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@@ -68,7 +68,7 @@ $$min_{\theta}\sum_{i}\left\| render_{i}(F_{\Theta}-I_{i}\right\|^{2}$$
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![In this illustration taken from the paper, the five variables are fed
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into the MLP to produce color and volume density. $F_\Theta$ has 9
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layers, 256 channels](assets/raydiagram.png "fig:") [fig:my~l~abel]
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layers, 256 channels](assets/raydiagram.png "fig:") [fig:Figure 1]
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In practice, the Cartesian coordinates are expressed as vector d. You
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![Mapping how Fourier features are related to NeRF’s positional
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encoding. Taken from Jon Barron’s CS 231n talk in Spring
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2021](assets/fourier.png "fig:") [fig:my~l~abel]
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2021](assets/fourier.png "fig:") [fig:Figure 2]
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NeRF also uses hierarchical volume sampling: coarse sampling and the
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fine network. This allows NeRF to more efficiently run their model and
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NeRF outperforms existing models. A visual assessment is shared below:
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![Example of NeRF results versus existing SOTA
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results](assets/NeRFresults.png "fig:") [fig:my~l~abel]
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results](assets/NeRFresults.png "fig:") [fig:Figure 3]
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Additional references
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=====================

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