We present a novel method that approximates unorganized data points with a B-spline curve that starts with some properly specified initial curve and converges through iterative optimization towards the target shape of data points.

This document describes how to t a set of data points with a B-spline curve using a least-squares algorithm. The construction allows for any dimension for the data points. A typical application is to t keyframes for animation sequences, whether the data is positional (3D) or rotational using quaternions (4D).

B-splines can be used for curve-fitting and numerical differentiation of experimental data. In computer-aided design and computer graphics , spline functions are constructed as linear combinations of B-splines with a set of control points.

2021年11月21日 · B-spline (Basis spline) interpolation is a generalization of cubic spline interpolation and it involves finding a B-spline curve that passes through each of the given data points. The SciPy API provides the BSpline class to implement B-spline fitting for a given data.

B-spline curves are an important element in curve fitting, with many practical applications. Learn why in our brief article. A B-spline curve has many uses, ranging from regression analysis to computer graphics representations.

2007年6月1日 · The proposed approach for B-spline curve fitting takes four main steps: parameterization, dominant point selection, knot placement, and least-squares minimization. The approach is substantially different from the conventional approaches in knot placement and dominant point selection.

We present a novel and efficient method, called squared distance minimization (SDM), for computing a planar B-spline curve, closed or open, to approximate a target shape defined by a point cloud, i.e., a set of unorganized, possibly noisy data points.

Introduction. In Curve Fitting Toolbox, a piecewise polynomial, or pp, function in B-form is often called a spline.. The B-form of a (univariate) pp is specified by its (nondecreasing) knot sequence t and by its B-spline coefficient sequence a.. Given the knot sequence and coefficient sequence of a pp, the command spmak returns the corresponding B-form, for use in commands such as …

2012年10月1日 · We propose a novel method for fitting B-spline curve to unorganized data points. Our method avoids computing foot points and solving linear system in every iteration. We demonstrate that our method is much faster than several traditional methods.

2024年8月30日 · This paper proposes a B-spline curve fitting method based on an improved sparrow search algorithm (SSA), aiming to achieve high-precision curve fitting with the fewest control points.