Multimedia Signal Processing
Image Processing
Thorsten Thormählen
June 23, 2023
Part 6, Chapter 1
Thorsten Thormählen
June 23, 2023
Part 6, Chapter 1
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Type | Font | Examples |
---|---|---|
Variables (scalars) | italics | $a, b, x, y$ |
Functions | upright | $\mathrm{f}, \mathrm{g}(x), \mathrm{max}(x)$ |
Vectors | bold, elements row-wise | $\mathbf{a}, \mathbf{b}= \begin{pmatrix}x\\y\end{pmatrix} = (x, y)^\top,$ $\mathbf{B}=(x, y, z)^\top$ |
Matrices | Typewriter | $\mathtt{A}, \mathtt{B}= \begin{bmatrix}a & b\\c & d\end{bmatrix}$ |
Sets | calligraphic | $\mathcal{A}, B=\{a, b\}, b \in \mathcal{B}$ |
Number systems, Coordinate spaces | double-struck | $\mathbb{N}, \mathbb{Z}, \mathbb{R}^2, \mathbb{R}^3$ |
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![]() 1 x 21 |
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![]() 21 x 21 |
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![]() x-direction
$\frac{1}{8}\begin{bmatrix}1 & 0 & -1\\
2 & 0 & -2\\
1 & 0& -1 \end{bmatrix}$
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![]() y-direction
$\frac{1}{8}\begin{bmatrix}1 & 2 & 1\\
0 & 0 & 0\\
-1 & -2& -1 \end{bmatrix}$
|
Brightness: | -100 | -75 | -50 | -25 | 0 | 25 | 50 | 75 | 100 |
Result: | ![]() |
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Contrast: | -100 | -75 | -50 | -25 | 0 | 25 | 50 | 75 | 100 |
Result: | ![]() |
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