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A Coal Mine Tunnel Deformation Detection Method Using Point Cloud Data. [PDF]
Sensors (Basel)Kang J, Li M, Mao S, Fan Y, Wu Z, Li B.
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New shape control tools for rational Bézier curve design
Computer Aided Geometric Design, 2021 Bézier curves are indispensable for geometric modelling and computer graphics. They have numerous favourable properties and provide the user with intuitive tools for editing the shape of a parametric polynomial curve. Even more control and flexibility can
Kai Hormann
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Mechanics based design of structures and machines, 2023
This article presents a generalized model of two-axis flexure hinges based on quadratic rational Bézier curve. The generalized closed-form compliance equations are derived based on the virtual work theory and the superposition relationship of the ...
Xuewen Wang +4 more
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This article presents a generalized model of two-axis flexure hinges based on quadratic rational Bézier curve. The generalized closed-form compliance equations are derived based on the virtual work theory and the superposition relationship of the ...
Xuewen Wang +4 more
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A new bound on the magnitude of the derivative of rational Bézier curve
Computer Aided Geometric Design, 2013Chongyang Deng
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On the derivative formula of a rational Bézier curve at a corner
Applied Mathematics and Computation, 2009Hongwei Lin
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The quasi-frame of the rational and polynomial Bezier curve by algorithm method in Euclidean space
Engineering computations, 2023PurposeFrames play an important role in determining the geometric properties of the curves such as curvature and torsion. In particular, the determination of the point types of the curve, convexity or concavity is also possible with the frames.
Hatice Kuşak Samancı
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A simple method for approximating rational Bézier curve using Bézier curves
Computer Aided Geometric Design, 2008Youdu Huang, Huaming Su, Hongwei Lin
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Quadratic Rational h-Bézier Curve with Monotonic Curvature
Journal of Computer-Aided Design & Computer Graphics: The h -Bézier curves are a family of generalized Bézier curve, by adding positive real weights, the obtained rational h -Bézier curve can represent conic sections ...
Zimeng Li, Bingyong Xie, Li-wen Han
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Natural Extension of Rational Bézier Curves
Journal of Computer-Aided Design & Computer Graphics: The natural extension of a freeform curve has the advantageous properties of preserving both the number of control points and the parameterization. To extend a rational Bézier curve to a specified length, a method to calculate the natural extension of ...
Yingjie Wu, Yanru Chen, Xiaowei Li
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Direction monotonicity for a rational Bézier curve
Applied Mathematics-A Journal of Chinese Universities, 2016Wan-qiang Shen +2 more
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