An algorithm to extract critical points from lattice height data

Research output: Contribution to journalArticle

19 Citations (Scopus)

Abstract

The data measured on areal surface texture instruments often takes the form of height values on a discrete rectangular lattice. The definitions of critical points (peak, pit and saddle points) for this type of data is a very important issue for definitions and stable algorithms of areal texture parameters. Many of the published algorithms for critical points fail to meet some very simple topological properties which are always true for continuous data. Thus the collection of critical points produced from these published algorithms could not have come from a genuine continuous surface giving difficulties with interpretation of the results. An algorithm for critical points from lattice height data is presented which satisfies these topological properties and represents genuine features from the measured surface.

LanguageEnglish
Pages1889-1897
Number of pages9
JournalInternational Journal of Machine Tools and Manufacture
Volume41
Issue number13-14
Early online date31 Aug 2001
DOIs
Publication statusPublished - Oct 2001

Fingerprint

Textures

Cite this

@article{fd49b4b2ad18453b908d430737a716ac,
title = "An algorithm to extract critical points from lattice height data",
abstract = "The data measured on areal surface texture instruments often takes the form of height values on a discrete rectangular lattice. The definitions of critical points (peak, pit and saddle points) for this type of data is a very important issue for definitions and stable algorithms of areal texture parameters. Many of the published algorithms for critical points fail to meet some very simple topological properties which are always true for continuous data. Thus the collection of critical points produced from these published algorithms could not have come from a genuine continuous surface giving difficulties with interpretation of the results. An algorithm for critical points from lattice height data is presented which satisfies these topological properties and represents genuine features from the measured surface.",
keywords = "Algorithm, Critical points, Lattice height data, Peak, Pit, Saddle, Surface texture",
author = "Scott, {Paul J.}",
year = "2001",
month = "10",
doi = "10.1016/S0890-6955(01)00053-0",
language = "English",
volume = "41",
pages = "1889--1897",
journal = "International Journal of Machine Tools and Manufacture",
issn = "0890-6955",
publisher = "Elsevier Limited",
number = "13-14",

}

An algorithm to extract critical points from lattice height data. / Scott, Paul J.

In: International Journal of Machine Tools and Manufacture, Vol. 41, No. 13-14, 10.2001, p. 1889-1897.

Research output: Contribution to journalArticle

TY - JOUR

T1 - An algorithm to extract critical points from lattice height data

AU - Scott, Paul J.

PY - 2001/10

Y1 - 2001/10

N2 - The data measured on areal surface texture instruments often takes the form of height values on a discrete rectangular lattice. The definitions of critical points (peak, pit and saddle points) for this type of data is a very important issue for definitions and stable algorithms of areal texture parameters. Many of the published algorithms for critical points fail to meet some very simple topological properties which are always true for continuous data. Thus the collection of critical points produced from these published algorithms could not have come from a genuine continuous surface giving difficulties with interpretation of the results. An algorithm for critical points from lattice height data is presented which satisfies these topological properties and represents genuine features from the measured surface.

AB - The data measured on areal surface texture instruments often takes the form of height values on a discrete rectangular lattice. The definitions of critical points (peak, pit and saddle points) for this type of data is a very important issue for definitions and stable algorithms of areal texture parameters. Many of the published algorithms for critical points fail to meet some very simple topological properties which are always true for continuous data. Thus the collection of critical points produced from these published algorithms could not have come from a genuine continuous surface giving difficulties with interpretation of the results. An algorithm for critical points from lattice height data is presented which satisfies these topological properties and represents genuine features from the measured surface.

KW - Algorithm

KW - Critical points

KW - Lattice height data

KW - Peak

KW - Pit

KW - Saddle

KW - Surface texture

UR - http://www.scopus.com/inward/record.url?scp=0035479643&partnerID=8YFLogxK

U2 - 10.1016/S0890-6955(01)00053-0

DO - 10.1016/S0890-6955(01)00053-0

M3 - Article

VL - 41

SP - 1889

EP - 1897

JO - International Journal of Machine Tools and Manufacture

T2 - International Journal of Machine Tools and Manufacture

JF - International Journal of Machine Tools and Manufacture

SN - 0890-6955

IS - 13-14

ER -