Fitting Splines to a Parametric Function

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...

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Bibliographic Details
Main Author: Penner, Alvin
Format: eBook
Language:English
Published: Cham Springer International Publishing 2019, 2019
Edition:1st ed. 2019
Series:SpringerBriefs in Computer Science
Subjects:
Online Access:
Collection: Springer eBooks 2005- - Collection details see MPG.ReNa
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