Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Second-Order Occlusion-Aware Volumetric Radiance Caching   We present a second-order gradient analysis of light transport in
participating media and use this to develop an improved radiance caching
algorithm for volumetric light transport. We adaptively sample and interpolate
radiance from sparse points in the medium using a second-order Hessian-based
error metric to determine when interpolation is appropriate. We derive our
metric from each point's incoming light field, computed by using a proxy
triangulation-based representation of the radiance reflected by the surrounding
medium and geometry. We use this representation to efficiently compute the
first- and second-order derivatives of the radiance at the cache points while
accounting for occlusion changes.
  We also propose a self-contained two-dimensional model for light transport in
media and use it to validate and analyze our approach, demonstrating that our
method outperforms previous radiance caching algorithms both in terms of
accurate derivative estimates and final radiance extrapolation. We generalize
these findings to practical three-dimensional scenarios, where we show improved
results while reducing computation time by up to 30\% compared to previous
work.

24
The categories of this paper are: dg-ga
15
The categories of this paper are: nucl-ex
28
The categories of this paper are: alg-geom
3
The categories of this paper are: physics
23
The categories of this paper are: solv-int
27
The categories of this paper are: comp-gas
5
The categories of this paper are: gr-qc
35
The categories of this paper are: mtrl-th
34
The categories of this paper are: chem-ph
25
The categories of this paper are: patt-sol
9
The categories of this paper are: nlin
2
The categories of this paper are: math
22
The categories of this paper are: chao-dyn
37
The categories of this paper are: supr-con
0
The categories of this paper are: hep-ph
13
The categories of this paper are: quant-ph