1. Introduction2. Fundaments for Freeform Surfaces3. Sampling for Freeform Surfaces4. Freeform Surface Fitting5. Linear and Non-linear Diffusion Filtration6. Morphological Filtration7. Wavelets Filtration8. Segmentation of Features on Freeform Surfaces9. Characterisation for Freeform Surfaces10. Characterisation of Freeform Structured Surfaces11. Freeform Surface Design and Metrology Platform12. Summary and Conclusion