Images

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As converged as available
Similar time
Similar variance
TTUV visualization
RSE visualization
Density 1
Density 3
Density 10
Density 30
Density 100
1: VPT (Reference)
2: VPT+ST (Ours [greedy])
3: VPT+ST (Ours [conservative])
VPT (Reference)VPT+ST (Ours [greedy])VPT+ST (Ours [conservative])
1: VPT (Reference)
2: VPT+ST (Ours [greedy])
3: VPT+ST (Ours [conservative])
VPT (Reference)VPT+ST (Ours [greedy])VPT+ST (Ours [conservative])
1: VPT (Reference)
2: VPT+ST (Ours [greedy])
3: VPT+ST (Ours [conservative])
VPT (Reference)VPT+ST (Ours [greedy])VPT+ST (Ours [conservative])
1: VPT (Reference)
2: VPT+ST (Ours [greedy])
3: VPT+ST (Ours [conservative])
VPT (Reference)VPT+ST (Ours [greedy])VPT+ST (Ours [conservative])
1: VPT (Reference)
2: VPT+ST (Ours [greedy])
3: VPT+ST (Ours [conservative])
VPT (Reference)VPT+ST (Ours [greedy])VPT+ST (Ours [conservative])
Density 1
Density 3
Density 10
Density 30
Density 100
1: VPT (Reference)
2: VPT+ST (Ours [greedy])
3: VPT+ST (Ours [conservative])
VPT (Reference)VPT+ST (Ours [greedy])VPT+ST (Ours [conservative])
1: VPT (Reference)
2: VPT+ST (Ours [greedy])
3: VPT+ST (Ours [conservative])
VPT (Reference)VPT+ST (Ours [greedy])VPT+ST (Ours [conservative])
1: VPT (Reference)
2: VPT+ST (Ours [greedy])
3: VPT+ST (Ours [conservative])
VPT (Reference)VPT+ST (Ours [greedy])VPT+ST (Ours [conservative])
1: VPT (Reference)
2: VPT+ST (Ours [greedy])
3: VPT+ST (Ours [conservative])
VPT (Reference)VPT+ST (Ours [greedy])VPT+ST (Ours [conservative])
1: VPT (Reference)
2: VPT+ST (Ours [greedy])
3: VPT+ST (Ours [conservative])
VPT (Reference)VPT+ST (Ours [greedy])VPT+ST (Ours [conservative])
Density 1
Density 3
Density 10
Density 30
Density 100
1: VPT (Reference)
2: VPT+ST (Ours [greedy])
3: VPT+ST (Ours [conservative])
VPT (Reference)VPT+ST (Ours [greedy])VPT+ST (Ours [conservative])
1: VPT (Reference)
2: VPT+ST (Ours [greedy])
3: VPT+ST (Ours [conservative])
VPT (Reference)VPT+ST (Ours [greedy])VPT+ST (Ours [conservative])
1: VPT (Reference)
2: VPT+ST (Ours [greedy])
3: VPT+ST (Ours [conservative])
VPT (Reference)VPT+ST (Ours [greedy])VPT+ST (Ours [conservative])
1: VPT (Reference)
2: VPT+ST (Ours [greedy])
3: VPT+ST (Ours [conservative])
VPT (Reference)VPT+ST (Ours [greedy])VPT+ST (Ours [conservative])
1: VPT (Reference)
2: VPT+ST (Ours [greedy])
3: VPT+ST (Ours [conservative])
VPT (Reference)VPT+ST (Ours [greedy])VPT+ST (Ours [conservative])
Density 1
Density 3
Density 10
Density 30
Density 100
1: VPT (Reference)
2: VPT+ST (Ours [greedy])
3: VPT+ST (Ours [conservative])
VPT (Reference)VPT+ST (Ours [greedy])VPT+ST (Ours [conservative])
1: VPT (Reference)
2: VPT+ST (Ours [greedy])
3: VPT+ST (Ours [conservative])
VPT (Reference)VPT+ST (Ours [greedy])VPT+ST (Ours [conservative])
1: VPT (Reference)
2: VPT+ST (Ours [greedy])
3: VPT+ST (Ours [conservative])
VPT (Reference)VPT+ST (Ours [greedy])VPT+ST (Ours [conservative])
1: VPT (Reference)
2: VPT+ST (Ours [greedy])
3: VPT+ST (Ours [conservative])
VPT (Reference)VPT+ST (Ours [greedy])VPT+ST (Ours [conservative])
1: VPT (Reference)
2: VPT+ST (Ours [greedy])
3: VPT+ST (Ours [conservative])
VPT (Reference)VPT+ST (Ours [greedy])VPT+ST (Ours [conservative])
Density 1
Density 3
Density 10
Density 30
Density 100
1: VPT (Reference)
2: VPT+ST (Ours [greedy])
3: VPT+ST (Ours [conservative])
VPT (Reference)VPT+ST (Ours [greedy])VPT+ST (Ours [conservative])
1: VPT (Reference)
2: VPT+ST (Ours [greedy])
3: VPT+ST (Ours [conservative])
VPT (Reference)VPT+ST (Ours [greedy])VPT+ST (Ours [conservative])
1: VPT (Reference)
2: VPT+ST (Ours [greedy])
3: VPT+ST (Ours [conservative])
VPT (Reference)VPT+ST (Ours [greedy])VPT+ST (Ours [conservative])
1: VPT (Reference)
2: VPT+ST (Ours [greedy])
3: VPT+ST (Ours [conservative])
VPT (Reference)VPT+ST (Ours [greedy])VPT+ST (Ours [conservative])
1: VPT (Reference)
2: VPT+ST (Ours [greedy])
3: VPT+ST (Ours [conservative])
VPT (Reference)VPT+ST (Ours [greedy])VPT+ST (Ours [conservative])

