Fitting Splines to a Parametric Function

• Main Author: Penner, Alvin (Author, http://id.loc.gov/vocabulary/relators/aut)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2019.
• Edition: 1st ed. 2019.
• Series: SpringerBriefs in Computer Science,
• Subjects: Computer graphics.; Optical data processing.; Computer Graphics.; Image Processing and Computer Vision.

This Brief investigates the intersections that occur between three different areas of study that normally would not touch each other: ODF, spline theory, and topology. The Least Squares Orthogonal Distance Fitting (ODF) method has become the standard technique used to develop mathematical models of...

Table of Contents:

• 1 Introduction
• 2 Least Squares Orthogonal Distance
• 3 General Properties of Splines
• 4 ODF using a cubic Bézier
• 5 Topology of Merges/Crossovers
• 6 ODF using a 5-Point B-spline
• 7 ODF using a 6-Point B-spline
• 8 ODF using a quartic Bézier
• 9 ODF using a Beta2-spline
• 10 ODF using a Beta1-spline
• 11 Conclusions.