Noise Dependence on the Number of Rays in Bidirectional Stochastic Ray Tracing with Photon Maps

Ershov, Sergey; Birukov, Еlissey Dmitrievich; Voloboy, Alexey; Галактионов, В. А.

doi:10.1134/s036176882103004x

Cited by 4 publications

(2 citation statements)

References 10 publications

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“…In BDPM the variance of the pixel luminance calculated from forward rays and backward rays obeys the general law [26]:…”

Section: Bdpm Noisementioning

confidence: 99%

Optimal MIS weights in case of mixing 3 strategies for bidirectional MCRT with photon maps

Ershov,

Kopylov,

Pozdnyakov

et al. 2023

MathMon

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Bidirectional Monte Carlo ray tracing with photon maps is a powerful method for rendering images. But stochastic noise is inherent in it. However, this noise can be reduced using the multiple importance sampling technique which combines the weighted results of different strategies. The optimal weights allow you to minimize the noise functional and, thus, render the image of the best quality. In this paper, we determine the optimal weights using a system of integral equations derived and solved by us. This system has several qualitative differences from the case of mixing two strategies investigated previously. But further increasing the number of strategies does not change the qualitative features of the system. The system can be solved in a closed form, i.e. as an algebraic formula that includes several integrals of known functions. They can be calculated during ray tracing. Therefore, application of the optimal weights in Monte Carlo ray tracing results in faster rendering of high quality realistic images.

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“…In BDPM the variance of the pixel luminance calculated from forward rays and backward rays obeys the general law [26]:…”

Section: Bdpm Noisementioning

confidence: 99%

Optimal MIS weights in case of mixing 3 strategies for bidirectional MCRT with photon maps

Ershov,

Kopylov,

Pozdnyakov

et al. 2023

MathMon

View full text Add to dashboard Cite

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“…Для повышения эффективности вычислений и снижения ошибки, вызванной конечным значением радиуса сферы интегрирования, метод прямых фотонных карт использует так называемый финальный сбор [6]. Аналогичные решения применяются и в методе обратных фотонных карт, например, выбор оптимальной стратегии интегрирования яркости вторичного освещения (выбор глубины интегрирования на диффузной трассе луча [7] и весовых коэффициентов для яркости вторичного освещения с различных точек интегрирования [8], выбор оптимального числа обратных фотонов [9]).…”

Section: рисунок 2 -сбор освещенности с фотонной карты по сфере интег...unclassified

Creation of an Effective Spatial Structure of Photon Maps to Speed up the Rendering Process

Khalimov

Zhdanov

2022

Proceedings of the 32nd International Conference on Computer Graphics and Vision

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The analysis of realistic rendering methods from the point of view of the efficiency of calculation of secondary and caustic illumination is carried out. A method of bidirectional stochastic ray tracing using photonic maps is proposed, which ensures high efficiency of calculation of caustic illumination. The main approaches of using the photon maps method are considered: the construction of photon maps on the traces of forward rays and on the traces of backward rays. The advantages and disadvantages of these methods are revealed. The method of bidirectional stochastic ray tracing using backward photon maps is chosen as the basic solution. Profiling of this solution was carried out based on the Lumicept software package. The main problems associated with slowing down the rendering process have been identified. For most scenes, half of the rendering time was spent processing requests to the photon map: searching for nearby photons within the cell of the spatial structure and searching for the intersection of the ray with the integrating photon spheres. Several solutions for spatial partitioning of photonic maps were analyzed: a regular mesh, a regular mesh with a hash table and a binary tree. The advantages and disadvantages of the solutions under consideration are revealed and a combined solution is proposed that combines the adaptability of splitting a binary tree and the access efficiency provided by hash tables. A combined solution has been implemented in the Lumicept software package, which will increase the overall rendering efficiency by 30%.

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Optimal number of rays in bi-directional stochastic ray tracing with photon maps

Ershov

Voloboy

Андреев

et al. 2021

Illumination Optics VI

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Noise Dependence on the Number of Rays in Bidirectional Stochastic Ray Tracing with Photon Maps

Cited by 4 publications

References 10 publications

Optimal MIS weights in case of mixing 3 strategies for bidirectional MCRT with photon maps

Optimal MIS weights in case of mixing 3 strategies for bidirectional MCRT with photon maps

Creation of an Effective Spatial Structure of Photon Maps to Speed up the Rendering Process

Optimal number of rays in bi-directional stochastic ray tracing with photon maps

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