Results 11 to 20 of about 7,019,409 (296)
Application of Legendre–Bernstein basis transformations to degree elevation and degree reduction [PDF]
Computer Aided Geometric Design, 2002 We study the relationship of transformations between Legendre and Bernstein basis. Using the relationship, we present a simple and efficient method for optimal multiple degree reductions of Bezier curves with respect to the L2-norm.
Byung-Gook Lee +2 more
openaire +3 more sources
Reduction systems and degree bounds for integration [PDF]
Journal of Symbolic Computation45 pages; accepted ...
Hao Du, Clemens G. Raab
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Good degree reduction of Bézier curves using Jacobi polynomials [PDF]
Computers and Mathematics With Applications, 2000 The constrained Chebyshev polynomial is the error function of the best degree reduction of polynomial with C1-continuity. In this paper, we propose the constrained Jacobi polynomial as an alternative error function for good degree reduction. Although the
Kim, H.J., Ahn, Y.J.
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Multiple degree elevation and constrained multiple degree reduction for DP curves and surfaces [PDF]
Computers and Mathematics With Applications, 2011 In this paper, the problem of single and multiple degree elevation and reduction for DP curves and surfaces is considered and expressed in matrix representations. Using monomial matrix representations of the univariate DP polynomials, single and multiple
Natasha Dejdumrong
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Constrained multi-degree reduction with respect to Jacobi norms
Computer Aided Geometric Design, 2016 We show that a weighted least squares approximation of Bézier coefficients with factored Hahn weights provides the best constrained polynomial degree reduction with respect to the Jacobi L2L2-norm.
Michael Barton, Rachid Ait-Haddou
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A unified matrix representation for degree reduction of Bézier curves
Computer Aided Geometric Design, 2004 In this paper, we show the degree reduction of Bézier curves in a matrix representation. Most degree reduction algorithms have been described as a set of recursive equations which are based on the inverse problem of degree elevation.
Namyong Lee, Hasik Sunwoo
exaly +1 more source
Degree reduction of composite Bézier curves [PDF]
Applied Mathematics and Computation, 2017 This paper deals with the problem of multi-degree reduction of a composite Bézier curve with the parametric continuity constraints at the endpoints of the segments. We present a novel method which is based on the idea of using constrained dual Bernstein polynomials to compute the control points of the reduced composite curve.
Przemyslaw Gospodarczyk +2 more
openaire +4 more sources
Evaluation of Siltation Degree of Permeable Asphalt Pavement and Detection of Noise Reduction Degree
Applied Sciences, 2020 This study mainly uses PFC (particle follow code) to simulate the void characteristics of permeable asphalt mixture, and uses these to simulate the silting process.
Shuang Chen +4 more
doaj +1 more source
Energies, 2023 Although inlet bent pipes are usually adopted due to limited installation space, the influences of different bend pipes on the inlet flow characteristics and performance of centrifugal compressors are still unclear.
Xing Li +6 more
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Review and Thermodynamic Calculation of Gas-based Shaft Furnace Direct Reduction Ironmaking [PDF]
E3S Web of Conferences, 2020 Different techniques have been used to study the reduction process of iron ore. In this paper, the reduction process of iron ore by CO at 200~1200°C is calculated.
Luo Weiming
doaj +1 more source