Advanced Mathematical Tools in Metrology III

302 Pages·1997·20.611 MB·English

by  P. Ciarlini, M. G. Cox, F. Pavese, D. Richter

ADVANCED
MATHEMATICAL
TOOLS IN
METROLOGY III

Series on Advances in Mathematics for Applied Sciences - Vol. 45
ADVANCED
MATHEMATICAL
TOOLS IN
III
METROLOGY
U6I,41
P Ciarlini
CNR -Istituto di Applicazione del Calcolo, Roma, Italy
I I
MGCox
National Physical Laboratory, Teddington, UK
F Pavese
CNR -Istituto di Metrologia, Torino, Italy
DR ichter
Physikaliscb-Tecbnische Bundesanstalt, Berlin, Germany
".p
World Scientific
I
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Library of Congress Cataloging-in-Publication Data
Advanced mathematical tools in metrology III : proceedings of the
Euroconference : Berlin, Germany, 25-28 September 19961 editors, P. Ciarlini ... ret al.l.
p. em. --(Series on advances in mathematics for applied sciences; vol. 45)
Proceedings of the Third International Workshop on Advanced Mathematical
Tools in Metrology.
Includes bibliographical references and index.
ISBN 9789814530293 (alk. paper)
1. Mensuration --Congresses. 2. Physical measurements --Congresses.
I. Ciarlini, P. II. International Workshop on Advanced Mathematical Tools in Metrology
(3rd: 1996 : Berlin, Germany) III. Series
QA465.A283 1997
530.8'01'51--dc21 97-18874
CIP
British Library Cataloguing-in-Publication Data
A catalogue record for this book is available from the British Library.
Copyright © 1997 by World Scientific Publishing Co. Pte. Ltd.
All rights reserved. This book, or parts thereof, may not be reproduced in any form or by any means,
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This book is printed on acid-free paper.
Printed in Singapore by Uto-Print
v
Foreword
This volume collects selected, revised contributions at the Third International
Workshop on Advanced Mathematical Tools in Metrology held in Berlin, Germany,
in September 1996. As in the volumes of the two preceding workshops, the papers in
this volume present and promote the application of mathematical and in some extent
computational methods to metrology.
To a great extent, advances in metrology depend on the clever use of math
ematical and computational tools. The workshop aimed at increasing the extent of
cooperation between metrologists, mathematicians and software people. Emphasis
was placed on the benefits that mathematical and software tools can bring to prob
lems facing researchers and practitioners of metrology. To limit the width of topics
under discussion, the workshop had been focused from the methodological point of
view on
- uncertainty problems, stochastic methods;
- inverse problems, numerical methods;
- software and algorithm validation;
and from the metrological point of view on
- geometric and manufacturing measuring technique;
- physical measurements in medicine.
Repeating a well-tried principle, the contributions are divided into tutorial papers,
accepted papers and short communications representing selected poster presentations.
The first ones have an overview or introductory character, and the second and the
third ones report on concrete activities.
Berlin, February 1997 The Editors
EUROCONFERENCE "ADVANCED MATHEMATICAL TOOLS/N METROLOGY"
Coordinator: F.Pavese, Istituto di Metrologia ''G.Colonnetti'' , Torino, IT
(EU Grant ERBCHECCT 940254 to IMGC)
Berlin Chairman: D.Richter, Physikalisch-Technische Bundesanstalt, Berlin,
DE
I NTERNA TlONAL SciENTIFIC CoMMITTEE
P.Ciartini, Istituto per Ie Applicazioni del Calcolo "M.Picone", Roma, IT
M.G.Cox, National Physical Laboratory (NPL), Teddington, UK
R.S.Davis, Bureau International des Poids et Mesures, Sayres
H.Kunzmann, Physikalisch-Technische Bundesanstalt (PTB), Braunschweig, DE
F.Pavese, Istituto di Metrologia "G.Colonnetti" (lMGC), Torino, liT
D.Richter, Physikalisch-Technische Bundesanstalt (PTB), Berlin, DE
ORGANISED BY
CNR, Istituto di Metrologia "G.Colonnetti", (IMGC) Torino
Physikalisch-Technische Bundesanstalt (PTB), Berlin, Germany
LOCAL COMMITTEE
D.Richter, Physikalisch-Technische Bundesanstalt (PTB), Berlin, DE
