified partial least squares (MPLS), partial least squares (PLS), and principal components regression (PCR). Math treatments were 1-4-4-1, 1-10-10-1, 2-4-4-1, and 2-10-10-1. The software used was WinISI (Infrasoft International, State College, USA). Automatic head rice production and quality checking system used was "SY2000-AHRPQCS" (Ssangyong, Korea). The calibration was made with the first derivative and the spectrum designated was in 8 nm interval. The determination coefficients of head rice ratios were 0.8353, 0.8416 and 0.5277 for the MPLS, PLS and PCR, respectively. Those obtained with 20 nm interval were 0.8144, 0.8354 and 0.6908 for the MPLS, PLS and PCR, respectively. The calibration was made with second derivative that spectrum designated was 8 nm in interval. The determination coefficients of head rice ratios were 0.7994, 0.8017 and 0.4473 for the MPLS, PLS and PCR, respectively. Those with 20 nm interval were 0.8004, 0.8493 and 0.6609 for the MPLS, PLS and PCR, respectively. These results indicate that the accuracy of determination coefficient for MPLS and PLS is higher than that of PCR.

Measurement of lipid content of compost fermentation using near-infrared spectroscopy

  • Daisuke Masui;Suehara, Ken-ichiro;Yasuhisa Nakano;Takuo Yano
    • Near Infrared Analysis
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    • v.2 no.1
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    • pp.37-42
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    • 2001
  • Near infrared spectroscopy (NIRS) was applied to determination of the lipid content of the compost during the compost fermentation of tofu (soybean0curd) refuse. The absorption of lipid observed at 5 wavelengths, 1208, 1712, 1772, 2312 and 2352 nm on the second derivative spectra. To formulated a calibration equation, a multiple linear regression analysis was carried out between the near-infrared spectral data and on the lipid content in the calibration sample set (sample number, n=60) obtained using Soxhlet extraction method. The value of the multiple correlation coefficient (R) was 0.975 when using the wavelengths of 1208 and 1712 nm were used in the calibration equation. To validate the calibration equation obtained, the lipid content in the validation sample set (n=35) not used for formulating the calibration equation was calculated using the calibration equation, and compared with the value obtained using the Soxhlet extraction method. Good agreement was observed between the results of the Soxhlet extraction method and those values of the NIRS method. The simple correlation coefficient (r) and standard error of prediction (SEP) were 0.964 and 0.815 %, respectively. suitability of the lipid content as an indicator of the compost fermentation of tofu refuse was also studied. The decrease of the lipid content in the compost corresponded to the decrease of the total dry weight of the compost in the composter. The lipid content was a significant indicator of the compost fermentation. The NIRS method was applied to measure the time course of the lipid content in the compost fermentation and good results were obtained. The study indicates that NIRS is a useful method for process management of the compost fermentation of tofu refuse.

Comparison of peripheral vascular sclerosis in diabetic groups using the second derivative of photoplethysmogram (연령별 당뇨병 환자의 PPG 2차 미분 파형의 d/a를 이용한 말초혈관 경화도 비교)

  • Shim, Young-Woo;Lee, Tak-Hyung;Ji, Hyo-Chul;Kim, Deok-Won
    • Proceedings of the KIEE Conference
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    • 2008.04a
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    • pp.125-126
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    • 2008
  • 현재, 우리나라 당뇨병의 유병률은 빠른 속도로 증가하고 있으며 당뇨병의 유병기간이 길수록 각종 합병증이 발생하며 더욱 심각한 증세를 나타내기도 한다. 그 중, 비만 및 고혈당, 당대사장애로 인한 당뇨병성 혈관 합병증과 말초 혈관 경화증이 많이 발병하고 있는 실정이다. 본 연구에서는 광혈류량 측정법(Photoplethysmograaphy)으로 손가락에서 얻어진 맥파의 2차 미분 분석을 통해 당뇨병으로 확진된 36명의 당뇨병 환자에 대해 말초혈관 경화도를 연령별로 비교하고자 하였다. 이때 사용한 PPG 파형의 2차 미분 분석 평가 인자는 a와 d이고, d/a는 혈관의 경화도를 의미하며 경화도가 클수록 d/a의 값은 감소하게 되고, 연령이 증가할수록 경화도는 증가하게 된다. 50대 미만의 당뇨병 환자의 d/a값은 $-0.32{\pm}0.12$, 50대는 $-0.48{\pm}0.13$, 60대는 $-0.55{\pm}0.16$, 70대 이상에서는 $-0.59{\pm}0.19$로 연령이 높아질수록 d/a값이 감소하는 것을 확인하였다. 또한, SPSS 13.0 for Windows(SPSS Inc, USA)의 Oneway ANOVA 분석 결과, 연령과 경화도는 통계적으로 유의한 차이를 보였다(p<0.05). 하지만 70대 이상의 당뇨병 환자 그룹에서는 유의한 차이를 확인할 수 없었다. 본 연구에서는 PPG 파형의 2차 미분 분석을 통하여 연령별 당뇨병 환자의 말초혈판 경화도를 비교하였으며, 향후 보완 연구를 통해 비침습적이고 간단한 방법으로 당뇨병 환자의 말초혈관 경화도를 객관적으로 평가하고 진단할 수 있는 시스템 개발로 당뇨병 환자들의 심혈관계질환 사전예방과 치료효과 판정에 도움을 줄 것으로 기대한다.

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