Methods for fast construction of bounding volume hierarchies

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Otimização em GPU de bounding volume hierarchies para ray tracing

Orientador: Hélio PedriniDissertação (mestrado) - Universidade Estadual de Campinas, Instituto de ComputaçãoResumo: Métodos de Ray Tracing são conhecidos por produzir imagens extremamente realistas ao custo de um alto esforço computacional. Pouco após terem surgido, percebeu-se que a maior parte do custo associado a estes métodos está relacionada a encontrar a intersecção entre o grande número de raios que precisam ser traçados e a geometria da cena. Estruturas de dados especiais que indexam e organizam a geometria foram propostas para acelerar estes cálculos, de forma que apenas um subconjunto da geometria precise ser verificado para encontrar as intersecções. Dentre elas, podemos destacar as Bounding Volume Hierarchies (BVH), que são estruturas usadas para agrupar objetos 3D hierarquicamente. Recentemente, uma grande quantidade de esforços foi aplicada para acelerar a construção destas estruturas e aumentar sua qualidade. Este trabalho apresenta um novo método para a construção de BVHs de alta qualidade em sistemas manycore. O método em questão é uma extensão do atual estado da arte na construção de BVHs em GPU, Treelet Restructuring Bounding Volume Hierarchy (TRBVH), e consiste em otimizar uma árvore já existente reorganizando subconjuntos de seus nós através de uma abordagem de agrupamento aglomerativo. A implementação deste método foi feita para a arquitetura Kepler utilizando CUDA e foi testada em dezesseis cenas que são comumente usadas para avaliar o desempenho de estruturas aceleradoras. É demonstrado que esta implementação é capaz de produzir árvores com qualidade comparável às geradas utilizando TRBVH para aquelas cenas, além de ser 30% mais rápidaAbstract: Ray tracing methods are well known for producing very realistic images at the expense of a high computational effort. Most of the cost associated with those methods comes from finding the intersection between the massive number of rays that need to be traced and the scene geometry. Special data structures were proposed to speed up those calculations by indexing and organizing the geometry so that only a subset of it has to be effectively checked for intersections. One such construct is the Bounding Volume Hierarchy (BVH), which is a tree-like structure used to group 3D objects hierarchically. Recently, a significant amount of effort has been put into accelerating the construction of those structures and increasing their quality. We present a new method for building high-quality BVHs on manycore systems. Our method is an extension of the current state-of-the-art on GPU BVH construction, Treelet Restructuring Bounding Volume Hierarchy (TRBVH), and consists of optimizing an already existing tree by rearranging subsets of its nodes using an agglomerative clustering approach. We implemented our solution for the NVIDIA Kepler architecture using CUDA and tested it on sixteen distinct scenes that are commonly used to evaluate the performance of acceleration structures. We show that our implementation is capable of producing trees whose quality is equivalent to the ones generated by TRBVH for those scenes, while being about 30% faster to do soMestradoCiência da ComputaçãoMestre em Ciência da Computaçã

Interactive ray tracing of massive and deformable models

Ray tracing is a fundamental algorithm used for many applications such as computer graphics, geometric simulation, collision detection and line-of-sight computation. Even though the performance of ray tracing algorithms scales with the model complexity, the high memory requirements and the use of static hierarchical structures pose problems with massive models and dynamic data-sets. We present several approaches to address these problems based on new acceleration structures and traversal algorithms. We introduce a compact representation for storing the model and hierarchy while ray tracing triangle meshes that can reduce the memory footprint by up to 80%, while maintaining high performance. As a result, can ray trace massive models with hundreds of millions of triangles on workstations with a few gigabytes of memory. We also show how to use bounding volume hierarchies for ray tracing complex models with interactive performance. In order to handle dynamic scenes, we use refitting algorithms and also present highly-parallel GPU-based algorithms to reconstruct the hierarchies. In practice, our method can construct hierarchies for models with hundreds of thousands of triangles at interactive speeds. Finally, we demonstrate several applications that are enabled by these algorithms. Using deformable BVH and fast data parallel techniques, we introduce a geometric sound propagation algorithm that can run on complex deformable scenes interactively and orders of magnitude faster than comparable previous approaches. In addition, we also use these hierarchical algorithms for fast collision detection between deformable models and GPU rendering of shadows on massive models by employing our compact representations for hybrid ray tracing and rasterization

Higher Performance Traversal and Construction of Tree-Based Raytracing Acceleration Structures