H.Moeck, Physikalisch-Technische Bundesanstalt (PTB), Berlin, DE
Sponsored by
European Communities (Human and Capital and Mobility Programme»,
Consiglio Nazionale delle Ricerche (IT), Physikalisch-T echnische Bundesanstalt
(DE), ECMI, SIMAI (IT), MEMC (IT), DPG (DE), Visual Numerics (DE), JF
Lehmanns Fachbuch-handlung (DE), Helmholtz Fonds e.v. (DE)
These Proceedings were made possible by a grant of
MEMC Electronic Materials SpA (Italy)
For the first two Volumes see this Series vol. 16 (1994) and vof.40 (1996)
Proceedings Editors
Patrizia Ciarlini (Istituto per Ie Applicazioni del Calcolo, CNR, Roma, Italy), Maurice
G.Cox (National Physical Laboratory, Teddington, UK), , Franco Pavese (Istituto di
Metrologia "G.CoIonneUi", CNR, Torino, Italy), Dieter Richter (Physikalisch-.
Technische Bundesanstalt, Berlin, Germany)
Vii
Table of Contents
Foreword v
Invited Papers
The ISO Guide to the Expression of Uncertainty in Measurement:
A Bridge between Statistics and Metrology 1
W. Rich
Bootstrap Algorithms and Applications 12
P. Ciarlini
The TTRSs: 13 Oriented Constraints for Dimensioning, Tolerancing
& Inspection 24
A. Clement, C. Valade and A. Riviere
Graded Reference Data Sets and Performance Profiles for Testing
Software Used in Metrology 43
M.G. Cox
Uncertainty in Chemical Measurement 56
S. Ellison
Mathematical Methods for Data Analysis in Medical Applications 68
J. Honerkamp
High-Dimensional Empirical Linear Prediction 79
H.K. Liu
Wavelet Methods in Signal Processing 91
P. Maass
Software Problems in Calibration Services: A Case Study 104
N. Greif, H. Schrepf and D. Richter
Robust Alternatives to Least Squares 118
W. Stahel
viii
Gaining Information from Biomagnetic Measurements 134
L. Trahms
Full Papers
Increase of Information in the Course of Measurement 143
P. BolOni
A Framework for Model Validation and Software Testing in Regression 158
B. Butler
Certification of Algorithms for Determination of Signal Extreme Values
during Measurement 165
A. G. Chunovkina and A. V. Chursin
A Method for Evaluating Trends in Ozone-Concentration Data and Its
Application to Data from the UK Rural Ozone Monitoring Network 171
M.G. Cox, P.M. Harris, M.l.T. Milton and P.T. Woods
Identification of Signal Components by Stochastic Modelling in
Measurements of Evoked Magnetic Fields from Peripheral Nerves 178
T. Grabe, M. Burghoff, U. Steinhoff, B.M. Mackert and G. Curio
High Precision 3D-Calibration of Cylindrical Standards 186
O. Jusko, H. Bosse and F. Liidicke
Magnetic Dipole Estimations for MCG-Data 195
E. Krause
Transfer Functions of Discrete Spline Filters 203
M. Krystek
An Approximation Method for the Linearization of Tridimensional
Metrology Problems 211
L. Mathieu, C. Lartigue and P. Bourdet
Regularization Algorithms for Image Reconstruction from Projections 218
E. Loti Piccolomini and F. Zama
ix
Quality of Experimental Data in Hydrodynamic Research 225
M. Masia and R. Penna
Stochastic Drift Models for the Determination of Calibration Intervals 232
P. Tavella, A. Bobbio, S. Costamagna and A. Montefusco
Short Communications
Projection Method for Lidar Measurement 239
C. Backmann
Photon Hux Measurements by Regularised Solution ofIntegral Equations 241
S. Castelletto and M.L. Rastello
Correct Solutions of Fit Problems in Different Experimental Situations 246
Y.v. v.v.
Chebrakovand Schmagin
An Algorithm for the Nonlinear TLS Problem in Polynomial Fitting 250
P. Ciarlini and ML La Cascio
Designing Axially Symmetric Electromechanical Systems of
Superconducting Magnetic Levitation in Matlab Environment 254
Y.
E. Frantsuz, V. Khavinson, F. Shiota, Miki and R. Mossavati
Data How Evaluation in Metrology 257
N. Greif and H. Schrepf
A Generalized Data Model for Integrating Clinical Data and Biosignal
Records of Patients 260
H. Gross and V. Hartmann
Assessment of Three-Dimensional Structures in Clinical Dentistry 263
V. Jovanovski, L. Zou, W.M. Tay, E. Lynch and M.G. Cox
Maximum Entropy and Bayesian Approaches to Parameter Estimation
in Mass Metrology 266
T.S. Leahy