Charts

In the following charts we compare time to unit variance (TTUV, render speed), the mean relative squared error (MRSE), and an estimate of the absolute bias. We compute the latter by subtracting a variance estimate of both images from the mean squared error (MSE) and then taking the square root.
TTUV (core hrs)
MRSE
Absolute bias

Statistics

As converged as available (Density 1)
MetricVPT (Reference)VPT+ST (Ours [greedy])VPT+ST (Ours [conservative])
TTUV (core hrs)0.000058000.000049700.00005990
Absolute time (core hrs)162.2132.3167.5
Variance3.576e-73.757e-73.576e-7
MRSE0.0000.00047604.950e-7
Absolute bias0.0000.0030100.000
As converged as available (Density 3)
MetricVPT (Reference)VPT+ST (Ours [greedy])VPT+ST (Ours [conservative])
TTUV (core hrs)0.000082100.000058700.00007460
Absolute time (core hrs)205.6140.0183.0
Variance3.993e-74.193e-74.077e-7
MRSE0.0000.00017100.000005940
Absolute bias0.0000.0019400.0003170
As converged as available (Density 10)
MetricVPT (Reference)VPT+ST (Ours [greedy])VPT+ST (Ours [conservative])
TTUV (core hrs)0.00013900.000078400.00009630
Absolute time (core hrs)283.6148.8183.5
Variance4.901e-75.269e-75.248e-7
MRSE0.0000.000079300.00002200
Absolute bias0.0000.0015200.0007730
As converged as available (Density 30)
MetricVPT (Reference)VPT+ST (Ours [greedy])VPT+ST (Ours [conservative])
TTUV (core hrs)0.00026600.000096800.0001150
Absolute time (core hrs)427.2153.8182.1
Variance6.227e-76.294e-76.315e-7
MRSE0.0000.000048100.00002420
Absolute bias0.0000.0012400.0008530
As converged as available (Density 100)
MetricVPT (Reference)VPT+ST (Ours [greedy])VPT+ST (Ours [conservative])
TTUV (core hrs)0.00053200.00010700.0001200
Absolute time (core hrs)888.5154.7173.2
Variance5.988e-76.917e-76.928e-7
MRSE0.0000.000034600.00002280
Absolute bias0.0000.0010900.0007840
Similar time (Density 1)
MetricVPT (Reference)VPT+ST (Ours [greedy])VPT+ST (Ours [conservative])
TTUV (core hrs)0.000058000.000049700.00005990
Absolute time (core hrs)127.0132.3124.0
Variance4.567e-73.757e-74.831e-7
MRSE0.0000.00047606.390e-7
Absolute bias0.0000.0030100.000
Similar time (Density 3)
MetricVPT (Reference)VPT+ST (Ours [greedy])VPT+ST (Ours [conservative])
TTUV (core hrs)0.000082100.000058700.00007460
Absolute time (core hrs)138.4140.0136.3
Variance5.932e-74.193e-75.473e-7
