Abstract
<p indent=0mm>To reconstruct curves and surfaces robustly from scattered data, an implicit progressive-iterative algorithm with compactly supported radial basis functions based on the variational quasi-interpolation method is proposed. Firstly, the non-zero constraint of the implicit function is constructed using normal vectors at the given points, an iterative scheme for calculating coefficients of the implicit function is developed and its convergence is discussed. Secondly, by introducing an acceleration factor, the implicit progressive-iteration algorithm is sped up, and the convergence is analyzed. Finally, the accelerated algorithm is modified to decrease the space and time complexity. Numerical experiments show that the algorithm is effective for curve and surface reconstruction, and it also achieves good results for reconstructing from data with missing samples, non-uniform distribution, and noises. Moreover, it is simple to implement and easy to process in parallel.
Sign-in/Register to access full text options 
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 callMore From: Journal of Computer-Aided Design & Computer Graphics
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.
