Image Histogram

1. What is the main purpose of an image histogram?
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2. Which image operation changes the spatial arrangement of pixels without changing their gray-level values?
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3. In an 8-bit grayscale histogram, which gray-level range is normally represented?
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4. An image is transformed by adding the same positive constant to every pixel. Which change in its histogram is expected?
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5. A negative transformation for an 8-bit image is given by s=255−rs = 255-r. If a pixel has value r=40r=40, what is its transformed value?
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6. An image has a histogram concentrated in a narrow range of gray levels. What does this observation directly indicate?
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7. An image and its 180∘180^\circ rotated version are compared using their histograms. Why are the histograms the same?
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8. A histogram has two different images represented by the same gray-level frequencies but with different spatial arrangements. What can the histogram alone distinguish?
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9. For a bb-bit grayscale image, which expression gives the number of possible gray levels?
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