Results 271 to 280 of about 1,170,819 (338)

Least squares 2D bi-cubic spline approximation: Theory and applications

Measurement: Journal of the International Measurement Confederation, 2018
Smooth surface approximation plays an important role in many applications. As an extension of the 2D bi-cubic spline interpolation, we propose the least squares 2D bi-cubic spline approximation (LS-BICSA).
Alireza Amiri-Simkooei, Abdolreza Safari   +1 more
exaly   +2 more sources

Spline approximation of offset curves

Computer Aided Geometric Design, 1988
By using Bézier-splines and rational Bézier-splines, the author discusses the approximation of offset curves. In order to determine the approximating splines, the author presents algorithms for Bézier- splines with G 1 and G 2-continuity, and for rational Bézier-splines with G 1-continuity. An example illustrates the usefulness of the algorithms.
Josef Hoschek
exaly   +2 more sources

An error-bounded B-spline curve approximation scheme using dominant points for CNC interpolation of micro-line toolpath

Robotics and Computer-Integrated Manufacturing, 2020
This paper presents a unified framework for computing a B-spline curve to approximate the micro-line toolpath within the desired fitting accuracy. First, a bi-chord error test extended from our previous work is proposed to select the dominant points that
Limin Zhu
exaly   +2 more sources

Nonlinear Nonnested Spline Approximation

Constructive Approximation, 2016
Linear 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   +2 more sources

Optimal arc spline approximation

Computer Aided Geometric Design, 2014
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
G. Maier
openaire   +2 more sources

B-Spline Approximation for Polynomial Splines

Signal Processing Applications Using Multidimensional Polynomial Splines, 2018
This 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, Madhusudan Singh, Zaynidinov Hakimjon   +2 more
openaire   +2 more sources

The deep neural network solver for B-spline approximation

Comput. Aided Des., 2022
Automatically determining knot number and positions is a fundamental and challenging problem in B-spline approximation. In this paper, the knot placement is abstracted as a mapping from initial knots to the optimal knots. We innovatively introduce a deep
Zepeng Wen, Jiaqi Luo, Hongmei Kang
semanticscholar   +1 more source

B-spline approximation of a wavefront measured by Shack-Hartmann sensor

Optical Engineering + Applications, 2021
Conventional Shack-Hartmann sensor uses Zernike polynomials in order to approximate the wavefront of the light. Zernike approximation is well-known, well-established and widely used technique. And in most cases the quality of approximation is good enough,
I. Galaktionov, A. Nikitin, J. Sheldakova, A. Kudryashov   +3 more
semanticscholar   +1 more source

Nonholonomic motion planning for a free-falling cat using spline approximation

, 2012
An optimal motion planning of a free-falling cat based on the spline approximation is investigated. Nonholonomicity arises in a free-falling cat subjected to nonintegrable velocity constraints or nonintegrable conservation laws.
X. Ge, Zhengxiong Guo
semanticscholar   +2 more sources

On Approximation by Hyperbolic Splines

Journal of Mathematical Sciences, 2019
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Kulikov, E. K., Makarov, A. A.
openaire   +1 more source