1. Image Filter dan Edge Detection

2. PERMUKAAN IMAGE IMAGE PLANE X Y Graylevel I(x,y)

3. STEP EDGE Gray_1 Gray_2 Sideview

4. DETEKSI EDGE ORDE PERTAMA -1 0 1 -1 -1 -1 0 0 0 1 1 1 Prewitt Templates -1 0 1 -2 0 2 -1 0 1 -1 -2 -1 0 0 0 1 2 1 Sobel Templates

5. Isotropic Good Localization Good Signal-To-Noise Characteristics Accurate Determination of Edge Orientation EDGE DETEKTOR YG BAIK BILA:

6. ISOTROPIC EDGE DETECTION

7. SIGNAL-TO-NOISE RATIO AND LOCALIZATION Noise Added to Image Edge Image Smoothed Image Edge Image

8. Contoh pattern berbagai frekuensi

9. TURUNAN DARI STEP-EDGE

10. EDGE OPERATOR ORDE 2 MARR-HILDRETH OPERATOR Dikombinasikan dengan Gaussian smoothing. 0 -1 0 -1 4 -1 0 -1 0 -1 -1 -1 -1 8 -1 -1 -1 -1

11. FUNGSI GAUSSIAN 1-D DAN 2-D

12. MEXICAN HAT FILTER

13. EDGE OPERATOR ORDE 2 CANNY OPERATOR: Take second derivative in direction of gradient (Ix,Iy). Look for ‘Zero-Crossing’ of second derivative in this direction. Can also threshold with respect to first order edge strength. Direction of first order gradient (Ix,Iy) gives edge orientation. Proved to have optimal localization properties.