• 한국CDE학회논문집
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• 제4권4호
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• pp.312-317
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• 1999

An inflection point on a curve is a point where the curvature vanishes. An inflection point is useful for various geometric operations such as the approximation of curves and intersection points between curves or curve approximations. An inflection point on planar Bezier curves can be easily detected using a hodograph and a derivative of hodograph, since the closed from of hodograph is known. In the case of rational Bezier curves, for the detection of inflection point, it is needed to use the first and the second derivatives have higher degree and are more complex than those of non-rational Bezier curvet. This paper presents three methods to detect inflection points of rational Bezier curves. Since the algorithms avoid explicit derivations of the first and the second derivatives of rational Bezier curve to generate polynomial of relatively lower degree, they turn out to be rather efficient. Presented also in this paper is the theoretical analysis of the performances of the algorithms as well as the experimental result.

• 전기학회논문지
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• 제62권4호
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• pp.562-565
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• 2013

A new variable rate speech coding technique is proposed. The method is based on the observation that the speech signal approximately looks linear for a very short period of time. The information transmitted is the location and data value of inflection points. If the distance between the inflection points is large, the mid point location and its data value are also delivered. Thus, the encoder transmits both the location and the data value for the inflection samples, but the location only for the non-inflection points. The location information is expressed using one bit for each sample, 0 for non-inflection and 1 for inflection point. At the receiver, using the interpolation, the decoder estimates the untransmitted sample values for non-inflection locations from the received sample values for the inflection samples. With 50 % of computational cost of the existing CVSD delta modulation, the proposed method is expected to achieve the data rate of 36 to 38 kbps and the SNR of 10 to 13 dB.

• 한국지반공학회:학술대회논문집
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• 한국지반공학회 2000년도 가을 학술발표회 논문집
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• pp.681-688
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• 2000

This study presented the new method for evaluating the coefficient of consolidation by using inflection point method which was based on the fact that time factor, T corresponding to the inflection point of a semilogarithmic plot of a time curve is fixed and equals to T ＝ 0.405 at 70% consolidation. In the proposed method, the next load increment is applied as soon as the necessary time required to identify the inflection point. Thus, the coefficient of consolidation may be easily evaluated. The time required to complete the testing using this rapid consolidation method could be as low as 1.5-3 hours compared with 1 or 2 weeks in the case of the conventional consolidation test.

• 한국지반공학회논문집
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• 제18권4호
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• pp.85-93
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• 2002

본 연구에서는 Cour(1971)가 제안한 변곡점법(Inflection Point Method)을 이용하여 압밀계수를 예측하기 위한 새로운 방법을 소개하였다. 여기서, 변곡점은 압밀도(U)와 시간계수(log T) 관계곡선의 변곡점 중에서 압밀도($U_i$)가 70.03% 일 때의 시간계수 $T_i$=0.405에 상응하는 점이다. 제안된 변곡점법에 의한 신속한 압밀시험 방법에서 각 단계별 하중재하는 변곡점을 확인한 직후에 이루어지므로 압밀시험에 소요되는 시간을 단축시킬 수 있으며, 압밀계수를 빠른 시간 내에 쉽게 구할 수 있다. 이 신속한 압밀시험법에 소요되는 시간은 기존의 압밀시험의 경우 1주 또는, 2주의 기간이 소요되는데 비하여 0.5시간~9시간이 소요되므로 압밀시험을 보다 신속히 완료할 수 있다. 본 연구에서는 보다 정규화된 결과를 얻고자 침강장치를 고안하였으며, 그 결과의 분석에서 비 교란시료의 압밀정수들과 잘 부합하는 것으로 나타났다.

• 한국수학교육학회지시리즈B:순수및응용수학
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• 제29권4호
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• pp.353-368
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• 2022

In the previous paper [4], we classified the Weierstrass semigroups at a pair of inflection points of multiplicities d and d - 1 on a smooth plane curve of degree d. In this paper, as a continuation of those results, we classify all semigroups each of which arises as a Weierstrass semigroup at a pair of inflection points of multiplicities d, d - 1 and d - 2 on a smooth plane curve of degree d.

