Results 261 to 270 of about 94,284 (293)
Some of the next articles are maybe not open access.
Approximate conversion of spline curves
Computer Aided Geometric Design, 1987An 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 with diversified B-splines
Computer Aided Geometric Design, 2014zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ulrich Reif, Nada Sissouno
openaire +2 more sources
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
openaire +1 more source
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
openaire +1 more source
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.
openaire +2 more sources
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
openaire +1 more source
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
openaire +1 more source
Optimal arc spline approximation
Computer Aided Geometric Design, 2014zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire +1 more source
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
openaire +2 more sources
A survey on spherical spline approximation
1995This survey gives the development of spline functions that approximate data on a sphere in a weighted Sobolev space setting. Convergence properties and error bounds are given for interpolating splines. The role of spherical spline approximation in earth's gravitational field determination and geoid computation is explained.
Freeden, Willi +2 more
openaire +2 more sources