MATLAB Implementation for B-Spline Curve Fitting from Arbitrary Point Coordinates

Resource Overview

A MATLAB-based algorithm for fitting B-spline curves to arbitrary given point coordinates, featuring clear mathematical implementation and adjustable parameters for optimized curve approximation.

Detailed Documentation

Given a set of arbitrary point coordinates, this implementation enables fitting B-spline curves to generate smooth approximations. B-spline curves serve as fundamental mathematical models for data approximation and interpolation tasks. The MATLAB code implements a well-defined algorithm that computes B-spline curves based on input coordinates, incorporating key functions for parameter adjustment to enhance fitting precision. The algorithm utilizes MATLAB's curve fitting toolbox functions like spapi for spline interpolation or custom implementations of De Boor's algorithm for B-spline calculation. Users can modify parameters including knot vector configuration, spline degree, and control point weights to achieve optimal smoothness and accuracy. This approach provides a robust solution for generating high-precision curves that effectively approximate and interpolate complex datasets while maintaining computational efficiency.