Answer Happy

Lmax (r2,s2) T(r) (r1,s1) 0 Lmax Fig. 4(g) In the global enhancement of an image by point transformation, a Transfer Function T(r) is designed to transform the gray level of the original image (r) to new gray level (s) of the transformed image with the desired enhancement effects. T(r) usually consists of line segments joined at the point where transformation of a certain effect begins. Fig 4(g) shows an example of a s = T(1) with points (,) and (1₂,5₂). In the figure Lmax is the maximum gray level value available. (1) Given a gray-level image with gray level r lying in the interval [0,240]. We wish to compress the gray level intervals [0,80] and [160,240] by a factor of 2, and expand the gray level in the interval [80,160] by a factor of 2. Find the transfer function T(r) required to achieve the transformation. Sketch the transfer function and label the points (₁,₁) and (12,5₂). (ii) Suppose now we have an image with gray level r ranges in the interval [0,30]. Determine the transfer function T(r) for the following transformation: Stretches the gray level r in interval [0,10] to s in the interval [0,15]; Shift the gray level in the interval [10,20] to s in the interval [15,25]; and Compresses the gray level r in the interval [20,30] to s in the interval [25,30]. Sketch the transfer function and label the points (₁, ₁) and (1₂,5₂).