Results 251 to 260 of about 626,155 (280)
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2010
In this chapter we want to give a taste to the reader of the wide area of approximation theory. This is a very large subject, ranging from analytical to even engineering-oriented topics. We merely point out a few facts more closely related to our main treatment. We refer to [70] for a review of these topics.
Corrado De Concini, Claudio Procesi
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In this chapter we want to give a taste to the reader of the wide area of approximation theory. This is a very large subject, ranging from analytical to even engineering-oriented topics. We merely point out a few facts more closely related to our main treatment. We refer to [70] for a review of these topics.
Corrado De Concini, Claudio Procesi
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Approximation based on elliptic splines
International Journal of Wavelets, Multiresolution and Information Processing, 2014In this paper, we study the elliptic splines which include the well-known polyharmonic B-splines. We analyze their Fourier transforms, decay behaviors and polynomial reproducing properties. We also study the order of approximation in Sobolev spaces and consider their characterizations of Besov spaces by the scale projection operators, quasi ...
Zhuyuan Yang, Zongwen Yang
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On the approximation power of bivariate splines
Advances in Computational Mathematics, 1998zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ming-Jun Lai, Larry L. Schumaker
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Nonlinear Nonnested Spline Approximation
Constructive Approximation, 2016Linear and in particular non-linear spline approximation is a most useful tool in the approximation of for instance two-dimensional functions. Usually, piecewise polynomial splines with more and more refined knot-sequences are considered as elements of nested spaces spanned by splines. Generalising from this point of view, it is interesting to consider
Lind, Martin, Petrushev, Pencho
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Generation of Spline Approximations to Tessellations
2008In geometrical modeling, one is often provided a description of a surface that is defined in terms of a triangulation, which is supported by a discrete number of nodes in space. These faceted surface representations are defined to be C-0 continuous, and therefore in general have slope and curvature discontinuities at the triangle sides, unless the ...
John F. Dannenhoffer, Robert Haimes
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Approximation by discrete spline interpolation
2010 11th International Conference on Control Automation Robotics & Vision, 2010For a function f(t) defined on the discrete interval N[a, b + 2] = {a, a + 1, …, b + 2}, we develop a class of quintic discrete spline interpolate S ρ f(t) that involves only differences. Further, explicit error bounds are offered in the form of the inequality ||f-H ρ f||≤d j max/t∊N[a, b+2-j] |Δj f(t)|, 2≤j≤6 where the constants d j , 2 ≤ j ≤ 6 are
Fengmin Chen, Patricia J. Y. Wong
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B-Spline Approximation for Polynomial Splines
2018This chapter has discussed specialised computing structure for running B-spline approximation. The spline functions and generalised spectral methods are widely used for the analysis and recovery of signals. The broken spline function is the simplest and historical example of splines. Spline functions are a developing field of the function approximation
Dhananjay Singh +2 more
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Approximate conversion of rational splines
Computer Aided Geometric Design, 1989During exchange of data between different geometric modeling systems, approximate conversions of rational Bézier and B-spline curves and surfaces to lower degree integral B-spline representations are required. Accurate such conversions are required in many modeling environments.
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Approximation and Modeling with B-Splines
2013B-splines are fundamental to approximation and data fitting, geometric modeling, automated manufacturing, computer graphics, and numerical simulation. With an emphasis on key results and methods that are most widely used in practice, this textbook provides a unified introduction to the basic components of B-spline theory: approximation methods ...
Klaus Höllig, Jörg Hörner
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Optimal arc spline approximation
Computer Aided Geometric Design, 2014zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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