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Local Convexity Shape-Preserving Data Visualization by Spline Function
Joint Authors
Majid, Ahmad Abd.
Ali, Jamaludin Md.
Hj Awang, Mohd Nain
Abbas, Muhammad
Source
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-14, 14 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-03-22
Country of Publication
Egypt
No. of Pages
14
Main Subjects
Abstract EN
The main purpose of this paper is the visualization of convex data that results in a smooth, pleasant, and interactive convexity-preserving curve.
The rational cubic function with three free parameters is constructed to preserve the shape of convex data.
The free parameters are arranged in a way that two of them are left free for user choice to refine the convex curve as desired, and the remaining one free parameter is constrained to preserve the convexity everywhere.
Simple data-dependent constraints are derived on one free parameter, which guarantee to preserve the convexity of curve.
Moreover, the scheme under discussion is, C1 flexible, simple, local, and economical as compared to existing schemes.
The error bound for the rational cubic function is O(h3).
American Psychological Association (APA)
Abbas, Muhammad& Majid, Ahmad Abd.& Hj Awang, Mohd Nain& Ali, Jamaludin Md.. 2012. Local Convexity Shape-Preserving Data Visualization by Spline Function. ISRN Mathematical Analysis،Vol. 2012, no. 2012, pp.1-14.
https://search.emarefa.net/detail/BIM-451814
Modern Language Association (MLA)
Abbas, Muhammad…[et al.]. Local Convexity Shape-Preserving Data Visualization by Spline Function. ISRN Mathematical Analysis No. 2012 (2012), pp.1-14.
https://search.emarefa.net/detail/BIM-451814
American Medical Association (AMA)
Abbas, Muhammad& Majid, Ahmad Abd.& Hj Awang, Mohd Nain& Ali, Jamaludin Md.. Local Convexity Shape-Preserving Data Visualization by Spline Function. ISRN Mathematical Analysis. 2012. Vol. 2012, no. 2012, pp.1-14.
https://search.emarefa.net/detail/BIM-451814
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-451814