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Chapter 6: 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
When a low-resolution digital photograph is enlarged enough, each pixel becomes noticeable and the image appears grainy or pixelated. This is due to the pixel's data being spread over a larger area.

Step by step solution

01

Understanding of Pixels

Firstly, understand what are pixels. They are the smallest units in a digital image and they are arranged in a grid to form an image. Each pixel carries data about the color and intensity in an image.
02

Understanding of Low-Resolution images

Know that a low-resolution image such as this one with 262,144 pixels (arranged in a \(512 \times 512\) grid) carries less data. When we zoom in or enlarge the image, each pixel is spread over a larger area, causing individual pixels to become discernable.
03

Visualise Pixelation

Visualising the effect of enlarging the low-resolution image, the image will look grainy or pixelated, as individual pixels become more visible. The image loses its sharpness and clarity as the same level of data is spread over a larger viewing area.

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Most popular questions from this chapter

Use a coding matrix \(A\) of your choice. Use a graphing utility to find the multiplicative inverse of your coding matrix. Write a cryptogram for cach message. Check your result by decoding the cryptogram. Use your graphing utility to perform all necessary matrix multiplications. $$\begin{array}{llllllllllll}\mathrm{A} & \mathrm{R} & \mathrm{T} & \- & \mathrm{E} & \mathrm{N} & \mathrm{R} & \mathrm{I} & \mathrm{C} & \mathrm{H} & \mathrm{E} & \mathrm{S} \\\1 & 18 & 20 & 0 & 5 & 14 & 18 & 9 & 3 & 8 & 5 & 19\end{array}$$

Let $$\begin{aligned}&A=\left[\begin{array}{ll}1 & 0 \\\0 & 1\end{array}\right], \quad B=\left[\begin{array}{rr}1 & 0 \\\0 & -1\end{array}\right], \quad C=\left[\begin{array}{rr}-1 & 0 \\ 0 & 1\end{array}\right]\\\&D=\left[\begin{array}{rr}-1 & 0 \\\0 & -1\end{array}\right]\end{aligned}$$ Use any three of the matrices to verify a distributive property.

Determinants are used to write an equation of a line passing. through two points. An equation of the line passing through the distinct points \(\left(x_{1}, y_{1}\right)\) and \(\left(x_{2}, y_{2}\right)\) is given by $$\left|\begin{array}{lll}x & y & 1 \\\x_{1} & y_{1} & 1 \\\x_{2} & y_{2} & 1\end{array}\right|=0$$ Use the determinant to write an equation of the line passing through \((3,-5)\) and \((-2,6) .\) Then expand the determinant, expressing the line's equation in slope-intercept form.

Let $$\begin{aligned}&A=\left[\begin{array}{ll}1 & 0 \\\0 & 1\end{array}\right], \quad B=\left[\begin{array}{rr}1 & 0 \\\0 & -1\end{array}\right], \quad C=\left[\begin{array}{rr}-1 & 0 \\ 0 & 1\end{array}\right]\\\&D=\left[\begin{array}{rr}-1 & 0 \\\0 & -1\end{array}\right]\end{aligned}$$ Use any three of the matrices to verify an associative property.

If two matrices can be multiplied, describe how to determine the order of the product.
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