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A fresnel lens rendered using the PxrVCM integrator and Trace Light Paths on for the textured area light.

 

PxrVCM is a core final-quality integrator in RenderMan. It combines bidirectional path tracing with progressive photon mapping (also known as vertex merging). Each of these techniques brings the ability to capture a certain range of light transport paths more efficiently than a pure forward path tracing algorithm:

  • Bidirectional path tracing can converge faster than forward path tracing for interior scenes or scenes with significant indirect illumination. In particular, when forward path tracing can't easily find an indirect path to the dominant light source, bidirectional path tracing can help – especially if the dominant light source is "one bounce" away from illuminating the scene. It also offers the possibility of faster indirect lighting in general because bidirectional path tracing can make multiple connections between a light path and an eye path and reuse shader evaluations. (A forward path tracer has to run a shader at every bounce, and therefore cannot reuse shader evaluations.) Note that this benefit is more pronounced if your pattern evaluations are expensive; Bxdfs without pattern inputs will not benefit from this.
  • Progressive photon mapping converges faster for specular-diffuse-specular lighting (reflections or refractions of caustics), especially when dealing with relatively small light sources.

These sampling techniques are combined along with direct lighting (connecting an eye vertex directly to a light source) using multiple importance sampling in such a way that the combined algorithm is substantially more robust and converges faster across a wide range of shots than simply using any one technique by itself.

The PxrVCM integrator in its default mode of operation enables all of these techniques, but should the need present itself, can also operate as a pure bidirectional path tracer, a pure unidirectional path tracer, or even use pure progressive photon mapping by disabling connecting and/or merging via the connectPaths and mergePaths parameters.

 

The images above show a box illuminated by a small light source inside a wall sconce. Because the sconce blocks much of the direct light, most of the illumination in this scene is indirect. Equal-time renders: The image on the left is rendered with only forward path tracing (mergePaths=0, connectPaths=0) with 2048 samples per pixel. The image on the right is rendered with bidirectional path tracing (connectPaths=1, mergePaths=0) with 600 samples per pixel.

 

The left skull image was rendered using only forward path tracing (connectPaths=0, mergePaths=0) with 512 samples per pixel. Caustics are very noisy, and many fireflies are present due to the difficult to integrate lighting caused by the highly specular metallic skull. The right images was rendered using the full vertex connecting and merging algorithm (connectPaths=1, mergePaths=1) with 512 samples per pixel. Fireflies are almost nonexistent, and caustics are much better resolved.


The two images above show PxrVCM images of some interesting caustics. The left image shows a glass lens bisected by a matte plane, and a perpendicular matte plane on the right. The light from the small light source is refracted by the lens, creating an elongated caustic on the matte surfaces. In the right image the lens is replaced by a glass sphere.

For direct illumination, PxrVCM looks at the values of the numLightSamples and numBxdfSamples parameters in order to determine the number of light vs. Bxdf direct illumination samples. For lowest noise numLightSamples and numBxdfSamples should be set to the same value. Direct illumination sample reduction at deeper ray depth and/or lower throughput is enabled by default and the scheme used can be controlled with the reduceDirectSamples parameter.

PxrVCM enforces multiple scattering in volumes; bidirectional path tracing in particular is well suited for multiple scattering in volumes. However, PxrVCM does not currently support volumetric photons; as a result, effects such as volumetric caustics may be slow to converge. For these effects you should use the PxrUPBP integrator with homogeneous volumes (heterogeneous volumes are not currently supported in PxrUPBP).

There are several important differences to note between this integrator and PxrPathTracer:

  • PxrVCM does not explicitly support the ability to globally turn off caustic light paths (like PxrPathTracer does). However, by default your scene may render the same as if using PxrPathTracer. This is because lights control the tracing of these rays using the Trace Light Paths parameter which is off by default. You should selectively turn on this feature to produce the effects you need visually rather than having them all on which may prove costly and be more difficult to art direct. (LPEs can be used to remove caustic paths in PxrVCM but the calculation is still performed.) 
  • PxrVCM is less forgiving for having different numLightSamples than numBxdfSamples than PxrPathTracer. These two parameters should (nearly) always be set to the same value -- otherwise, unnecessary noise can appear.
  • Due to the nature of bidirectional path tracing, PxrVCM does not expose any controls over the indirect ray sample count; all vertices generate at most one indirect ray.
  • Rendering a crop window may result in a different quality render than a full frame render. This is because light paths are generated per-pixel and stored in a photon map. When rendering a smaller region, fewer photons are saved as a side-effect. In theory all the light paths could be generated but the impact on performance would begin to erode the benefit of rendering a small region of the final image.

For more information, please consult the relevant papers:

Parameters

ParameterDescription
connectPaths

Controls whether "vertex connection" is employed. The power of bidirectional path tracing over forward path tracing is in the ability to repeatedly reuse indirect contributions down the full combined path by making repeated connections between the eye and light paths, leading to faster convergence for interior scenes with significant indirect illumination. Set this parameter to either 0 (vertex connection off) or 1 (vertex connection on). By default, vertex connection is enabled.

With no vertex merging, but with path connection enabled, VCM acts only as a bidirectional path tracer. 

mergePaths

Controls whether "vertex merging" is employed. Vertex merging enables a variant of progressive photon mapping, which converges faster than path tracing for specular-diffuse-specular (caustic) lighting. Enabling vertex merging is generally recommended but does result in additional time and memory overhead for photons, and may be unnecessary in scenes with little specular-diffuse-specular transport. Set this parameter to either 0 (vertex merging off) or 1 (vertex merging on). By default, vertex merging is enabled. Note that photon generation requires the incremental flag be turned on for the Hider; the photons generated in the current iteration are used as the photon map for the next iteration.

