Linear Feature Extraction Based on Complex Ridgelet Transform

Research output: Contribution to journalArticle

19 Citations (Scopus)

Abstract

In our previous work, a new dual-tree complex wavelet transform (DT-CWT) model for surface analysis has been built, which solved the problem of the lack of shift-invariance that existed in the first and second generation wavelet models. Unfortunately, the DT-CWT model still has the same problem as the previous wavelet models in the lack of ability to detect line singularities or higher dimensional singularities, which causes the edges not to be smooth when extracting the directional features from engineering surfaces. In this paper, a complex finite ridgelet transform (CFRIT), which provides approximate shift invariance and analysis of line singularities, is proposed by taking the DT-CWT on the projections of the finite Radon transform (FRAT). The Numerical experiments show the remarkable potential of the methodology to analyse engineering and bioengineering surfaces with linear scratches in comparison to wavelet-based methods developed in our pervious work.

Original languageEnglish
Pages (from-to)428-433
Number of pages6
JournalWear
Volume264
Issue number5-6
DOIs
Publication statusPublished - 4 Mar 2008

Fingerprint

pattern recognition
Feature extraction
Mathematical transformations
wavelet analysis
Wavelet transforms
Invariance
invariance
engineering
bioengineering
Radon
Trees (mathematics)
shift
Surface analysis
radon
projection
methodology
causes
Experiments

Cite this

@article{a3f179e1eaa54dcab558e3b149fc997d,
title = "Linear Feature Extraction Based on Complex Ridgelet Transform",
abstract = "In our previous work, a new dual-tree complex wavelet transform (DT-CWT) model for surface analysis has been built, which solved the problem of the lack of shift-invariance that existed in the first and second generation wavelet models. Unfortunately, the DT-CWT model still has the same problem as the previous wavelet models in the lack of ability to detect line singularities or higher dimensional singularities, which causes the edges not to be smooth when extracting the directional features from engineering surfaces. In this paper, a complex finite ridgelet transform (CFRIT), which provides approximate shift invariance and analysis of line singularities, is proposed by taking the DT-CWT on the projections of the finite Radon transform (FRAT). The Numerical experiments show the remarkable potential of the methodology to analyse engineering and bioengineering surfaces with linear scratches in comparison to wavelet-based methods developed in our pervious work.",
keywords = "Complex Finite Ridgelet Transform, Finite Radon Transform, Linear Singularity, Shift Invariance, Surface Topography",
author = "Xiangqian Jiang and Wenhan Zeng and Liam Blunt and Paul Scott and Jianwei Ma",
year = "2008",
month = "3",
day = "4",
doi = "10.1016/j.wear.2006.08.040",
language = "English",
volume = "264",
pages = "428--433",
journal = "Wear",
issn = "0043-1648",
publisher = "Elsevier BV",
number = "5-6",

}

Linear Feature Extraction Based on Complex Ridgelet Transform. / Jiang, Xiangqian; Zeng, Wenhan; Blunt, Liam; Scott, Paul; Ma, Jianwei.

In: Wear, Vol. 264, No. 5-6, 04.03.2008, p. 428-433.

Research output: Contribution to journalArticle

TY - JOUR

T1 - Linear Feature Extraction Based on Complex Ridgelet Transform

AU - Jiang, Xiangqian

AU - Zeng, Wenhan

AU - Blunt, Liam

AU - Scott, Paul

AU - Ma, Jianwei

PY - 2008/3/4

Y1 - 2008/3/4

N2 - In our previous work, a new dual-tree complex wavelet transform (DT-CWT) model for surface analysis has been built, which solved the problem of the lack of shift-invariance that existed in the first and second generation wavelet models. Unfortunately, the DT-CWT model still has the same problem as the previous wavelet models in the lack of ability to detect line singularities or higher dimensional singularities, which causes the edges not to be smooth when extracting the directional features from engineering surfaces. In this paper, a complex finite ridgelet transform (CFRIT), which provides approximate shift invariance and analysis of line singularities, is proposed by taking the DT-CWT on the projections of the finite Radon transform (FRAT). The Numerical experiments show the remarkable potential of the methodology to analyse engineering and bioengineering surfaces with linear scratches in comparison to wavelet-based methods developed in our pervious work.

AB - In our previous work, a new dual-tree complex wavelet transform (DT-CWT) model for surface analysis has been built, which solved the problem of the lack of shift-invariance that existed in the first and second generation wavelet models. Unfortunately, the DT-CWT model still has the same problem as the previous wavelet models in the lack of ability to detect line singularities or higher dimensional singularities, which causes the edges not to be smooth when extracting the directional features from engineering surfaces. In this paper, a complex finite ridgelet transform (CFRIT), which provides approximate shift invariance and analysis of line singularities, is proposed by taking the DT-CWT on the projections of the finite Radon transform (FRAT). The Numerical experiments show the remarkable potential of the methodology to analyse engineering and bioengineering surfaces with linear scratches in comparison to wavelet-based methods developed in our pervious work.

KW - Complex Finite Ridgelet Transform

KW - Finite Radon Transform

KW - Linear Singularity

KW - Shift Invariance

KW - Surface Topography

UR - http://www.scopus.com/inward/record.url?scp=37449026720&partnerID=8YFLogxK

U2 - 10.1016/j.wear.2006.08.040

DO - 10.1016/j.wear.2006.08.040

M3 - Article

VL - 264

SP - 428

EP - 433

JO - Wear

JF - Wear

SN - 0043-1648

IS - 5-6

ER -