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It is not uncommon for production scenes to rely heavily on geo area lights. In this test we will compare Geo Light geo light sampling technology in 3Delight OSL, Arnold and RenderMan/RIS. We will use a test with a geometric area light that is composed of a relatively large number of faces. The test, although limited, should allow us to find the convergence rate of each algorithm as well as general performance.

The Scene

The test scene allows for procedural generation of floating area lights using the "Tubes Per Step" PaintEffects attribute.

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The scene is designed to procedurally generate a number of area lights floating on top of a "city".  

  • Only diffuse reflectors. The original test scene had a diffuse+specular surface but that generated a considerable amount of additional noise in Arnold. Since we want to concentrate on light sampling here, we decided to go for a simpler setup.
  • We will disable any adaptive sampling so to make sure we have very close raymeaningful  ray-counts.
  • We will use only direct lighting to estimate the geometric area light contribution. In the statistics files for each renderer, one can see that we have only one path length.
  • The light sources contain about 80K triangles.
  • All Renders are done in Maya 2016.

The Renderers

Info

RenderMan/RIS 21 is about to be released with new sampling technology. We will complete the test as soon as the renderer is available.




ArnoldRenderMan/RIS3Delight OSL
Version




TechnologyUnidirectional path tracer.Using unidirectional path tracer. Other options are available but not useful for this test.Unidirectional path tracer.
ShadersC++C++OSL

Methodology

We are interested to find out about:

  • The quality of the geo light samples drawn by each renderer. How fast do we converge to ground truth by increasing the number of samples ?
  • Performance. How fast is the sampler to produce an image of a given quality ?

We will start by creating a "ground truth" image for each renderer. This image is ; an image generated by using a very large amount of samples so there is no more apparent noise. We . Although it is normal for images generated by each renderer to vary slightly, encouragingly, images produced by both 3Delight and Arnold are almost exactly the same.  We will then render several images with varying amount of samples and measure the RMSE between these images and the ground truth for each renderer. Timings and statistics will be taken collected at each render. Having this data will allow us to draw a conclusion about the convergence rate and general performance.

The Setup

We use a 1x1 pixel sample in all renderers. Adaptivity is disabled as well as all additional bounces. In Arnold, the light samples are attributes of the geometry. In RenderMan/RIS the light samples are attributes of a custom shape. In 3Delight, the light attributes are on Maya's area light. 

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Info

Admittedly, those are not standard settings for any useful render. The goal here is to isolate one algorithm in order to understand its behaviour. Understanding an algorithm can shed light on its strengths and weaknesses and allows us to draw interesting conclusions for the more general case.





ArnoldRenderMan/RIS3Delight OSL
General Parameters

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Geo Light Parameters

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Notes

Arnold — For light samples, Arnold uses effective sample counts that are proportional – within a constant –  to – to the square of the user specified value.  As we will see, this makes  sense from a UI standpoint since the variance follows the inverse of the same rule in the case of Arnold. This makes the light samples slider linear in term of perceived noise. In the Arnold tables below, we will specify the effective samples per pixel along with the user samples. Those effective samples are gathered from Arnold's diagnostics files.

RenderMan – We had troubles extracting consistent quality from RenderMan/RIS. In Arnold and 3Delight, light samples are the single "go to" parameter to  – While in Arnold the light samples effectively control image quality when only direct lighting is considered. In needed, in RenderMan/RIS, we had to match light sample samples count with BxDF sample samples count to achieve acceptable quality and satisfactory convergence rates. Using light samples only (samples only, or BxDF samples only) produced slowly convergent samples only, produced noisy renders.  In the RenderMan tables /RIS results below, "N samples" means N samples for both light and BxDF.   We did all the test tests with the "advanced (mode 4)" light sampler —  other samplers did not provide acceptable results for this test casesince it produced the best results. The samples used by the renderer are the ones entered in the UI and are not squared as in Arnold. Note that we used the path tracer with once one bounce instead if of the "direct lighting" algorithm since the latest would crash once in a while. for one of the images because of a crash (quality and speed did not  seem to suffer although there were some minor differences in the render). 

3Delight – 3Delight – We have only one control for the general quality of the render. In the case of direct lighting, 3Delight "understands" that samples are best used for light sampling and that's what it does. As the tests will show, those samples have a linear impact on perceived noise levels.

Results

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Arnold

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3.26 M

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3Delight

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3.13 M

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RenderMan/RIS

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97s

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1.47 M

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2.94 M

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11.7 M

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The following graph gives a good idea on the convergence rate of the different light samplers

Chart
width800
domainAxisUpperBound300
titleRMSE vs. RAYS
typexyLine
yLabelRMSE
domainAxisLowerBound0
xLabelMillion Rays



Rays2.453.134.517.2712.7823.845.8890.1
3Delight0.09331420.06582660.04412480.02904390.01855750.01175660.00752546

0.00449892



Rays0.6783.2610.816.9443.4173.6694.5
Arnold0.156990.1001150.05017870.03963990.02425150.01174130.00693426



Rays1.472.945.8811.721.147.0294.14376.3751.3
RenderMan/RIS0.1511250.1214870.09536490.07281480.05206060.03738760.02653880.01381480.00854045



The following

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graph shows the time required to achieve a certain quality. From

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user's perspective, this is an important quantity.

