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Advanced Image Processing Techniques: Edge Detection and Gaussian Filtering Methods

This comprehensive guide covers various advanced image processing techniques, including Gaussian smoothing, edge detection using Canny and Marr/Hildreth methods, and corner extraction with the Rohr operator. It explores gradients, Laplace operators, and Gabor filtering at different scales and orientations. Detailed explanations and scale references for each method provide insights into their applications and effectiveness in image analysis. Ideal for students and professionals in computer vision and image processing.

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Advanced Image Processing Techniques: Edge Detection and Gaussian Filtering Methods

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  1. Originalbild (Testbild) I(x,y) Skala s = 0 I(x,y) Ä G(x,y;s1;2 = 0) = I(x,y) Ä d (x,y)

  2. Skala: 0.7 1.4 s = 0 2.8 5.6 11.2 Gaußsche Glättung G Ä I (Skalenraum)

  3. Skala: 1.4 2.8 5.6 1.4 2.8 5.6 Gradient Ñ (G Ä I)

  4. Skala: Original 0.7 1.4 2.8 5.6 11.2 Gradientenbetrag (Norm) ||Ñ (G Ä I)||

  5. Skala: Original 0.7 1.4 2.8 5.6 11.2 Laplaceoperator D (G Ä I)

  6. Skala: Original 0.7 1.4 2.8 5.6 11.2 Kantenextraktion (Canny-Operator)

  7. Skala: Original 0.7 1.4 2.8 5.6 11.2 Kantenextraktion aus Nulldurchgängen (Marr/Hildreth- bzw. Shen/Castan-Operator)

  8. Skala: Original 0.7 1.4 2.8 5.6 11.2 Eckendetektion mit Rohr-Operator (Determinante des Strukturtensors)

  9. Skala: Original 0.7 1.4 2.8 5.6 11.2 Eckenextraktion mit Rohr-Operator (lokale Maxima der Operatorantwort)

  10. Skala: Original 1.4 5.6 Gaußsche Glättung

  11. Gaußsche Pyramide 1/8 1/4 1/2 Skala: Original

  12. Skala: 1.4 2.8 5.6 Gradient (Vektorkomponenten) dx dy

  13. Skala: Original 1.4 5.6 Gradientenbetrag

  14. Skala: Original 1.4 5.6 Laplaceoperator (LoG)

  15. Skala: Original 1.4 5.6 Kantenextraktion (Canny-Operator)

  16. Skala: Original 1.4 5.6 Kantenextraktion aus Nulldurchgängen(Marr/Hildreth- bzw. Shen/Castan-Operator)

  17. Skala: Original 1.4 5.6 Eckendetektion mit Rohr-Operator (Determinante des Strukturtensors)

  18. Skala: Original 1.4 5.6 Eckenextraktion mit Rohr-Operator (lokale Maxima der Operatorantwort)

  19. Orientierung: 0° 30° 90° Gaborfilter im Ortsraum gerade Filter ungerade Filter

  20. Gaborfilter-Energie – Skala 1 Original Filterantworten bei Skala 1 Orientierung: 0° 30° 90°

  21. Gaborfilter-Energie – Skala 2 Original Filterantworten bei Skala 2 Orientierung: 0° 30° 90°

  22. Gaborfilter-Energie – Skala 4 Original Filterantworten bei Skala 4 Orientierung: 0° 30° 90°

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