Computer Vision Foundations · 免费预览

信号与线性系统

信号作为采样测量值，系统作为信号上的映射，以及大多数日常图像操作都是线性的、因而是矩阵的发现。

1. Signals and their samples

Signals and their samples

2. Systems map signals to signals

Systems map signals to signals

3. Linearity, and the quiz that surprises people

Linearity, and the quiz that surprises people

4. A linear system is a fully connected layer

A linear system is a fully connected layer

5. Which operations are linear

Which of the following image operations is linear, meaning it satisfies both $f(\ell_1+\ell_2)=f(\ell_1)+f(\ell_2)$ and $f(a\ell)=af(\ell)$ ?

6. Reading the general linear form

A linear system on discrete signals is written $\ell_{\text{out}}[n] = \sum_k h[n,k]\,\ell_{\text{in}}[k]$ . What does the entry $h[n,k]$ alone tell you?

7. The DC value

A four-sample signal has values $\ell = [1, 2, 3, 6]$ . Compute its DC value $\mu = \frac{1}{N}\sum_{n=0}^{N-1}\ell[n]$ and write it as a decimal.

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