Morphological Method for Surface Metrology and Dimensional Metrology Based on the Alpha Shape

Research output: Contribution to journalArticle

16 Citations (Scopus)

Abstract

Morphological filters are useful tools as they are commonly employed in surface metrology and dimensional metrology, serving for surface texture analysis and data smoothing, respectively. Compared to the mean-line filtering techniques, such as the Gaussian filter, morphological filters have the merits of compact support, no need to remove form and being relevant to geometrical properties of surfaces. This paper proposes a novel morphological method based on the alpha shape. The proposed method has the advantages over the traditional methods that it runs relatively fast, enables arbitrary large ball radii and applies to freeform surfaces and nonuniformly sampled surfaces. The theory of basic morphological operations and the alpha shape is introduced and the theoretical link between the alpha hull and the morphological closing and opening operation is presented. A practical algorithm is developed that corrects possible singularities caused by data spikes and reduces the amount of calculation for open profiles/surfaces. Computer simulation is used to compare the results from the traditional algorithm and the proposed one. Experimental studies are conducted to demonstrate the feasibility and applicability of using the proposed method.

Original languageEnglish
Article number015003
Number of pages9
JournalMeasurement Science and Technology
Volume23
Issue number1
DOIs
Publication statusPublished - 9 Dec 2011

Fingerprint

Metrology
metrology
Morphological Filter
Gaussian Filter
Morphological Operations
Surface Texture
filters
Texture Analysis
Free-form Surface
Surface Profile
Compact Support
data smoothing
Spike
Smoothing
Experimental Study
Ball
Computer Simulation
Filtering
Radius
Singularity

Cite this

@article{a2855108f8ce4e798001f11434d671d7,
title = "Morphological Method for Surface Metrology and Dimensional Metrology Based on the Alpha Shape",
abstract = "Morphological filters are useful tools as they are commonly employed in surface metrology and dimensional metrology, serving for surface texture analysis and data smoothing, respectively. Compared to the mean-line filtering techniques, such as the Gaussian filter, morphological filters have the merits of compact support, no need to remove form and being relevant to geometrical properties of surfaces. This paper proposes a novel morphological method based on the alpha shape. The proposed method has the advantages over the traditional methods that it runs relatively fast, enables arbitrary large ball radii and applies to freeform surfaces and nonuniformly sampled surfaces. The theory of basic morphological operations and the alpha shape is introduced and the theoretical link between the alpha hull and the morphological closing and opening operation is presented. A practical algorithm is developed that corrects possible singularities caused by data spikes and reduces the amount of calculation for open profiles/surfaces. Computer simulation is used to compare the results from the traditional algorithm and the proposed one. Experimental studies are conducted to demonstrate the feasibility and applicability of using the proposed method.",
keywords = "Alpha Shape, Dimensional Metrology, Freeform Filtering, Morphological Filters, Nonuniform Samples Filtering, Surface Metrology",
author = "Xiangqian Jiang and Shan Lou and Scott, {Paul J.}",
year = "2011",
month = "12",
day = "9",
doi = "10.1088/0957-0233/23/1/015003",
language = "English",
volume = "23",
journal = "Measurement Science and Technology",
issn = "0957-0233",
publisher = "IOP Publishing",
number = "1",

}

TY - JOUR

T1 - Morphological Method for Surface Metrology and Dimensional Metrology Based on the Alpha Shape

AU - Jiang, Xiangqian

AU - Lou, Shan

AU - Scott, Paul J.

PY - 2011/12/9

Y1 - 2011/12/9

N2 - Morphological filters are useful tools as they are commonly employed in surface metrology and dimensional metrology, serving for surface texture analysis and data smoothing, respectively. Compared to the mean-line filtering techniques, such as the Gaussian filter, morphological filters have the merits of compact support, no need to remove form and being relevant to geometrical properties of surfaces. This paper proposes a novel morphological method based on the alpha shape. The proposed method has the advantages over the traditional methods that it runs relatively fast, enables arbitrary large ball radii and applies to freeform surfaces and nonuniformly sampled surfaces. The theory of basic morphological operations and the alpha shape is introduced and the theoretical link between the alpha hull and the morphological closing and opening operation is presented. A practical algorithm is developed that corrects possible singularities caused by data spikes and reduces the amount of calculation for open profiles/surfaces. Computer simulation is used to compare the results from the traditional algorithm and the proposed one. Experimental studies are conducted to demonstrate the feasibility and applicability of using the proposed method.

AB - Morphological filters are useful tools as they are commonly employed in surface metrology and dimensional metrology, serving for surface texture analysis and data smoothing, respectively. Compared to the mean-line filtering techniques, such as the Gaussian filter, morphological filters have the merits of compact support, no need to remove form and being relevant to geometrical properties of surfaces. This paper proposes a novel morphological method based on the alpha shape. The proposed method has the advantages over the traditional methods that it runs relatively fast, enables arbitrary large ball radii and applies to freeform surfaces and nonuniformly sampled surfaces. The theory of basic morphological operations and the alpha shape is introduced and the theoretical link between the alpha hull and the morphological closing and opening operation is presented. A practical algorithm is developed that corrects possible singularities caused by data spikes and reduces the amount of calculation for open profiles/surfaces. Computer simulation is used to compare the results from the traditional algorithm and the proposed one. Experimental studies are conducted to demonstrate the feasibility and applicability of using the proposed method.

KW - Alpha Shape

KW - Dimensional Metrology

KW - Freeform Filtering

KW - Morphological Filters

KW - Nonuniform Samples Filtering

KW - Surface Metrology

UR - http://www.scopus.com/inward/record.url?scp=84855374126&partnerID=8YFLogxK

U2 - 10.1088/0957-0233/23/1/015003

DO - 10.1088/0957-0233/23/1/015003

M3 - Article

VL - 23

JO - Measurement Science and Technology

JF - Measurement Science and Technology

SN - 0957-0233

IS - 1

M1 - 015003

ER -