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Global optimization of networks of locally fitted objects

  • US 10,628,533 B2
  • Filed: 06/19/2017
  • Issued: 04/21/2020
  • Est. Priority Date: 06/27/2016
  • Status: Active Grant
First Claim
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1. A system, comprisinga processing device;

  • anda memory device in communication with the processing device, the memory device storing instructions that when executed by the processing device result in;

    receiving an electronic representation of a network of intelligent objects, the network including a plurality of intelligent objects and a plurality of gaps greater than a threshold between at least three of the intelligent objects;

    creating an aligned model of the network based at least in part on quaternion calculus, wherein all gaps in the aligned model of the network are less than the threshold, the creating comprising;

    optimizing a first plurality of the intelligent objects towards an axis of a second plurality of intelligent objects, wherein displacements between the intelligent objects are represented as dual unit quaternions and the optimizing comprises adding dual vectors built based at least in part on the dual unit quaternions;

    aligning the second plurality of intelligent objects towards the first plurality of intelligent objects, wherein the aligning comprises normalizing results of the adding dual vectors; and

    continuing to iteratively perform the optimizing and the aligning until a stopping condition is met; and

    outputting the aligned model of the network.

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