Segmented Optimal Multi-Degree Reduction Approximation of Bézier Curve


  •  Zhi Wu    
  •  Yuedao Jiang    
  •  Genzhu Bai    

Abstract

This paper presents a segmented optimal multi-degree reduction approximation method for Bézier curve based on the combination of optimal function approximation and segmentation algorithm. In the proposed method, each Bernstein basis function is optimally approximated by the linear combination of lower power S bases. The piecewise curve of Bernstein basis function is replaced by the obtained optimal approximation functions. The proposed method is simple and intuitive. Experiments manifest that it improves the approximation performance.


This work is licensed under a Creative Commons Attribution 4.0 License.
  • ISSN(Print): 1913-8989
  • ISSN(Online): 1913-8997
  • Started: 2008
  • Frequency: quarterly

Journal Metrics

WJCI (2020): 0.439

Impact Factor 2020 (by WJCI): 0.247

Google Scholar Citations (March 2022): 6907

Google-based Impact Factor (2021): 0.68

h-index (December 2021): 37

i10-index (December 2021): 172

(Click Here to Learn More)

Contact