Abstract
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 language | English |
---|---|
Pages (from-to) | 4647-4654 |
Number of pages | 8 |
Journal | Information |
Volume | 20 |
Issue number | 7 |
Publication status | Published - Jul 2017 |
Externally published | Yes |
Keywords
- Degree reduction
- G°, G-continuity
- Said-Ball curves
ASJC Scopus subject areas
- Information Systems