Reconstruction of the initial curve from a two-dimensional shape for the B-spline curve fitting

Curve reconstruction is a significant challenge in computer-aided geometric design, computational atomic and molecular physics, engineering design, virtual reality and data visualization. This study discusses a method of producing B-spline parametric curve from the large number of data points. The i...

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Bibliographic Details
Published in:European physical journal plus Vol. 137; no. 3; p. 411
Main Authors: Jahanshahloo, Almas, Ebrahimi, ALireza
Format: Journal Article
Language:English
Published: Berlin/Heidelberg Springer Berlin Heidelberg 31.03.2022
Springer Nature B.V
Subjects:
Algorithms
Applied and Technical Physics
Approximation
Atomic
B spline functions
CAD
Complex Systems
Computer aided design
Condensed Matter Physics
Cultural heritage
Curve fitting
Data compression
Data points
Design engineering
Error reduction
Identification methods
Mathematical and Computational Physics
Molecular
Molecular physics
Optical and Plasma Physics
Optimization techniques
Parameter estimation
Parameter identification
Physics
Physics and Astronomy
Production methods
Reconstruction
Regular Article
Scientific visualization
Theoretical
Video compression
Virtual reality
Water waves
ISSN:2190-5444, 2190-5444
Online Access:Get full text
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Summary:Curve reconstruction is a significant challenge in computer-aided geometric design, computational atomic and molecular physics, engineering design, virtual reality and data visualization. This study discusses a method of producing B-spline parametric curve from the large number of data points. The introduced scheme includes three major parts for curve reconstruction: (1) formulation of the B-spline curve fitting as a nonlinear least squares optimization problem, (2) construction of the precise initial B-spline curve using properly determined control points, and (3) usage of the diagonal approximation BFGS method to identify the location parameters and the control points simultaneously. The modeling examples demonstrate that the suggested techniques are successful and can therefore significantly reduce fitting error by adjusting the number and location of control points.
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ISSN:2190-5444
2190-5444
DOI:10.1140/epjp/s13360-022-02604-y