• Title/Summary/Keyword: Knot

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The Degree Reduction of B-splines using Bzier Methods (Bzier 방법을 이용한 B-spline의 차수 감소)

  • Kim, Hyeok-Jin;Kim, Tae-Wan;Wi, Yeong-Cheol;Kim, Ha-Jin
    • Journal of KIISE:Computer Systems and Theory
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    • v.26 no.8
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    • pp.875-883
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    • 1999
  • 서로 다른 기하학적 모델링 시스템에 사용되는 곡선 및 곡면의 자료 교환에서, 시스템이 지원하는 그 곡선 및 곡면의 최대 차수에 제한이 있을 때, 낮은 차수로의 차수 감소가 필요하다. 본 논문에서는 근사 변환에 의한 B-spline 곡선의 차수 감소 방법을 제시한다. 기존의 Bzier 곡선의 차수감소 방법들을 적용하고, 그 방법들을 비교 분석한다. B-spline 곡선의 knot 제거 알고리즘이 자료 감소를 위해 차수 감소 과정에 적용된다.Abstract The degree reduction of B-splines is required in exchanging parametric curves and surfaces of the different geometric modeling systems because some systems limit the supported maximal degree. We propose an approximate degree reduction method of B-spline curves using the existing Bzier degree reduction methods. Knot removal algorithm is used to reduce data in the degree reduction process.

Effect of Northern Root-knot Nematode, Meloidogyne hapla, on Growth of Codonopsis Zanceolata (당근뿌리 혹선충(Meloidogyne hapla)이 더덕(Codonopsis lanceolata)의 생육에 미치는 영향)

  • Jung Do-Chul;Han Sang-Chan
    • The Korean Journal of Soil Zoology
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    • v.8 no.1_2
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    • pp.27-31
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    • 2003
  • This study has been conducted to assess and analyze the damage of Codonopsis lanceolata by differential inoculation levels of Meloidogyne hapla in pot and plot. As the density of M. hapla increased, early growth of C. lanceolata was inhibited 60% in vine and 54% in root. However, growth of C. lanceolata was not remarkably different by density of M. hapla in the plot test. This result may be attribute to low density of M. hapla in the plot.

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Adaptive B-spline volume representation of measured BRDF data for photorealistic rendering

  • Park, Hyungjun;Lee, Joo-Haeng
    • Journal of Computational Design and Engineering
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    • v.2 no.1
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    • pp.1-15
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    • 2015
  • Measured bidirectional reflectance distribution function (BRDF) data have been used to represent complex interaction between lights and surface materials for photorealistic rendering. However, their massive size makes it hard to adopt them in practical rendering applications. In this paper, we propose an adaptive method for B-spline volume representation of measured BRDF data. It basically performs approximate B-spline volume lofting, which decomposes the problem into three sub-problems of multiple B-spline curve fitting along u-, v-, and w-parametric directions. Especially, it makes the efficient use of knots in the multiple B-spline curve fitting and thereby accomplishes adaptive knot placement along each parametric direction of a resulting B-spline volume. The proposed method is quite useful to realize efficient data reduction while smoothing out the noises and keeping the overall features of BRDF data well. By applying the B-spline volume models of real materials for rendering, we show that the B-spline volume models are effective in preserving the features of material appearance and are suitable for representing BRDF data.

Weight Control and Knot Placement for Rational B-spline Curve Interpolation

  • Kim, Tae-Wan;Lee, Kunwoo
    • Journal of Mechanical Science and Technology
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    • v.15 no.2
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    • pp.192-198
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    • 2001
  • We consider an interpolation problem with nonuniform rational B-spline curves given ordered data points. The existing approaches assume that weight for each point is available. But, it is not the case in practical applications. Schneider suggested a method which interpolates data points by automatically determining the weight of each control point. However, a drawback of Schneiders approach is that there is no guarantee of avoiding undesired poles; avoiding negative weights. Based on a quadratic programming technique, we use the weights of the control points for interpolating additional data. The weights are restricted to appropriate intervals; this guarantees the regularity of the interpolating curve. In a addition, a knot placement is proposed for pleasing interpolation. In comparison with integral B-spline interpolation, the proposed scheme leads to B-spline curves with fewer control points.

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Approximate Lofting by B-spline Curve Fitting Based on Energy Minimization (에너지 최소화에 근거한 B-spline curve fitting을 이용한 근사적 lofting 방법)

  • 박형준;김광수
    • Korean Journal of Computational Design and Engineering
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    • v.4 no.1
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    • pp.32-42
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    • 1999
  • Approximate lofting or skinning is one of practical surface modeling techniques well used in CAD and reverse engineering applications. Presented in this paper is a method for approximately lofting a given set of curves wihin a specified tolereance. It is based on refitting input curves simultaneously on a common knot vector and interpolating them to get a resultant NURBS surface. A concept of reducing the number of interior knots of the common knot vector is well adopted to acquire more compact representation for the resultant surface. Energy minimization is newly introduced in curve refitting process to stabilize the solution of the fitting problem and get more fair curve. The proposed approximate lofting provides more smooth surface models and realizes more efficient data reduction expecially when the parameterization and compatibility of input curves are not good enough. The method has been successfully implemented in a new CAD/CAM product VX Vision? of Varimetrix Corporation.

