Question at position 17 Which image is post PCA transformation? (A) (B) image.png BA单项选择题
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Question

Question at position 17 Which image is post PCA transformation? (A) (B) image.png BA

BlackTom AI · Accepted Answer

Projecting an image onto a small number of principal components and reconstructing it removes high‑frequency detail and noise, leaving a smoother, lower‑contrast version that preserves large-scale structure (overall shapes and shading) but blurs fine textures and crisp edges.

Relevant knowledge points and concepts:
- Principal Component Analysis (PCA) finds orthogonal directions of greatest variance; applying PCA to an image (treated as a high‑dimensional vector) and then reconstructing from only a few components captures the dominant low‑frequency content and discards high‑frequency detail.
- A PCA‑reconstructed image therefore appears smoother, with softened edges and reduced fine texture and contrast compared to the original.
- The original (pre‑PCA) image typically shows sharper edges, more local detail, and higher contrast.

Step‑by‑step reasoning:
1. Predict the visual signature of a post‑PCA (low‑rank) reconstruction: blurring of fine patterns, softer transitions, loss of small-scale speckle and edges.
2. Inspect image (A): it shows crisp, high‑contrast edges on the butterfly wings and distinct fine texture in the flowers and stems—evidence of intact high‑frequency components.
3. Inspect image (B): shapes and overall composition are preserved, but wing boundaries and flower textures are noticeably smoother and less detailed; contrast is slightly reduced and small features are smoothed out—matching the expected PCA reconstruction effect.
4. Therefore image (B) corresponds to a post‑PCA transformation, while image (A) appears to be the original or pre‑PCA version.

Why the correct answer is correct:
- Image B exhibits the hallmark low‑rank reconstruction artifacts (blurred fine details, softened edges), consistent with PCA compression/reconstruction.

Why the other option is incorrect:
- Image A retains sharp, detailed high‑frequency content inconsistent with a PCA‑reconstructed image from a reduced number of components.

Conclusion: The post‑PCA image is B, which matches the provided answer.

Question at position 17 Which image is post PCA transformation? (A) (B) image.png BA单项选择题

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