With vertex merging enabled and vertex connection disabled, VCM implements a variant of bidirectional progressive photon mapping; this mode is generally not recommended as it does not make direct connections between the eye vertex and the light, and as a consequence usually has slower convergence for direct lighting than all other modes.

With both vertex merging and vertex connection disabled, VCM acts only as a forward, unidirectional path tracer (no light paths are generated).

 

mergeRadiusSpecifies the radius used in vertex merging. It is measured in screen space pixels (not world space). Increasing this radius will blur the influence of a photon over a wider region, which may be helpful in reducing noisy caustics. However, increasing the radius will also slow down merging and increase the initial bias of progressive photon mapping, requiring more iterations to arrive at a bias-free result. The default value of 5.0 significantly reduces noise at the cost of some initial bias which decreases with more samples. Should these bias artifacts be objectionable when using low numbers of samples, decreasing the mergeRadius will reduce these artifacts at the expense of more noise.
timeRadiusSpecifies the maximum difference in time, measured as a fraction of the shutter interval, over which photons are merged. By default, the timeRadius is 1.0: eye vertices can be merged with photons emitted at any time. This may lead to inaccurate results (i.e. smearing in time) for caustics from moving objects. Setting the timeRadius to a smaller value tightens the search radius in time for mergeable photons, leading to better results for motion blurred caustics, at the cost of static objects requiring more photons in order to resolve caustics.
maxPathLengthControls the maximum length of a combined light and eye path, including the connection rays. For example, a value of 4 will permit up to 3 bounces of global illumination. A value of 1 for this parameter will allow direct illumination only, which means that no light paths will be generated (since eye path vertices are always directly connected to the light source). The default value of this parameter is 10.
numLightSamplesControls the number of light samples for direct illumination per vertex on the eye path. The default is 1. For lowest noise numLightSamples and numBxdfSamples should be set to the same value.
numBxdfSamplesControls the number of Bxdf samples for direct illumination per vertex on the eye path. The default is 1. For lowest noise numLightSamples and numBxdfSamples should be set to the same value.
rouletteDepthControls the path length at which the integrator begins performing Russian roulette in order to reduce overall path length. The default is 4. Note that Russian roulette is applied separately to both the eye and the light paths.
rouletteThresholdControls the path throughput threshold below which to begin performing Russian roulette. The default is 0.2. Increasing the threshold will lead to a reduction in path length, which will lead to an overall increase in speed at the expense of higher noise.
clampDepthIf a value for the clampLuminance parameter is specified, then clampDepth controls the ray depth at which to begin clamping based on the per-ray luminance. For example, setting this parameter to 2 and also specifying a value of 4 for clampLuminance will ensure that the luminance of each ray's contribution is no more than 4 for all indirect illumination, without affecting or clamping the direct illumination. The default is 2.
clampLuminanceBy default the PxrVCM integrator clamps the luminance computed by any technique on any vertex to be at most 10.0. However, it is possible to change this behavior by specifying a different value for the clampLuminance parameter. Specifying a relatively low value for the clampLuminance parameter (for example, between 2 and 20) can greatly speed up convergence. In some cases, indirect illumination lights paths may be noticeably dimmer due to clamping; this may be an acceptable trade-off in certain cases. Setting this parameter to a very large number (such as 1e30) will effectively disable all clamping. The default is 10.0.
photonGuidingSets the probability of using photon guiding during photon emission. A value of 0.0 means no photon guiding. Values between 0.0 and 1.0 cause a combination of photon guiding and standard photon emission. Finally, a value of 1.0 means that all photons are guided – which may result in biased images. The default value is 0.0.

photonGuidingBBoxMin

photonGuidingBBoxMax

These two values can be used to explicitly specify the bounding box (in world-space coordinates) that photons should be emitted toward. I this bounding box is not specified, one will be computed automatically as a slightly (loose) bounding box of the directly visible parts of the scene. The default value for photonGuidingBBoxMin is (1e30, 1e30, 1e30) and for photonGuidingBBoxMax is (-1e30, -1e30, -1e30).

 

Standard AOVs

On top of regular LPE-based AOVs, this integrator outputs a number of standard AOVs typically used by compositors.

DeclarationContentsChannels
color __PworldP in world-space
__Pworld.r : x component
__Pworld.g : y component
__Pworld.b : z component
color __NworldNn in world-space
__Nworld.r : x component
__Nworld.g : y component
__Nworld.b : z component
color __depthMulti-purpose AOV
__depth.r : depth from camera in world-space
__depth.g : height in world-space
__depth.b : geometric facing ratio : abs(Nn.V)
color __stTexture coords
__st.x : s
__st.y : t
__st.z : 0.0
color __PrefReference Position primvar (if available)
__Pref.r : x component
__Pref.g : y component
__Pref.b : z component
color __NrefReference Normal primvar (if available)
__Nref.r : x component
__Nref.g : y component
__Nref.b : z component
color __WPrefReference World Position primvar (if available)
__WPref.r : x component
__WPref.g : y component
__WPref.b : z component
color __WNrefReference World Normal primvar (if available)
__WNref.r : x component
__WNref.g : y component
__WNref.b : z component