Tangential Cover for 3D Irregular Noisy Digital Curves

This paper presents a discrete structure, named adaptive tangential cover (ATC), for studying 3D noisy digital curves. The structure relies mainly on the primitive of blurred segment of width ν $$\nu $$ and on the local noise estimator of meaningful thickness. More precisely, ATC is composed of maxi...

Full description

Saved in:
Bibliographic Details
Published inDiscrete Geometry and Mathematical Morphology Vol. 13493; pp. 315 - 329
Main Authors Ngo, Phuc, Debled-Rennesson, Isabelle
Format Book Chapter Conference Proceeding
LanguageEnglish
Published Switzerland Springer International Publishing AG 2022
Springer International Publishing
Springer
SeriesLecture Notes in Computer Science
Subjects
3D digital curves
Computer Science
Image Processing
Noise estimator
Tangent and curvature estimators
noise estimator
tangent and curvature estimators
3D digital curves
Online AccessGet full text
ISBN9783031198960
3031198964
ISSN0302-9743
1611-3349
DOI10.1007/978-3-031-19897-7_25

Cover

More Information
Summary:This paper presents a discrete structure, named adaptive tangential cover (ATC), for studying 3D noisy digital curves. The structure relies mainly on the primitive of blurred segment of width ν $$\nu $$ and on the local noise estimator of meaningful thickness. More precisely, ATC is composed of maximal blurred segments of different widths deduced from the local noise values estimated at each point of the curve. Two applications of ATC for geometric estimators of 3D noisy digital curves are also presented in the paper. The experimental results demonstrate the efficiency of ATC for analyzing 3D irregular noisy curves.
Bibliography:Original Abstract: This paper presents a discrete structure, named adaptive tangential cover (ATC), for studying 3D noisy digital curves. The structure relies mainly on the primitive of blurred segment of width ν\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\nu $$\end{document} and on the local noise estimator of meaningful thickness. More precisely, ATC is composed of maximal blurred segments of different widths deduced from the local noise values estimated at each point of the curve. Two applications of ATC for geometric estimators of 3D noisy digital curves are also presented in the paper. The experimental results demonstrate the efficiency of ATC for analyzing 3D irregular noisy curves.
ISBN:9783031198960
3031198964
ISSN:0302-9743
1611-3349
DOI:10.1007/978-3-031-19897-7_25