Result: C n -continuous B-type spline curves with its localization interpolation and approximation: \(C^n\)-continuous \(B\)-type spline curves with its localization interpolation and approximation

Title:
C n -continuous B-type spline curves with its localization interpolation and approximation: \(C^n\)-continuous \(B\)-type spline curves with its localization interpolation and approximation
Authors:
Wu Hongyi
Source:
Applied Mathematics-A Journal of Chinese Universities. 17:215-226
Publisher Information:
Springer Science and Business Media LLC, 2002.
Publication Year:
2002
Subject Terms:
Computer-aided design (modeling of curves and surfaces), free-type alternative spline curve, 0202 electrical engineering, electronic engineering, information engineering, 02 engineering and technology, 0101 mathematics, control polygon, continuous \(B\)-type spline curves, 01 natural sciences, interpolation, Numerical computation using splines
Document Type:
Academic journal Article
File Description:
application/xml
Language:
English
ISSN:
1993-0445
1005-1031
DOI:
10.1007/s11766-002-0048-0
Access URL:
https://zbmath.org/1802904
https://doi.org/10.1007/s11766-002-0048-0
https://link.springer.com/content/pdf/10.1007/s11766-002-0048-0.pdf
https://rd.springer.com/article/10.1007/s11766-002-0048-0
https://link.springer.com/article/10.1007/s11766-002-0048-0
Rights:
Springer TDM
Accession Number:
edsair.doi.dedup.....dae7afb13b4edaaf175809d52fd65bcc
Database:
OpenAIRE

Further Information

The author presents a class of \(C^n\)-continuous \(B\)-type spline curves with length 4 local support and with some parametric factors, and such that each segment of the curves can be generated by 4 control points. In addition, the author shows that, when the parametric factors satisfy certain conditions, the degrees of the curves can be decreased to be optimal. This fact motivates the notion of free-type alternative spline curve. Furthermore, if the parametric factors tends to zero, the curves globally approximate the control polygon.