The Experts below are selected from a list of 72 Experts worldwide ranked by ideXlab platform
Youngjoon Ahn - One of the best experts on this subject based on the ideXlab platform.
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limit Curve of h Bezier Curves and Rational Bezier Curves in standard form with the same weight
Journal of Computational and Applied Mathematics, 2015Co-Authors: Ryeong Lee, Youngjoon AhnAbstract:The basis of H-Bezier Curves of degree n is 1 , t , ? , t n - 2 , sinh α t and cosh α t , for t ? 0 , 1 ] . We find the limit Curve of H-Bezier Curves of degree n as a parameter α goes to ∞ , which is the Bezier Curve of degree n - 2 , and prove it using mathematical induction and special properties of H-basis functions. We also compare it to the limit Curve of Rational Bezier Curves of degree n in standard form with the same weight w as it goes to ∞ , which is the Rational Bezier Curve of degree n - 2 .
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circle approximation using ln Bezier Curves of even degree and its application
Journal of Mathematical Analysis and Applications, 2014Co-Authors: Youngjoon Ahn, Christoph M HoffmannAbstract:Abstract We present an approximation method of circular arcs using linear-normal (LN) Bezier Curves of even degree, four and higher. Our method achieves G m continuity for endpoint interpolation of a circular arc by a LN Bezier Curve of degree 2m, for m = 2 , 3 . We also present the exact Hausdorff distance between the circular arc and the approximating LN Bezier Curve. We show that the LN Curve has an approximation order of 2 m + 2 , for m = 2 , 3 . Our approximation method can be applied to offset approximation, so obtaining a Rational Bezier Curve as an offset approximant. We derive an algorithm for offset approximation based on the LN circle approximation and illustrate our method with some numerical examples.
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tangent direction of quadratic Rational Bezier Curve
Honam Mathematical Journal, 2007Co-Authors: Youngjoon AhnAbstract:In this paper we find the point at which the Rational Bzier Curve has the given tangent direction. We also analyze the geometric properties of the point of quadratic Rational Bzier Curve.
Cam Laborat - One of the best experts on this subject based on the ideXlab platform.
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study of curvature monotony condition for the quadratic Rational Bezier Curves
Computer-Aided Design and Computer Graphics, 2000Co-Authors: Cam LaboratAbstract:The curvature monotony condition for the quadratic Rational Bezier Curve is derived, which possesses more degree of freedom than the non Rational one. The result shows that for arbitrary three control points, a cluster of Curves with monotone curvature are always available if the angle between two control edges is not less than 90 degree. By using different weight factors, we can get not only a parabola with monotone curvature, but also an ellipse and hyperbola.
D S Meek - One of the best experts on this subject based on the ideXlab platform.
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g2 Curve design with planar quadratic Rational Bezier spiral segments
International Journal of Computer Mathematics, 2013Co-Authors: D J Walton, D S MeekAbstract:Spiral segments are useful in the design of fair Curves. They are important in computer-aided design CAD and manufacturing applications, the design of highway and railway routes, trajectories of mobile robots, and other similar applications. Quadratic Rational Bezier Curves are often used in CAD applications because they can be used to draw conic sections exactly. This paper shows how curvature continuous Curves can be designed using quadratic Rational Bezier Curve segments of monotone curvature.
D J Walton - One of the best experts on this subject based on the ideXlab platform.
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g2 Curve design with planar quadratic Rational Bezier spiral segments
International Journal of Computer Mathematics, 2013Co-Authors: D J Walton, D S MeekAbstract:Spiral segments are useful in the design of fair Curves. They are important in computer-aided design CAD and manufacturing applications, the design of highway and railway routes, trajectories of mobile robots, and other similar applications. Quadratic Rational Bezier Curves are often used in CAD applications because they can be used to draw conic sections exactly. This paper shows how curvature continuous Curves can be designed using quadratic Rational Bezier Curve segments of monotone curvature.
K Janchitrapongvej - One of the best experts on this subject based on the ideXlab platform.
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bernstein polynomial and Rational Bezier Curve for blood pressure simulation
IEEE Region 10 Conference, 2016Co-Authors: Isoon Kanjanasurat, Vanvisa Chutchavong, V Pirajnanchai, K JanchitrapongvejAbstract:This paper presents blood pressure waveform simulation using the Bernstein polynomial model, Bezier-Bernstein model, and Rational Bezier-Bernstein model. All mathematical models can generate the blood pressure waveform which is similar to the normal blood pressure waveform. Moreover, all mathematical models can simulate a normal blood pressure waveform as well. As the results, the Rational Bezier-Bernstein model is a simple form, low order, easy to implement in the microcontroller.
