Consider a block (8x8 pixels) of an image as shown below. In a particular color plane, the pixel values are as follows:
$Consider a block (8x8 pixels) of an image as shown below. In a particular color plane, the pixel values are as follows: A standard 2-D DCT for an 8 \times 8 block size is defined as F(u, v)=\frac{C(u) C(v)}{4} \sum_{i=0}^{7} \sum_{j=0}^{7} \cos \frac{(2 i+1) \cdot u \pi}{16} \cos \frac{(2 j+1) \cdot v \pi}{16} f(i, j), where i, j, u, v are in 0 . .7 , and the constants C(u) and C(v) are determined by C(\xi)=\left\{\begin{array}{cl} \frac{\sqrt{2}}{2} & \text { if } \xi=0 \\ 1 & \text { otherwise. } \end{array}\right. Suppose we compute a DCT F(u, v) , where u is rows and v is columns. (a) What value does F(0,0) have? Explain. (b) Describe the contents (roughly) of the other components. Explain. Hint: Just thinking about it, rather than calculating everything, will save you time. What are values F(u, 0) . What are values F(0, v) . What are other values F(u, v) .$
A standard 2-D DCT for an

8 \times 8

block size is defined as

F(u, v)=\frac{C(u) C(v)}{4} \sum_{i=0}^{7} \sum_{j=0}^{7} \cos \frac{(2 i+1) \cdot u \pi}{16} \cos \frac{(2 j+1) \cdot v \pi}{16} f(i, j),

where

i, j, u, v

are in

0 . .7

, and the constants

C(u)

and

C(v)

are determined by

C(\xi)=\left\{\begin{array}{cl}\frac{\sqrt{2}}{2} & \text { if } \xi=0 \\1 & \text { otherwise. }\end{array}\right.

Suppose we compute a DCT

F(u, v)

, where

u

is rows and

v

is columns.
(a) What value does

F(0,0)

have? Explain.
(b) Describe the contents (roughly) of the other components. Explain.
Hint: Just thinking about it, rather than calculating everything, will save you time. What are values

F(u, 0)

. What are values

F(0, v)

.
What are other values

F(u, v)

In Many Computer Graphics Applications γ\gammaγ -Correction Is Performed Only in a Color LUT (Look-Up Table)

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Correct Answer:VerifiedGamma-corrected values are Fo...View AnswerUnlock this answer nowGet Access to more Verified Answers free of chargeView Full Answer For Free

In Many Computer Graphics Applications $\gamma$ -Correction Is Performed Only in a Color LUT (Look-Up Table)

Correct Answer:
Verified
Gamma-corrected values are
Fo...
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