Insights into Multi-View Imaging System Optimization

 
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August 2021
 
 
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Simulator calibration on real
data with 
gradient-based
optimization
For now, only fitting for the
normals
Target positions extracted
with k-means clustering
Imaged point source perfectly
matches the target for all
mirrors (MSE loss is zero)
 
3
 
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Perfect matching 
in those preliminary results that do not take into
account:
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Object offset
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Mirror offsets
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L
ens & sensor offsets (orientations & positions)
This suggest that multiple solutions co-exist
 
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Multiple
 
solutions co-exist, 
and yet…
 
 
 
 
 
 
 
 
 
… running the optimization algorithm with different initializations always
yields the same results
Mirror 1
Mirror 2
Mirror 18
Worse results
 
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What are the errors?
 
 
 
 
 
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The point source is still imaged within ~1pixel
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Delve into the simulation and calibration of a multi-view imaging system using differentiable ray tracing and gradient-based optimization. Explore the challenges of ambiguity in results and the impact of angular offset on imaging accuracy. Discover how the system handles errors and maintains precise imaging of point sources.

  • Multi-view imaging
  • Optimization
  • Ray tracing
  • Calibration
  • Ambiguity

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  1. Simulation of the multi-view imaging system with differentiable ray tracing August 2021

  2. Gradient-based calibration Simulator calibration on real data with gradient-based optimization For now, only fitting for the normals Target positions extracted with k-means clustering Imaged point source perfectly matches the target for all mirrors (MSE loss is zero) 2

  3. Ambiguity (1) Perfect matching in those preliminary results that do not take into account: - Object offset - Mirror offsets - Lens & sensor offsets (orientations & positions) This suggest that multiple solutions co-exist 3

  4. Ambiguity (2) Multiple solutions co-exist, and yet Worse results Mirror 1 Mirror 2 Mirror 18 running the optimization algorithm with different initializations always yields the same results 4

  5. Angular offset What are the errors? Let me nuance my previous analyses on tolerances Beyond 1.1 degree, the principal rays do not make it though the numerical aperture (f-number= ? 1.4) but other rays do Same analysis but with (f- number= f) 5

  6. Circle of confusion The point source is still imaged within ~1pixel 6

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