By Peter W. Hawkes (Eds.)

ISBN-10: 0120147610

ISBN-13: 9780120147618

Advances in Imaging and Electron Physics merges long-running serials-Advances in Electronics and Electron Physics and Advances in Optical and Electron Microscopy. The sequence positive aspects prolonged articles at the physics of electron units (especially semiconductor devices), particle optics at low and high energies, microlithography, picture technology and electronic snapshot processing, electromagnetic wave propagation, electron microscopy, and the computing equipment utilized in these types of domain names.

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**Additional info for Aspects of Image Processing and Compression**

**Example text**

The 2N + 1 inputs are the numbers xi, whereas the rest are dummy inputs di (0 < l ≤ 2N). The binary values of the dummy inputs can be either 00 . . 0 or 11 . . 1. This implies that when the W numbers are ordered in ascending sequence, dl are placed to the extremes of this sequence. 2. Systolic Array Implementation for Soft Morphological Filtering a. , 1998b). The central pixel of the structuring element is its core, whereas the other eight pixels constitute its soft boundary. The inputs to this array are the nine pixels of the image window and the nine pixels of the soft morphological structuring element and a control signal MODE.

L*1 XNORs L2 from the adder corresponding to the core pixel. p1 d8 L3 L4 . . . L3 L4 ... MUX2 L3 L4 . . . . . MUX2 L3 L4 . . . . . L11 ... L11 . . . L11 ... PE i1... i8 L**1 F/F L2 F/F CONTROL UNIT b9 b1 r0 MODE L11 ... k . . r1 t 1 L**4 . . r8 t 8 L**11 o1 PE o8 L*4 . . o9 L*11 pi : image data si : structuring element data di :dummy numbers Figure 10. Systolic array hardware structure implementing the majority gate technique for soft morphological ﬁltering. L*12 o 42 M.

It is obvious that for k = 1, Eqs. (59) and (60) are reformed to Eqs. , standard fuzzy morphology. 1 Let us consider the image A and the structuring element B. Fuzzy soft erosion and fuzzy soft dilation are computed for cases k = 1 and k = 2. 0 μ Bs In order to preserve the nature of soft morphological operations, the constraint k ≤ min {Card(B)/2, Card(B2)} is adopted in fuzzy soft mathematical morphology as well as in soft mathematical morphology. In this example only the cases of k = 1 and k = 2 are considered, in order to comply with this constraint.

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