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Chapter 9: Problem 75

Low-resolution digital photographs use \(262,144\) pixels in a \(512 \times 512\) grid. If you enlarge a low-resolution digital photograph enough, describe what will happen.

Short Answer

Expert verified
Upon enough enlargement, a low-resolution digital photograph will show clearly distinguishable individual pixels. This image degradation, commonly known as pixelation, results in a blocky and disjointed visual display of the photograph's colors and details.

Step by step solution

01

Implication of the pixel grid size

The photograph uses a \(512 \times 512\) pixel grid, meaning that there are 512 pixels across the width and 512 pixels down the height. This totals to \(512*512 = 262,144\) pixels, where each pixel is the smallest unit of this image.
02

Outcome of enlargement

Enlarging the image results in each pixel becoming larger because the same number of pixels, \( 262,144 \), has to cover a significantly larger area. Since a pixel is a point sample, it does not carry information about what might or should exist between them.
03

Visual quality

As a result, upon enlargement, the pixels will start to become noticeable as individual colored squares, especially when viewing the photograph up-close. This phenomenon is known as pixelation. Consequently, details will become blocky, colors disjointed, resulting in an overall degradation in the image's visual quality.

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Most popular questions from this chapter

Let $$ A=\left[\begin{array}{rr} {-3} & {-7} \\ {2} & {-9} \\ {5} & {0} \end{array}\right] \text { and } B=\left[\begin{array}{rr} {-5} & {-1} \\ {0} & {0} \\ {3} & {-4} \end{array}\right] $$ Solve each matrix equation for X. $$ X-A=B $$

Perform the indicated matrix operations given that \(A, B,\) and \(C\) are defined as follows. If an operation is not defined, state the reason. $$ A=\left[\begin{array}{rr} {4} & {0} \\ {-3} & {5} \\ {0} & {1} \end{array}\right] \quad B=\left[\begin{array}{rr} {5} & {1} \\ {-2} & {-2} \end{array}\right] \quad C=\left[\begin{array}{rr} {1} & {-1} \\ {-1} & {1} \end{array}\right] $$ $$ B C+C B $$

Solve: \(2 \cos ^{2} x+3 \sin x-3=0, \quad 0 \leq x<2 \pi\)

Determine whether each statement makes sense or does not make sense, and explain your reasoning. I added matrices of the same order by adding corresponding elements.

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