• 대한전자공학회논문지SP
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• 제42권4호
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• pp.127-132
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• 2005

가상현실을 이용한 사람의 빠른 움직임을 추출하여 파형으로 나타내는 동작곡선이나 자연계에서 실제로 관측되는 대기 전기변동량과 같은 전자계 신호의 시간 변동량은 매우 복잡하다. 이러한 신호의 관측파형에 대하여 변곡점과 같은 신호의 특징을 정확히 결정하는 것이 중요하다. 잡음이 신호에 중첩될 때 종래의 방법으로는 변곡점의 검출이 어렵다. 본 논문에서는 신호에 잡음이 첨가될 때 웨이브릿 임계치 잡음제거와 정규형 자연관측필터를 적용하여 정확한 변곡점 추출이 가능함을 보인다.

• 전기학회논문지
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• 제62권12호
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• pp.1750-1754
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• 2013

A variable bit rate speech coder is presented. The coder is based on the observation that a speech signal can be viewed as a combination of piecewise linear signals in a short time period. The encoder detects the sample points where the slope of the signal changes, which are called the inflection points in this paper. The coder transmits the location and value for the detected inflection sample, but only the location information for the noninflection samples. In the decoder, the noninflection samples are estimated with interpolation of the received information. Several factors affecting the performance of the coder have been tested through simulation. Simulation results show that the linear interpolation produces 1 ~ 5 dB improvement over the cubic spline interpolation. And the -law companding does not provide any benefit when it is applied before the inflection detection. With low threshold values in the inflection point detection, the coder shows better MOS and more than 16 dB improvement in SNR compared to the continuously variable slope delta modulation (CVSDM).

• 한국정밀공학회지
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• 제20권11호
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• pp.166-170
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• 2003

Contouring errors are important especially for high speed and precision machining. In this study, contouring errors along contours having inflection points are studied. When a table of a machine tool moves along a circular path, acceleration acts toward the center of the circle. Thus, at inflection points, acceleration as well as inertia force changes its direction abruptly. The effect of inertia force on the contouring error is investigated in this study. It is found that the contouring error at an inflection point is proportional to the acceleration. This result can be useful in determining contouring errors along general paths.

• 한국의류산업학회지
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• 제11권5호
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• pp.788-798
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• 2009

This study aims to develop a highly reproducible, optimal frame design algorithm using variations in the curvature of armscye circumference, which will provide the basics for remodeling the 3D human body shape with the concept of reverse design used to develop total contents for the apparel industry. 1. The results of the experiment proved that ratio value was significantly efficient than absolute value of curvature variation to extract feature points in the armscye circumference 2. For the shoulder(1st and 2nd quadrant) and front armhole(3rd quadrant) parts of the armscye circumference, frame remodeling with the positive point of inflection led to the completion of a highly reproducible frame. 3. Similarly, even for the rear armhole part(4th quadrant) in the armscye circumference, it was found that frame remodeling using the positive maximum point of inflection resulted in highly reproducible body shape with the maximum point of inflection situated within the range of split angles $305^{\circ}{\sim}330^{\circ}$, while frame remodeling using simultaneously the two largest points of inflection including maximum point of inflection led to highly reproducible body shape with the maximum point of inflection out of the range $305^{\circ}{\sim}330^{\circ}$. 4. Based upon the optimal frame design algorithm developed in this study, section-specific feature points in the armscye circumference were extracted depending on the rate of curvature variation and remodeling with spline curves was conducted. The results indicate a remarkably high reproducibility(98.6%) and suggest that the algorithm developed in this study is suitable for human body modeling.

• 대한수학회보
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• 제44권2호
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• pp.369-378
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• 2007

We classify all semigroups each of which arises as a Weierstrass semigroup at a pair of inflection points of multiplicities d or d-1 on a smooth plane curve of degree d.