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2026-05-03 11:47:30 +08:00
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<svg width="440" height="120" xmlns="http://www.w3.org/2000/svg">
<defs>
<marker id="svd-arr" markerWidth="7" markerHeight="5" refX="7" refY="2.5" orient="auto">
<path d="M0,0 L7,2.5 L0,5" fill="#999"/>
</marker>
</defs>
<!-- Step 1: circle -->
<text x="40" y="14" text-anchor="middle" fill="#333" font-size="10" font-weight="bold">Input</text>
<circle cx="40" cy="60" r="30" fill="#3498db" fill-opacity="0.15" stroke="#3498db" stroke-width="1.5"/>
<!-- Arrow + V^T -->
<line x1="78" y1="60" x2="105" y2="60" stroke="#999" stroke-width="1.2" marker-end="url(#svd-arr)"/>
<text x="92" y="52" fill="#9b59b6" font-size="10" font-weight="bold">V&#x1D40;</text>
<!-- Step 2: rotated circle (still circle) -->
<text x="140" y="14" text-anchor="middle" fill="#333" font-size="10" font-weight="bold">Rotate</text>
<circle cx="140" cy="60" r="30" fill="#9b59b6" fill-opacity="0.1" stroke="#9b59b6" stroke-width="1.5"/>
<!-- axis indicators rotated -->
<line x1="140" y1="60" x2="165" y2="45" stroke="#9b59b6" stroke-width="1" stroke-dasharray="3"/>
<line x1="140" y1="60" x2="125" y2="40" stroke="#9b59b6" stroke-width="1" stroke-dasharray="3"/>
<!-- Arrow + Sigma -->
<line x1="178" y1="60" x2="205" y2="60" stroke="#999" stroke-width="1.2" marker-end="url(#svd-arr)"/>
<text x="192" y="52" fill="#e74c3c" font-size="10" font-weight="bold">Σ</text>
<!-- Step 3: ellipse (stretched) -->
<text x="260" y="14" text-anchor="middle" fill="#333" font-size="10" font-weight="bold">Scale</text>
<ellipse cx="260" cy="60" rx="45" ry="20" fill="#e74c3c" fill-opacity="0.1" stroke="#e74c3c" stroke-width="1.5"/>
<!-- axis lines -->
<line x1="215" y1="60" x2="305" y2="60" stroke="#e74c3c" stroke-width="0.8" stroke-dasharray="3"/>
<line x1="260" y1="40" x2="260" y2="80" stroke="#e74c3c" stroke-width="0.8" stroke-dasharray="3"/>
<text x="285" y="53" fill="#e74c3c" font-size="9">σ₁</text>
<text x="264" y="47" fill="#e74c3c" font-size="9">σ₂</text>
<!-- Arrow + U -->
<line x1="310" y1="60" x2="337" y2="60" stroke="#999" stroke-width="1.2" marker-end="url(#svd-arr)"/>
<text x="324" y="52" fill="#27ae60" font-size="10" font-weight="bold">U</text>
<!-- Step 4: rotated ellipse -->
<text x="395" y="14" text-anchor="middle" fill="#333" font-size="10" font-weight="bold">Rotate</text>
<ellipse cx="395" cy="60" rx="42" ry="20" fill="#27ae60" fill-opacity="0.1" stroke="#27ae60" stroke-width="1.5" transform="rotate(-30,395,60)"/>
<text x="220" y="108" text-anchor="middle" fill="#666" font-size="10">A = UΣV&#x1D40;: rotate → scale → rotate</text>
</svg>

After

Width:  |  Height:  |  Size: 2.6 KiB