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Understanding the Digitization Process: Guidelines and Techniques in Line Recognition

This guide provides an in-depth look at the digitization of lines, focusing on methods to digitize, recognize, and translate them. Key concepts include differentiating between original and modified digitized lines, understanding digitization levels, and exploring practical guidelines. The text introduces important mathematical principles relevant to digitization, such as the linear equation y=ax+b, and discusses the geometrical interpretations of digitization parameters. The included examples of recognition propositions will help clarify practical applications in both arithmetical and geometrical contexts.

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Understanding the Digitization Process: Guidelines and Techniques in Line Recognition

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Presentation Transcript

  1. Digital Lines

  2. Today’s items • Rosenfeld • How to digitize • How to recognize a digitized line • How to do parallel translation • Khalimsky • Some guidelines and ideas

  3. Rosenfeld Digitization

  4. Modified Rosenfeld cross

  5. Original vs. modified cross in action

  6. Basics • y = ax + b • 0 < a < 1 • Note: • a = 0 : trivial • a = 1 : may cause “fat” lines • I begin digitization in (1, ½)

  7. Terms • Digitization level • Block • Sequence • Object • Element • Main • Single • Object length

  8. Digitization level 1

  9. Digitization level 2

  10. Digitization level 3

  11. Special case: y = ax + 0 • No block is shorter than block 1 • No block is longer than block 0

  12. The Digitization parameters: sigma and k

  13. Two object lengths

  14. Main object in level

  15. Only two possible blocklengths: Geometrical interpretation of sigma0 = a

  16. Geometrical interpretation of sigma1

  17. More on sigma1

  18. Rational coefficient

  19. Euclidic algorithm

  20. Today’s items • Rosenfeld • How to digitize • How to recognize a digitized line • How to do parallel translation • Khalimsky • Some guidelines and ideas

  21. Proposition for recognition

  22. Proposition for recognition, arithmetical example

  23. Proposition for recognition, geometrical example

  24. Five level example

  25. Today’s items • Rosenfeld • How to digitize • How to recognize a digitized line • How to do parallel translation • Khalimsky • Some guidelines and ideas

  26. Digitization of translated lines

  27. Translations

  28. Today’s items • Rosenfeld • How to digitize • How to recognize a digitized line • How to do parallel translation • Khalimsky • Some guidelines and ideas

  29. Khalimsky

  30. Khalimsky and modified Khalimsky

  31. Khalimsky translations part 1

  32. Khalimsky translations part 2

  33. Khalimsky translations, different parities

  34. Thank you for your attention!

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