1. Polygonal approximation -- 2. A split and merge technique -- 3. A sequential one-pass method -- 4. Another sequential one-pass method -- 5. A data-driven method -- 6. Another data-driven method -- 7. A two-pass sequential method -- 8. Polygonal approximation using reverse engineering on bresenham's line drawing technique -- 9. Polygonal approximation as angle detection -- 10. Polygonal approximation as angle detection using asymmetric region of support -- 11. Scale space analysis with application to corner detection -- 12. Scale space analysis and corner detection on chain coded curves -- 13. Scale space analysis and corner detection using iterative gaussian smoothing with constant window size -- 14. Corner detection using bessel function as smoothing kernel -- 15. Adaptive smoothing using convolution with gaussian kernel -- 16. Application of polygonal approximation for pattern classification and object recognition -- 17. Polygonal dissimilarity and scale preserving smoothing -- 18. Matching polygon fragments -- 19. Polygonal approximation to recognize and locate partially occluded objects hypothesis generation and verification paradigm -- 20. Object recognition with belief revision : hypothesis generation and belief revision paradigm -- 21. Neuro-fuzzy reasoning for occluded object recognition : a learning paradigm through neuro-fuzzy concept -- 22. Conclusion.