Computational Surface and Roundness Metrology

Bala Muralikrishnan has a PhD in Mechanical Engineering from the University of North Carolina at Charlotte, USA. He works for the National Institute of Standards and Technology, where he is a guest researcher in the Engineering Metrology Group of the Precision Engineering Division - one of the divisions of the Manufacturing Engineering Laboratory. Jayaraman Raja has a PhD in Mechanical Engineering from the Indian Institute of Technology, Madras, India. He is a professor and chairman in the Department of Mechanical Engineering & Engineering Science at the University of North Carolina at Charlotte, USA. His research interests include Surface & Form Metrology; Computational Metrology; and Precision Engineering.

Introduction Part I: Filtering A Brief History of Filtering Filtering in Frequency Domains Time Domain Filtering Gaussian Filter 2RC Filter Filtering Roundness Profiles Filtering 3D Surfaces Part II: Advanced Filtering Gaussian Regression Filters Spline Filter Robust Filters Envelope and Morphological Filters Multi-scale Filtering Part III: Fitting Introduction to Fitting Substitute Geometry Least-squares Best Fit Line and Plane Non-linear Least-squares I: Introduction Non-linear Least-squares II: Circle, Sphere and Cylinder Fitting Radius Suppressed Circle Data Exchange Algorithms for Minimum Zone Reference Circle Fitting using Linear Programming Simplex Part IV: Parameterization Surface Texture Parameters I: Amplitude, Spacing, Hybrid and Shape Surface Texture Parameters II: Autocorrelation, Power Spectral Density, Bearing Area 3D Surface Texture Parameters Part V: Errors and Uncertainty Uncertainty Considerations Uncertainty Propagation in Computations Error Separation Techniques in Roundness Metrology Other Relevant Topics