Slope-space integrals for specular next event estimation

Loubet, Guillaume; Zeltner, Tizian; Holzschuch, Nicolas; Jakob, Wenzel

doi:10.1145/3414685.3417811

Cited by 12 publications

(19 citation statements)

References 43 publications

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“…In Figure 8, we compare the effectiveness of our method, path tracing, and biased SMS with equal time. We do not compare our method with SNEE [LZHJ20] in this context as it is designed for handling actual displacement geometry. Our method can achieve more SPP compared to the biased SMS method.…”

Section: Resultsmentioning

confidence: 99%

“…Recently, Jhang et al [JC22] proposed Specular Manifold Bisection Sampling (SMBS), which introduces a large mutation strategy to avoid the issue of converging to a local minimum in the SMS method. [LZHJ20] provides analytic expressions for predicting the total radiance resulting from a single reflective or refractive triangle with a microfacet BSDF. Building on this closed-form solution of a slope-space integral, SNEE achieves efficient caustics rendering, supporting surfaces ranging from ideally specular to near-specular and even highly rough materials.…”

Section: Caustics Renderingmentioning

confidence: 99%

“…Equal‐time comparison (1 minute) among our method, path tracing (PT), specular next event estimation(SNEE) [LZHJ20], biased specular manifold sampling (SMS) [ZGJ20] on the Slab scene. We report the number of samples per pixel (SPP) computed by each method and root mean square error (RMSE) compared to the reference image.…”

Section: Introductionmentioning

confidence: 99%

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Efficient Caustics Rendering via Spatial and Temporal Path Reuse

Xu,

Wang,

Wang

2023

Computer Graphics Forum

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Caustics are complex optical effects caused by the light being concentrated in a small area due to reflection or refraction on surfaces with low roughness, typically under a sharp light source. Rendering caustic effects is challenging for Monte Carlo‐based approaches, due to the difficulties of sampling the specular paths. One effective solution is using the specular manifold to locate these valid specular paths. Unfortunately, it needs many iterations to find these paths, leading to a long rendering time. To address this issue, our key insight is that the specular paths tend to be similar for neighboring shading points. To this end, we propose to reuse the specular paths spatially. More specifically, we generate some specular path samples with a low sample rate and then reuse these specular path samples as the initialization for specular manifold walk among neighboring shading points. In this way, much fewer specular path‐searching iterations are performed, due to the efficient initialization close to the final solution. Furthermore, this reuse strategy can be extended for dynamic scenes in a temporal manner, such as light moving or specular geometry deformation. Our method outperforms current state‐of‐the‐art methods and can handle multiple bounces of light and various scenes.

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Section: Resultsmentioning

confidence: 99%

Section: Caustics Renderingmentioning

confidence: 99%

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Efficient Caustics Rendering via Spatial and Temporal Path Reuse

Xu,

Wang,

Wang

2023

Computer Graphics Forum

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“…Koerner et al [KNK*16] introduce an additional vertex to allow for better sampling across a dielectric boundary after subsurface scattering. Specular next event estimation [LZHJ20] builds upon an effective parametrisation to construct a sampling data structure to handle specular and glossy light transport over one vertex. Weber et al [WHD17] create sub-paths with multiple vertices.…”

Section: Next Event Estimation (Nee)mentioning

confidence: 99%

Once‐more scattered next event estimation for volume rendering

Hanika

Weidlich²,

Droske³

2022

Computer Graphics Forum

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Two cases where highly forward scattering phase functions deliver a distinct look. Left: atmospheric haze, right: ocean water. The slices compare our specialised sampling technique to equiangular sampling and a reference image. The characteristic glow around the objects submerged in the medium disappears in noise for equiangular sampling, since it is caused by the phase function that is not importance sampled in this case. The images other than the reference are equal sample count and approximately equal time.

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“…Normal maps can be used to represent the microgeometry of glittery surfaces [Loubet et al 2020;Yan et al , 2016, but this implies high memory cost because a specific data structure for acceleration must be built from the normal map. Some works use procedural normal distribution functions (NDFs) [Atanasov and Koylazov 2016;Wang et al 2018] to reduce memory footprints and rendering time.…”

Section: Glint Renderingmentioning

confidence: 99%

Real-Time Geometric Glint Anti-Aliasing with Normal Map Filtering

Chermain

Lucas

Sauvage

et al. 2021

Proc. ACM Comput. Graph. Interact. Tech.

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Real-time geometric specular anti-aliasing is required when using a low number of pixel samples and high-frequency specular lobes. Several methods have been proposed for mono-lobe bidirectional reflection distribution functions (BRDFs), but none for multi-lobe BRDFs, e.g., a glinty BRDF. We present the first method for real-time geometric glint anti-aliasing (GGAA). It eliminates most of the inconsistent appearing and disappearing of glints on surfaces with significant curvatures during animations. The technique uses the glinty BRDF of Chermain et al. [2020] and leverages hardware GPU-filtering of textures to filter slope distributions on the fly. We also improve this glinty BRDF by adding a correlation factor of slope. This BRDF parameter allows convergence to normal distribution functions that are not aligned on the surface's axes. Above all, this parameter makes glint rendering compatible with normal map filtering using LEAN mapping. Using GGAA increases the rendering time from 0.6 % to 4.2 % and it requires 1/3 more memory due to MIP mapping of tabulated slope distributions. The results are compared with references using a thousand samples per pixel.

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Slope-space integrals for specular next event estimation

Cited by 12 publications

References 43 publications

Efficient Caustics Rendering via Spatial and Temporal Path Reuse

Efficient Caustics Rendering via Spatial and Temporal Path Reuse

Once‐more scattered next event estimation for volume rendering

Real-Time Geometric Glint Anti-Aliasing with Normal Map Filtering

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