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test-repo/docs/.vitepress/theme/components/appendix/vlm-intro/LinearProjectionDemo.vue
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<template>
<div class="linear-projection-demo">
<div class="demo-container">
<!-- Step 1: Patch -->
<div class="step-box">
<div class="label">1. Patch (16×16×3) (示意 / Toy)</div>
<div class="grid-patch">
<div
v-for="n in patchCellCount"
:key="n"
class="pixel"
:style="{ backgroundColor: getPixelColor(n) }"
></div>
</div>
<div class="desc">16×16 像素 × 3 通道 = 768 标量值</div>
</div>
<div class="arrow"></div>
<!-- Step 2: Flattened -->
<div class="step-box">
<div class="label">2. Flatten</div>
<div class="vector-container">
<div
v-for="n in flattenSampleCount"
:key="n"
class="vector-cell"
:style="{ backgroundColor: getPixelColor(n) }"
></div>
<div class="vector-ellipsis"></div>
</div>
<div class="desc">得到 1×768 向量 (Vector)</div>
</div>
<div class="arrow">× W</div>
<!-- Step 3: Projected -->
<div class="step-box">
<div class="label">3. Embedding</div>
<div class="embedding-container">
<div v-for="n in 8" :key="n" class="embed-cell"></div>
</div>
<div class="desc">映射到 D (示意 D=8常见 D=768)</div>
</div>
</div>
</div>
</template>
<script setup>
const patchCellCount = 16 * 16
const flattenSampleCount = 32
const getPixelColor = (n) => {
// Generate a gradient of colors
const hue = (n * 20) % 360
return `hsl(${hue}, 70%, 60%)`
}
</script>
<style scoped>
.linear-projection-demo {
padding: 20px;
background: var(--vp-c-bg-soft);
border-radius: 8px;
margin: 20px 0;
overflow-x: auto;
}
.demo-container {
display: flex;
align-items: center;
justify-content: space-around;
min-width: 600px;
}
.step-box {
display: flex;
flex-direction: column;
align-items: center;
gap: 10px;
}
.label {
font-weight: bold;
font-size: 0.9em;
color: var(--vp-c-text-2);
}
.desc {
font-size: 0.8em;
color: var(--vp-c-text-3);
}
.grid-patch {
display: grid;
grid-template-columns: repeat(16, 1fr);
gap: 1px;
width: 80px;
height: 80px;
}
.pixel {
width: 100%;
height: 100%;
border-radius: 2px;
}
.vector-container {
display: flex;
flex-direction: column;
gap: 1px;
height: 140px;
width: 20px;
justify-content: center;
}
.vector-cell {
width: 100%;
flex: 1;
}
.vector-ellipsis {
font-size: 12px;
line-height: 1;
color: var(--vp-c-text-3);
text-align: center;
padding-top: 4px;
}
.embedding-container {
display: flex;
flex-direction: column;
gap: 2px;
height: 80px;
width: 20px;
}
.embed-cell {
width: 100%;
flex: 1;
background-color: var(--vp-c-brand);
opacity: 0.8;
border-radius: 2px;
}
.arrow {
font-size: 1.5em;
color: var(--vp-c-text-3);
font-weight: bold;
}
</style>