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The transformation s = T(r) producing a gray level s for each pixel value r of input image. Then, if the T(r) is single valued in interval 0 ≤ r ≤ 1, what does it signifies?

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The transformation s = T(r) producing a gray level s for each pixel value r of input image. Then, if the T(r) is single valued in interval 0 ≤ r ≤ 1, what does it signifies?

(a) It guarantees the existence of inverse transformation

(b) It is needed to restrict producing of some inverted gray levels in output

(c) It guarantees that the output gray level and the input gray level will be in same range

(d) All of the mentioned

This question was addressed to me during an online exam.

This intriguing question comes from Histogram Equalization and Processing in chapter Image Enhancement of Digital Image Processing

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Right choice is (a) It guarantees the existence of inverse transformation

Explanation: The T(r) is single valued in interval 0 ≤ r ≤ 1, guarantees the existence of inverse transformation.

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