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Experimental Study of Impact Behaviors of the Membrane for LNG Storage Tank (LNG 저장탱크용 멤브레인의 충격거동에 관한 실험적 연구)

  • Kim, Young-Gyu;Kim, Chung-Kyun
    • Journal of the Korean Society of Safety
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    • v.10 no.4
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    • pp.68-74
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    • 1995
  • This paper analyzes the behaviors of the membrane under drop impact loadings using the acoustic emission technique. The analysis is useful for evaluating the strength of the membrane as well as for studying its damping characterisics due to the corrugation and the ring knot. The membrane for LNG storage tank is basically composed linear and circular elements. Two membrane specimens have approximately same drop impact mass and same drop speed. Locan 320 system with piezoelectric sensor is used in the experimental measurement. Experimental results for the membranes indicated that AE siganls having higher energies were generated with increasing drop impact loadings. It was confirmed that the ring knot. membrane has high absorption of drop impact loadings in comparison with the flat membrane. These results are very important to reliable design and to improve the safey of the membrane components.

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THE BASKET NUMBERS OF KNOTS

  • Bang, Je-Jun;Do, Jun-Ho;Kim, Dongseok;Kim, Tae-Hyung;Park, Se-Han
    • Korean Journal of Mathematics
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    • v.23 no.1
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    • pp.115-128
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    • 2015
  • Plumbing surfaces of links were introduced to study the geometry of the complement of the links. A basket surface is one of these plumbing surfaces and it can be presented by two sequential presentations, the first sequence is the flat plumbing basket code found by Furihata, Hirasawa and Kobayashi and the second sequence presents the number of the full twists for each of annuli. The minimum number of plumbings to obtain a basket surface of a knot is defined to be the basket number of the given knot. In present article, we first find a classification theorem about the basket number of knots. We use these sequential presentations and the classification theorem to find the basket number of all prime knots whose crossing number is 7 or less except two knots $7_1$ and $7_5$.

The Development of Wall Membrane for LNG Storage Tank (LNG 저장탱크용 벽체 멤브레인 개발)

  • Oh, B.T.;Hong, S.H.;Yoon, I.S.;Kim, Y.K.;Seo, H.S.
    • Proceedings of the KSME Conference
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    • 2001.06a
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    • pp.907-912
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    • 2001
  • KOGAS had developed the Ring-knot membrane for LNG storage tank. But we found that some modifications were needed in using the Ring-knot membrane for the commercial LNG storage tanks. So, both analytical and experimental studies have been performed to investigate the strength of the new membrane and the reaction force at the anchor point. Using nonlinear FEM code and experiments, the stress analysis of the new corrugated membrane shapes subject to the cryogenic liquid pressure and thermal loading are performed to ensure the stability and fatigue strength of the new membrane. This paper reports on the results of investigations into this new type of membrane.

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On the Braid Index of Kanenobu Knots

  • Takioka, Hideo
    • Kyungpook Mathematical Journal
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    • v.55 no.1
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    • pp.169-180
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    • 2015
  • We study the braid indices of the Kanenobu knots. It is known that the Kanenobu knots have the same HOMFLYPT polynomial and the same Khovanov-Rozansky homology. The MFW inequality is known for giving a lower bound of the braid index of a link by applying the HOMFLYPT polynomial. Therefore, it is not easy to determine the braid indices of the Kanenobu knots. In our previous paper, we gave upper bounds and sharper lower bounds of the braid indices of the Kanenobu knots by applying the 2-cable version of the zeroth coefficient HOMFLYPT polynomial. In this paper, we give sharper upper bounds of the braid indices of the Kanenobu knots.

Development of Meloidogyne arenaria on Oriental Melon (Cucumis melo L.) in Relation to Degree-day Accumulation Under Greenhouse Conditions

  • Kim, Dong-Geun;Yeon, Il-Kwon
    • The Plant Pathology Journal
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    • v.17 no.3
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    • pp.159-163
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    • 2001
  • Influence of soil temperature [accumulated degree-day for the base temperature $5^{\circ}$($\textrm{DD}_5$)] on the development of Meloidogyne arenaria were studied in a winter grown oriental melon greenhouse in Seongju, Korea. Egg masses were first observed on roots at the accumulation of 565 $\textrm{DD}_5$(40 days after transplanting), suggesting that the nematode has completed the first generation in 40 days. Second-stage juveniles (J2) densities were lowest at 863 $\textrm{DD}_5$ in April, first increased at 1,334 $\textrm{DD}_5$ in May, peaked at 2,951 $\textrm{DD}_5$ in July, and decliner thereafter. Development of egg masses and J2 density in soil revealed that M. arenaria could develop in 7-8 generations in a year in the greenhouse. Degree-day monitoring, therefore, could aid to predict nematode development in soil and can be valuable tool a to develop root-knot nematode control strategies.

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