MRSE0.0000.00017100.000006100
Absolute bias0.0000.0019400.0003170
Similar time (Density 10)
MetricVPT (Reference)VPT+ST (Ours [greedy])VPT+ST (Ours [conservative])
TTUV (core hrs)0.00013900.000078400.00009630
Absolute time (core hrs)143.0148.8145.9
Variance9.720e-75.269e-76.600e-7
MRSE0.0000.000079300.00002220
Absolute bias0.0000.0015200.0007760
Similar time (Density 30)
MetricVPT (Reference)VPT+ST (Ours [greedy])VPT+ST (Ours [conservative])
TTUV (core hrs)0.00026600.000096800.0001150
Absolute time (core hrs)148.3153.8145.7
Variance0.0000017946.294e-77.893e-7
MRSE0.0000.000048100.00002430
Absolute bias0.0000.0012400.0008500
Similar time (Density 100)
MetricVPT (Reference)VPT+ST (Ours [greedy])VPT+ST (Ours [conservative])
TTUV (core hrs)0.00053200.00010700.0001200
Absolute time (core hrs)126.2154.7147.1
Variance0.0000042166.917e-78.158e-7
MRSE0.0000.000034600.00002290
Absolute bias0.0000.0010900.0007830
Similar variance (Density 1)
MetricVPT (Reference)VPT+ST (Ours [greedy])VPT+ST (Ours [conservative])
TTUV (core hrs)0.000058000.000049700.00005990
Absolute time (core hrs)162.2132.3167.5
Variance3.576e-73.757e-73.576e-7
MRSE0.0000.00047604.950e-7
Absolute bias0.0000.0030100.000
Similar variance (Density 3)
MetricVPT (Reference)VPT+ST (Ours [greedy])VPT+ST (Ours [conservative])
TTUV (core hrs)0.000082100.000058700.00007460
Absolute time (core hrs)205.6140.0183.0
Variance3.993e-74.193e-74.077e-7
MRSE0.0000.00017100.000005940
Absolute bias0.0000.0019400.0003170
Similar variance (Density 10)
MetricVPT (Reference)VPT+ST (Ours [greedy])VPT+ST (Ours [conservative])
TTUV (core hrs)0.00013900.000078400.00009630
Absolute time (core hrs)269.8148.8183.5
Variance5.152e-75.269e-75.248e-7
MRSE0.0000.000079300.00002200
Absolute bias0.0000.0015200.0007730
Similar variance (Density 30)
MetricVPT (Reference)VPT+ST (Ours [greedy])VPT+ST (Ours [conservative])
TTUV (core hrs)0.00026600.000096800.0001150
Absolute time (core hrs)428.0153.8182.1
Variance6.215e-76.294e-76.315e-7
MRSE0.0000.000048100.00002420
Absolute bias0.0000.0012400.0008530
Similar variance (Density 100)
MetricVPT (Reference)VPT+ST (Ours [greedy])VPT+ST (Ours [conservative])
TTUV (core hrs)0.00053200.00010700.0001200
Absolute time (core hrs)802.5154.7173.2
Variance6.629e-76.917e-76.928e-7
MRSE0.0000.000034600.00002280
Absolute bias0.0000.0010900.0007840