For the transformation T(r) = [∫0^r pr(w) dw], r is gray value of input image, pr(r) is PDF of random variable r and w is a dummy variable. If, the PDF are always positive and that the function under integral gives the area under the function, the transformation is said to be __________(a) Single valued(b) Monotonically increasing(c) All of the mentioned(d) None of the mentionedI have been asked this question in a national level competition.I would like to ask this question from Histogram Equalization and Processing topic in division Image Enhancement of Digital Image Processing

For the transformation T(r) = [∫0^r pr(w) dw], r is gray value of in

1.	For the transformation T(r) = [∫0^r pr(w) dw], r is gray value of input image, pr(r) is PDF of random variable r and w is a dummy variable. If, the PDF are always positive and that the function under integral gives the area under the function, the transformation is said to be __________(a) Single valued(b) Monotonically increasing(c) All of the mentioned(d) None of the mentionedI have been asked this question in a national level competition.I would like to ask this question from Histogram Equalization and Processing topic in division Image Enhancement of Digital Image Processing
Answer» The correct answer is (C) All of the mentioned Best EXPLANATION: For the given transformation, the PDF being positive and the integral providing area under the FUNCTION, the transformation function is SINGLE valued as well as monotonically increasing.

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