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HDR Plenoxel์—์„œ๋Š” coarse-to-fine์œผ๋กœ ํ•™์Šต์„ ์ง„ํ–‰ํ•ฉ๋‹ˆ๋‹ค.

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Spherical Harmonics Regularization

์ €ํ’ˆ์งˆ ์ž…๋ ฅ ์กฐ๊ฑด์—์„œ, ์ฃผ๋ณ€ ๋ทฐ๋กœ๋ถ€ํ„ฐ ์–ป์€ LDR ์ด๋ฏธ์ง€๋“ค์ด ํฌ๊ฒŒ ๋™์ ์ธ ๋…ธ์ถœ ์ฐจ์ด๋ฅผ ๊ฐ€์ง€๋Š” ๊ฒฝ์šฐ, ์œ„์˜ ์ดˆ๊ธฐํ™”๋Š” ์ดˆ๊ธฐ ์ตœ์ ํ™” ๋‹จ๊ณ„๋ฅผ ์•ˆ์ •ํ™”์‹œํ‚ต๋‹ˆ๋‹ค. ๋งŒ์•ฝ ํ™”์ดํŠธ ๋ฐธ๋Ÿฐ์Šค์˜ ์ตœ์ ํ™” ์†๋„๊ฐ€ SH ๊ณ„์ˆ˜์˜ ์ตœ์ ํ™” ์†๋„์™€ ๋งž์ง€ ์•Š์œผ๋ฉด, ์ตœ์ ํ™”์˜ ํ›„๋ฐ˜ ๋‹จ๊ณ„์—์„œ ๋ชจํ˜ธ์„ฑ์ด ๋‹ค์‹œ ๋ฐœ์ƒํ•  ์ˆ˜ ์žˆ์Šต๋‹ˆ๋‹ค. ์ด๋ฅผ ์ •๊ทœํ™”ํ•˜๊ธฐ ์œ„ํ•ด, ์šฐ๋ฆฌ๋Š” SH coefficient masking์„ ๋„์ž…ํ•ฉ๋‹ˆ๋‹ค. ์ด๋Š” ๋จผ์ € ํ™•์‚ฐ ๋ฐ˜์‚ฌ ์†์„ฑ(diffuse reflectance property, view direction invariant radiance)์„ ํ•™์Šตํ•˜๊ณ , ๊ทธ ํ›„ ๋ทฐ ๋ฐฉํ–ฅ์— ๋ฏผ๊ฐํ•œ ํŠน์„ฑ(view direction sensitive ones)์„ ํ•™์Šตํ•˜๋„๋ก ์ผ์ •์„ ์กฐ์ •ํ•  ์ˆ˜ ์žˆ๊ฒŒ ํ•ฉ๋‹ˆ๋‹ค. ์ฆ‰, ์ €์ฃผํŒŒ์ˆ˜ ์ฐจ์ˆ˜ SH์—์„œ ๊ณ ์ฃผํŒŒ์ˆ˜ ์ฐจ์ˆ˜ SH๋กœ ํ•™์Šต์„ ์ง„ํ–‰ํ•ฉ๋‹ˆ๋‹ค.

๋ฐฉ๋ฒ•

  • ์šฐ๋ฆฌ๋Š” 2์ฐจ ๋ฐ 3์ฐจ์˜ SH ๊ณ„์ˆ˜์— SH masking์„ ์ ์šฉํ•ฉ๋‹ˆ๋‹ค.
  • ์ดˆ๊ธฐ 5 ์—ํฌํฌ ๋™์•ˆ SH masking ๋น„์œจ์„ 1/5์”ฉ ๊ฐ์†Œ์‹œ์ผœ ์ ์ง„์ ์œผ๋กœ ํ•™์Šตํ•ฉ๋‹ˆ๋‹ค.
    • Epoch 1: SH masking ๋น„์œจ 1
    • Epoch 2: SH masking ๋น„์œจ 0.8
    • Epoch 3: SH masking ๋น„์œจ 0.6
    • Epoch 4: SH masking ๋น„์œจ 0.4
    • Epoch 5: SH masking ๋น„์œจ 0.2
  • ์ดˆ๊ธฐ 5 ์—ํฌํฌ ์ดํ›„์—๋Š” ๋ชจ๋“  ์ฐจ์ˆ˜์˜ SH๋ฅผ ์™„์ „ํ•œ ๋น„์œจ๋กœ ์—…๋ฐ์ดํŠธํ•ฉ๋‹ˆ๋‹ค, ์ฆ‰, SH masking์„ ์ ์šฉํ•˜์ง€ ์•Š์Šต๋‹ˆ๋‹ค.

ํšจ๊ณผ

์ด๋Ÿฌํ•œ ์ผ์ • ์กฐ์ •์€ ์–ด๋ ค์šด ์กฐ๊ฑด์˜ ์ž…๋ ฅ ์ผ€์ด์Šค์— ๋Œ€ํ•œ ์ตœ์ ํ™”๋ฅผ ๋ˆˆ์— ๋„๊ฒŒ ์•ˆ์ •ํ™”ํ•ฉ๋‹ˆ๋‹ค.

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Reference

HDR-Plenoxels: Self-Calibrating High Dynamic Range Radiance Fields

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