Chart
width
600
800
titleRMSE vs. TIME
typexyLine
yLabelRMSE
xLabelTime (seconds)
Time5.
72s
24
8
7.18
12
11.
82
21
22
20.
18
68
40
35.
92
86
86
69.
91
48
165
134.
69
18
302
265.
98
05
3Delight0.09331420.06582660.04412480.02904390.01855750.01175660.00752546

0.00449892

Time12692181492
Arnold0.156990.1001150.05017870.03963990.02425150.01174130.00693426
Time6.747.237.999.4218.5129.4098.08383.39
RenderMan/RIS0.1511250.1214870.09536490.07281480.0373876


0.02653880.01381480.00854045
The following

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graph shows how much time it takes

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to build the

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acceleration data structure depending on sample/ray count.

Chart
width800
domainAxisUpperBound300
titleTime to First Pixel vs.
Samples
Rays
typexyLine
yLabelTime to First Pixel (seconds)
domainAxisLowerBound0
rangeAxisUpperBound50
xLabelMillion Rays
Rays2.453.134.517.2712.7823.845.8890.1
3Delight2222222

2

Rays0.6783.2610.843.4173.6694.5
Arnold00.351.23.21141
Rays1.472.945.8811.747.0294.14376.3751.3
RenderMan33.244.7915.551.297

Arnold

*TTFP = Time to first pixel.

Samples (effective)2 (1.23)4 (4.91)8 (19.64)10 (30)16 (78.56)32 (314.29)64 (1257.18)
Image
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Time1 sec.2 sec.6 sec.9 sec.21 sec.81 sec.492 sec.
TTFP*0 sec.0.35 sec.1.2 sec.2.0 sec.3.2 sec.11 sec.41 sec.
Shadow Rays0.678 M

3.26 M

10.8 M16.94 M43.4 M173.6 M694.5 M
RMSE0.156990.1001150.05017870.03963990.02425150.01174130.00693426

3Delight

Samples248163264128256
Image

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Time5.24 sec.7.18 sec.11.21 sec.20.68 sec.35.86 sec.69.48 sec.134.18 sec.265.05 sec.
TTFP2 sec.2 sec.2 sec.2 sec.2 sec.2 sec.2 sec.2 sec.
Shadow Rays2.45 M

3.13 M

4.51 M7.27 M12.78 M23.8 M45.88 M90.1 M
RMSE0.09331420.06582660.04412480.02904390.01855750.01175660.007525460.00449892



RenderMan/RIS


Samples12481632642565121024
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Time6.74 sec.7.23 sec.7.99 sec.9.42 sec.12.12 sec.18.51 sec.29.40 sec.98.08 sec.195.77 sec.6:23.39 min:sec.
TTFP3.1 sec.3.2 sec.4 sec.4.7 sec.6.7 sec.9 sec.15.5 sec.51.2 sec.

97 sec.



Rays

1.47 M

2.94 M

5.88 M

11.7 M

21.1M47.02 M94.14 M376.3 M751.3 M1499 M
RMSE0.1511250.1214870.09536490.07281480.05206060.03738760.02653880.01381480.008540450.00396



Conclusions

  • 3Delight generates light samples that are algorithmically better than (in term of variance) than both Arnold and RenderMan. In short, for N x effective samples:
    1. 3Delight Variance ~ 1/Nx
    2. Arnold Variance ~ 1/sqrt(Nx)
    3. RenderMan/RIS Variance ~ 1/sqrt(N(x) (possibly slightly worse but could be within a constant)

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  • 3Delight is slower to generate these samples. Meaning that for For draft renders (high variance) renders Arnold and RenderMan/RIS are faster, Arnold is fastest. For final renders (low variance) 3Delight is fastest and becomes increasingly faster with increasing samples.
  • Arnold and RenderMan/RIS draw samples at about the same speed, but the quality of Arnold samples is better. 
  • Both Arnold and RenderMan/RIS produce biased images at low sample counts. More specifically: images are darker. This explains higher RMSE with low sample counts. 3Delight manages to keep the same energy overall independent on independently of sample counts.
  • Arnold, 3Delight and RenderMan/RIS rely on acceleration data structures to sample the geometric area lights. In Arnold and RenderMan/RIS, the algorithmic complexity to build those data structures is tied – linearly, as the graph shows –  to linearly to the number of samples (as well as the complexity of the light). In 3Delight, only to the complexity of the light matters (time to first pixel for 3Delight was 2-3 seconds no matter how many samples there arewere).  



Resources



RenderMan/RISArnold3Delight
Images and Statsarnold.tar.gz3delight.tar.gz
Maya Scenemal_prman.mamal_3delight.ma
Remarks
The same scene works with both 3Delight and Arnold