Advanced Mathematical And Computational Tools In Metrology Iv

Patrizia Ciarlini, Franco Pavese, Caparica D Richter

• Publisher: World Scientific
• Year: 2000
• Print ISBN:
  9789810242169
  9789810242169
• eBook ISBN:
  9789812793836
• Topic: Mathématiques
• Subtopic: Mathématiques discrètes

Advances in metrology depend on improvements in scientific and technical knowledge and in instrumentation quality, as well as better use of advanced mathematical tools and development of new ones. In this volume, scientists from both the mathematical and the metrological fields exchange their experiences. Industrial sectors, such as instrumentation and software, are likely to benefit from this exchange, since metrology has a high impact on the overall quality of industrial products, and applied mathematics is becoming more and more important in industrial processes.This book is of interest to people in universities, research centers and industries who are involved in measurements and need advanced mathematical tools to solve their problems, and to those developing such mathematical tools.

Table of contents

• Contents
• Foreword
• AN EFFICIENT ALGORITHM FOR TEMPLATE MATCHING
• A MATHEMATICAL MODEL OF GEOMETRIC ERRORS IN THE CASE OF SPECIFICATION AND 3D CONTROL OF MECHANICAL PARTS
• OPTIMISATION ALGORITHMS FOR GENERALISED DISTANCE REGRESSION IN METROLOGY
• QUALITY EVALUATION OF DATA PROCESSING IN MEASUREMENT: BRIDGE BETWEEN ALGORITHMS AND PROGRAMS
• AN APPLICATION OF BOOTSTRAP REGRESSION TO METROLOGICAL DATA WITH ERRORS IN BOTH VARIABLES
• A DISCUSSION OF APPROACHES FOR DETERMINING A REFERENCE VALUE IN THE ANALYSIS OF KEY-COMPARISON DATA
• AN INTEGRAL EQUATION AND ITS NUMERICAL TREATMENT FOR THE COMPUTATION OF THE MAGNETIC FIELD IN PRESENCE OF SUPERCONDUCTING SHIELDS
• EVALUATION OF LATERAL SHEARING INTERFEROGRAMS
• ERROR COMPONENT DETERMINATION OF MULTI-AXIS MACHINES FROM 3D-LENGTH MEASUREMENTS
• FUSING PRIOR CALIBRATION INFORMATION IN METROLOGY DATA ANALYSIS
• SOFTWARE ENGINEERING RELATED STANDARDS AND GUIDELINES FOR METROLOGY
• MEASUREMENT UNCERTAINTY: A PROBABILITY MATHEMATICAL MODEL BASED ON THE ESTIMATION OF A CONFIDENCE BELT
• THE CONCEPT OF ALPHA-SHAPES APPLIED TO THREE-DIMENSIONAL METROLOGY
• BUILDING NUMERICAL LIBRARIES USING FORTRAN 90/95
• QUANTUM STABILISATION TECHNIQUES AND APPLICATIONS TO METROLOGY
• VIRTUAL TESTING: INTERACTION WITH A COMPOSITE MODEL USING THE INTERNET
• UNCERTAINTY ESTIMATION OF NUMERICALLY COMPUTED QUANTITIES: A CASE STUDY FOR THE TWOFOLD DERIVATIVE
• MATHEMATICAL PROBLEMS IN THE DEFINITION OF STANDARDS BASED ON SCALES: THE CASE OF TEMPERATURE
• OVERVIEW OF THE UK SOFTWARE SUPPORT FOR METROLOGY PROGRAMME
• EVALUATION OF CALIBRATION SOFTWARE EMBEDDED IN A 'SELF-CALIBRATING' INSTRUMENT
• APPROXIMATING COORDINATE DATA THAT HAS OUTLIERS
• DISCUSSION OF METHODS FOR THE ASSESSMENT OF UNCERTAINTIES IN MONTE CARLO PARTICLE TRANSPORT CALCULATIONS
• CORRELATIONS OF DATA IN ADJUSTMENTS OF THE FUNDAMENTAL CONSTANTS
• AN EFFICIENT SEPARATION-OF-VARIABLES APPROACH TO PARAMETRIC ORTHOGONAL DISTANCE REGRESSION
• SOME ROBUST METHODS FOR FITTING PARAMETRICALLY DEFINED CURVES OR SURFACES TO MEASURED DATA
• TESTING FOR CORRELATIONS IN MEASUREMENTS
• ROUNDTABLE DISCUSSION ON ISSUES IN UNCERTAINTY ESTIMATION
• DATA FUSION SPECIAL INTEREST GROUP
• REPORT ON SPECIAL INTEREST GROUP "METROLOGY SOFTWARE ENGINEERING"
• Author Index