Computational Surface and Roundness Metrology

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