Abstract
An algorithm to achieve smooth stitching between curved patches is presented. The algorithm adopts the inverse of the B-spline to find the control vertices of the common boundary of two curved blocks or multiple blocks; and then, the control vertex column vector that satisfies the condition given, which is determined by application of the continuous condition of surface \( G^{1} \), is applied to substituting the original control vertex. In this algorithm, the smoothness of stitched surface is higher, and smooth stitching can be achieved by modifying one set of control vertices. The conditions for smooth stitching of two surfaces are verified, and the smooth stitching degree of the algorithm under different parameters is also tested.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Du WH, Schmitt FJM (1990) On the G1 continuity of piecewise Bezier surface: a review with new results. Comput -Aided Des 7(1–4):165–180
Shi X, Zhao Y (2002) G1 continuous conditions between Bicubic B-Spline surfaces. J Comput -Aided Des Graph 14(7):676–682
Che XJ, Liang XZ (2002) G1 continuity conditions of B-spline surfaces. Northeast Math J 18(4):343–352
Shi FZ (1994) Computer aided geometric design and non-uniform rational B-spline. Beijing University of Aeronautics and Astronautics Press
Shi XQ, Wang TJ, Wu PR et al (2004) Reconstruction of convergent G1 smooth B-spline surfaces. Comput Aided Geom Des 21:893–913
Acknowledgments
This work was supported by ‘Study on Key technologies of Parallel Robot for Minimally Invasive Spine Surgery’, Scientific Research Project of Shanghai Municipal Science and Technology Commission, (Projection No. 16090503700).
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2020 Springer Nature Singapore Pte Ltd.
About this paper
Cite this paper
Jing, X., Zhang, Y. (2020). A B-Spline Surface Stitching Algorithm Based on Point Cloud Data. In: Jia, Y., Du, J., Zhang, W. (eds) Proceedings of 2019 Chinese Intelligent Systems Conference. CISC 2019. Lecture Notes in Electrical Engineering, vol 594. Springer, Singapore. https://doi.org/10.1007/978-981-32-9698-5_9
Download citation
DOI: https://doi.org/10.1007/978-981-32-9698-5_9
Published:
Publisher Name: Springer, Singapore
Print ISBN: 978-981-32-9697-8
Online ISBN: 978-981-32-9698-5
eBook Packages: Intelligent Technologies and RoboticsIntelligent Technologies and Robotics (R0)