Multi-degree reduction of said-ball curves with endpoints constraints

Abedallah Rababah, Yusuf Fatihu Hamza

Research output: Contribution to journalArticlepeer-review


In this paper, a new approach for multi-degree reduction of Said-Ball curves is investigated. Conditions for continuities and tangent continuities at both boundaries of the curve are given. The distance between the original Said-Ball curve and the degree reduced Said-Ball curve is measured in L2-norm under the satisfaction of G°-and G1-continuity conditions. Several numerical examples, figures, and comparisons show that the proposed methods produce better results than existing methods in the literature.

Original languageEnglish
Pages (from-to)4647-4654
Number of pages8
Issue number7
Publication statusPublished - Jul 2017
Externally publishedYes


  • Degree reduction
  • G°, G-continuity
  • Said-Ball curves

ASJC Scopus subject areas

  • Information Systems

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