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Sample Drift Correction Following 4D Confocal Time-lapse Imaging
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Published on: April 12, 2014

Pushing the envelope of modern methods for bundle adjustment.

Yekeun Jeong1, David Nistér, Drew Steedly

  • 1Microsoft Corporation, Redmond, WA 98052-6399, USA. yejeong@microsoft.com

IEEE Transactions on Pattern Analysis and Machine Intelligence
|June 30, 2012
PubMed
Summary

We developed the fastest bundle adjustment methods for computer vision, leveraging block-sparse patterns for computational efficiency. Novel embedded point iterations further accelerate convergence, improving 3D reconstruction accuracy.

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Area of Science:

  • Computer Vision
  • Robotics
  • Computational Geometry

Background:

  • Bundle adjustment is crucial for optimizing 3D scene reconstructions.
  • Existing methods face computational bottlenecks, limiting scalability.
  • Efficiently handling sparse structures is key to performance.

Purpose of the Study:

  • To present novel, highly efficient bundle adjustment algorithms.
  • To demonstrate superior computational speed and convergence rates.
  • To improve the accuracy and speed of 3D scene reconstruction.

Main Methods:

  • Exploiting block-sparse patterns in reduced camera systems.
  • Implementing optimized linear algebra (BLAS3) and sparse solvers.
  • Utilizing exact minimum degree ordering with block-based LDL decomposition.
  • Employing block-based preconditioned conjugate gradients.
  • Introducing embedded point iterations within camera update steps.

Main Results:

  • Achieved the fastest bundle adjustment computation and convergence published.
  • Demonstrated significant performance improvements over previous methods.
  • Validated enhanced speed and accuracy through extensive experiments.
  • Showcased the effectiveness of block-sparsity adaptation and embedded iterations.

Conclusions:

  • The proposed methods offer state-of-the-art performance in bundle adjustment.
  • Block-sparsity exploitation and embedded iterations are critical for efficiency.
  • These advancements enable faster and more accurate 3D reconstructions.