EUROGRAPHICS 2012 / P. Cignoni, T. Ertl Volume 31 (2012), Number 2 (Guest Editors)
Rasterized Bounding Volume Hierarchies
Jan Novák and Carsten Dachsbacher
Computer Graphics Group / Karlsruhe Institute of Technology
Supplementary Material
In this supplementary material we provide the complete evaluation of the performance and quality of our Rasterized Bounding Volume Hierarchy (RBVH). Figure1 shows seven models represented with different levels of approximation: from the finest (Q0) to the coarsest (Q4) (columns 2 - 6), and the reference rendering (column 1), which was obtained by ray tracing the triangle based BVH from [AL09]. All results were measured on an NVIDIA GTX 470. Figure2 shows the quality and performance for secondary rays. Note that higher error due to the higher approximation is clearly visible in the reconstruction with primary rays (Figure1), but it is hardly noticeable when tracing for secondary rays (Figure2).
References
[AL09]A ILA T., LAINE S.: Understanding the efficiency of ray traversal on GPUs. In Proc. of High Performance Graphics (2009), pp. 145–149.1,2,3
c 2012 The Author(s) Computer Graphics Forum c 2012 The Eurographics Association and Blackwell Publish- ing Ltd. Published by Blackwell Publishing, 9600 Garsington Road, Oxford OX4 2DQ, UK and 350 Main Street, Malden, MA 02148, USA. Jan Novák & Carsten Dachsbacher / Rasterized Bounding Volume Hierarchies
ρs = 2M ρs =1M ρs = 512 k ρs = 128 k ρs = 32 k Reference Q0 ( α = 0.85) Q1 ( α = 0.80) Q2 ( α = 0.75 ) Q3 ( α = 0.70 ) Q4 ( α = 0.65) 137.2 111.6 139.8 169.4 229.4 287.2 Dragon
144.6 147.5 183.9 226.2 307.2 386.4 Happy Buddha
123.2 121.2 148.8 177.6 232.2 282.8 Children Beast
120.4 131.9 163.1 195.4 256.0 298.3 85.9 158.5 190.2 216.1 263.7 304.4 Asian Dragon
122.9 197.4 250.5 302.7 375.4 454.6 Thai Statue
ρs = 2M ρs =1M ρs = 512 k ρs = 128 k ρs = 32 k Reference Q0 ( ϕ = 45°) Q1 ( ϕ = 50°) Q2 ( ϕ = 55° ) Q3 ( ϕ = 60° ) Q4 ( ϕ = 65° ) Hand
178.7 145.3 176.6 209.9 266.0 300.0
Figure 1: Quality and performance of individual RBVH configurations for tracing primary rays. All scenes, except for the Hand, have been constructed using the less restrictive projected surface area. ρs is the pixel-to-scene sampling density, from which we compute the pixel-to-area by simply dividing ρs by the area of the scene. α is the ratio of projected surface area to the total area, and ϕ is the opening angle of the cone of normals. The sampling density and the refinement criterion is shown in brackets next to the level of quality. The left most column consists of references ray traced using the BVH from [AL09]. Numbers in the corners report ray tracing performance in million rays per second.
c 2012 The Author(s) c 2012 The Eurographics Association and Blackwell Publishing Ltd. Jan Novák & Carsten Dachsbacher / Rasterized Bounding Volume Hierarchies
ρs = 2M ρs =1M ρs = 512 k ρs = 128 k ρs = 32 k Reference Q0 ( α = 0.85) Q1 ( α = 0.80) Q2 ( α = 0.75 ) Q3 ( α = 0.70 ) Q4 ( α = 0.65) 38.2 20.7 21.7 27.6 38.7 53.3 Dragon
37.2 21.7 24.9 30.5 41.4 54.6 Happy Buddha
36.1 21.2 23.6 28.1 39.1 51.0 Children Beast
37.8 20.7 23.3 27.8 37.9 47.4 36.7 23.0 25.6 30.1 40.1 51.3 Asian Dragon
32.9 30.7 35.5 41.9 51.7 59.9 Thai Statue
ρs = 2M ρs =1M ρs = 512 k ρs = 128 k ρs = 32 k Reference Q0 ( ϕ = 45°) Q1 ( ϕ = 50°) Q2 ( ϕ = 55° ) Q3 ( ϕ = 60° ) Q4 ( ϕ = 65° ) Hand
55.9 32.5 37.1 44.3 56.6 69.1
Figure 2: Quality and performance of individual RBVH configurations for tracing secondary (diffuse) rays. All scenes, except for the Hand, have been constructed using the less restrictive projected surface area. ρs is the pixel-to-scene sampling density, from which we compute the pixel-to-area by simply dividing ρs by the area of the scene. α is the ratio of projected surface area to the total area, and ϕ is the opening angle of the cone of normals. The sampling density and the refinement criterion is shown in brackets next to the level of quality. The left most column contains references ray traced using the BVH from [AL09]. Numbers in the corners report ray tracing performance in million rays per second. c 2012 The Author(s) c 2012 The Eurographics Association and Blackwell Publishing Ltd.