Results 291 to 300 of about 1,170,819 (338)

Convex Approximation by Splines

SIAM Journal on Mathematical Analysis, 1981
Jackson type estimates are obtained for the approximation of convex functions by convex splines with equally spaced knots. The results are of the same order as the Jackson type estimates for unconstrained approximation by splines with equally spaced knots.
openaire   +2 more sources

Approximation by Minimal Splines

Journal of Mathematical Sciences, 2013
The author gives an abstract result about the rest of Lagrange type interpolation splines. This result applies to a different method used by the author in previous results on the same subject method.
openaire   +2 more sources

Approximation based on elliptic splines

International Journal of Wavelets, Multiresolution and Information Processing, 2014
In 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
openaire   +1 more source

Approximation by Discrete GB-Splines

Numerical Algorithms, 2001
Discrete generalized splines are continuous piecewise defined functions which meet some smoothness conditions for the first and second divided difference at the knots. They are a generalization both of smooth generalized splines and classic discrete cubic splines. The paper is devoted to the study of generalized splines.
openaire   +2 more sources

Approximate conversion of spline curves

Computer Aided Geometric Design, 1987
An algorithm is presented that approximates: a) a high degree spline curve by one of lower degree and with more segments, or b) a low degree spline curve by one of higher degree but with more pieces. The curvature of the approximations is studied. The method involved concepts of geometric continuity.
openaire   +1 more source

Approximation by Splines

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
openaire   +1 more source

On the approximation power of bivariate splines

Advances in Computational Mathematics, 1998
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ming-Jun Lai, Larry L. Schumaker
openaire   +2 more sources

Approximation with diversified B-splines

Computer Aided Geometric Design, 2014
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ulrich Reif, Nada Sissouno
openaire   +2 more sources

Approximation by discrete spline interpolation

2010 11th International Conference on Control Automation Robotics & Vision, 2010
For 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
openaire   +1 more source

Approximate conversion of rational splines

Computer Aided Geometric Design, 1989
During 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.
openaire   +2 more sources