Computer Vision Foundations · 免费预览

卷积实践

冲激卷积核作为平移与复制，盒式卷积核作为散焦，以及用冲激探测未知系统以读出其卷积核。

1. The impulse and its shifted friends

The impulse and its shifted friends

2. The box kernel is defocus

The box kernel is defocus

3. Probing a system with an impulse

Probing a system with an impulse

4. Rooms, claps and echoes

Rooms, claps and echoes

5. What a shifted impulse does

A filter is defined by the kernel h[n]=δ[n−3]h[n] = \delta[n-3], an impulse with value 1 at index 3 and 0 elsewhere. What is the output for an arbitrary input ℓin\ell_{\text{in}}?

6. Reading an impulse response

You clap once in an unfamiliar hall and the recording shows a strong arrival at time 0, a weaker arrival at 40 ms and a still weaker one at 80 ms. Assuming the hall is linear and translation-invariant, what have you measured?

7. Energy of a signal

A short signal has values [3,4][3, 4]. Compute its energy E=∑n∣ℓ[n]∣2E = \sum_n |\ell[n]|^2 and write the result.

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