Ray tracing is an important computational primitive used in different algorithms including collision detection, line-of-sight computations, ray tracing-based sound propagation, and most prominently light transport algorithms. It computes the closest intersections for a given set of rays and geometry. The geometry is usually modeled with a set of geometric primitives such as triangles or quadrangles which define a scene. An efficient ray tracing implementation needs to rely on an acceleration structure to decouple ray tracing complexity from scene complexity as far as possible. The most common ray tracing acceleration structures are kd-trees and bounding volume hierarchies (BVHs) which have an O(log n) ray tracing complexity in the number of scene primitives. Both structures offer similar ray tracing performance in practice. This thesis presents theoretical insights and practical approaches for higher quality, improved graphics processing unit (GPU) ray tracing performance, and faster construction of BVHs and kd-trees, where the focus is on BVHs. The chosen construction strategy for BVHs and kd-trees has a significant impact on final ray tracing performance. The most common measure for the quality of BVHs and kd-trees is the surface area metric (SAM). Using assumptions on the distribution of ray origins and directions the SAM gives an approximation for the cost of traversing an acceleration structure without having to trace a single ray. High quality construction algorithms aim at reducing the SAM cost. The most widespread high quality greedy plane-sweep algorithm applies the surface area heuristic (SAH) which is a simplification of the SAM. Advances in research on quality metrics for BVHs have shown that greedy SAH-based plane-sweep builders often construct BVHs with superior traversal performance despite the fact that the resulting SAM costs are higher than those created by more sophisticated builders. Motivated by this observation we examine different construction algorithms that use the SAM cost of temporarily constructed SAH-built BVHs to guide the construction to higher quality BVHs. An extensive evaluation reveals that the resulting BVHs indeed achieve significantly higher trace performance for primary and secondary diffuse rays compared to BVHs constructed with standard plane-sweeping. Compared to the Spatial-BVH, a kd-tree/BVH hybrid, we still achieve an acceptable increase in performance. We show that the proposed algorithm has subquadratic computational complexity in the number of primitives, which renders it usable in practical applications. An alternative construction algorithm to the plane-sweep BVH builder is agglomerative clustering, which constructs BVHs in a bottom-up fashion. It clusters primitives with a SAM-inspired heuristic and gives mixed quality BVHs compared to standard plane-sweeping construction. While related work only focused on the construction speed of this algorithm we examine clustering heuristics, which aim at higher hierarchy quality. We propose a fully SAM-based clustering heuristic which on average produces better performing BVHs compared to original agglomerative clustering. The definitions of SAM and SAH are based on assumptions on the distribution of ray origins and directions to define a conditional geometric probability for intersecting nodes in kd-trees and BVHs. We analyze the probability function definition and show that the assumptions allow for an alternative probability definition. Unlike the conventional probability, our definition accounts for directional variation in the likelihood of intersecting objects from different directions. While the new probability does not result in improved practical tracing performance, we are able to provide an interesting insight on the conventional probability. We show that the conventional probability function is directly linked to our examined probability function and can be interpreted as covertly accounting for directional variation. The path tracing light transport algorithm can require tracing of billions of rays. Thus, it can pay off to construct high quality acceleration structures to reduce the ray tracing cost of each ray. At the same time, the arising number of trace operations offers a tremendous amount of data parallelism. With CPUs moving towards many-core architectures and GPUs becoming more general purpose architectures, path tracing can now be well parallelized on commodity hardware. While parallelization is trivial in theory, properties of real hardware make efficient parallelization difficult, especially when tracing so called incoherent rays. These rays cause execution flow divergence, which reduces efficiency of SIMD-based parallelism and memory read efficiency due to incoherent memory access. We investigate how different BVH and node memory layouts as well as storing the BVH in different memory areas impacts the ray tracing performance of a GPU path tracer. We also optimize the BVH layout using information gathered in a pre-processing pass by applying a number of different BVH reordering techniques. This results in increased ray tracing performance. Our final contribution is in the field of fast high quality BVH and kd-tree construction. Increased quality usually comes at the cost of higher construction time. To reduce construction time several algorithms have been proposed to construct acceleration structures in parallel on GPUs. These are able to perform full rebuilds in realtime for moderate scene sizes if all data completely fits into GPU memory. The sheer amount of data arising from geometric detail used in production rendering makes construction on GPUs, however, infeasible due to GPU memory limitations. Existing out-of-core GPU approaches perform hybrid bottom-up top-down construction which suffers from reduced acceleration structure quality in the critical upper levels of the tree. We present an out-of-core multi-GPU approach for full top-down SAH-based BVH and kd-tree construction, which is designed to work on larger scenes than conventional approaches and yields high quality trees. The algorithm is evaluated for scenes consisting of up to 1 billion triangles and performance scales with an increasing number of GPUs

Implicit Object Space Partitioning: The No-Memory BVH

We present a new ray tracing algorithm that requires no explicit acceleration data structure and therefore no memory. It is represented in a completely implicit way by triangle reordering. This new implicit data structure is simple to build, efficient to traverse and has a fast total time to image. The implicit acceleration data structure must be constructed only once and can be reused for arbitrary numbers of rays or ray batches without the need to rebuild the hierarchy. Due to the fast build times it is very well suitable for dynamic and animated scenes. We compare it to classic acceleration data structures, like a Bounding Volume Hierarchy, and analyze its effciency

Escape from Cells: Deep Kd-Networks for the Recognition of 3D Point Cloud Models

We present a new deep learning architecture (called Kd-network) that is designed for 3D model recognition tasks and works with unstructured point clouds. The new architecture performs multiplicative transformations and share parameters of these transformations according to the subdivisions of the point clouds imposed onto them by Kd-trees. Unlike the currently dominant convolutional architectures that usually require rasterization on uniform two-dimensional or three-dimensional grids, Kd-networks do not rely on such grids in any way and therefore avoid poor scaling behaviour. In a series of experiments with popular shape recognition benchmarks, Kd-networks demonstrate competitive performance in a number of shape recognition tasks such as shape classification, shape retrieval and shape part segmentation.Comment: Spotlight at ICCV'1