Abstract

In B-spline curve reconstruction to a set of ordered points, the numerical stability of the approximation system and the quality of reconstruction curve are unknown, these factors lead to the wiggle and deviation of the approximation curve. To avoid these problems, we propose a reconstruction algorithm from local fitting to whole fitting in this paper. This approach takes two steps: 1.Construct a curve with low degree by local fitting data points, which is named controlling curve. 2. Find another B-spline curve to approximate the controlling curve using the best least approximation. In this algorithm, the controlling curve has a arc-length parameterization , which reflects the distribution of the data points; and the system of this method is always positive so that we needn’t consider the singularity of this system.

Talk to us

Join us for a 30 min session where you can share your feedback and ask us any queries you have

Schedule a call

Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.