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We present a fast and high order method for the problem of Image Registration, using Optimal Transport and the Isogeometric Analysis paradigm. Our method is based on the resolution of the Monge-Ampère equation and ensures the one-to-one property. In addition, the use of B-Splines allows to create a map that can be evaluated everywhere, and reduces the number of degrees of freedom needed to store the constructed (gradient) map, by using e.g. high order B-Splines functions.

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Isogeometric Analysis For Image Registration and Segmentation Using Optimal Transport Problem

  • 会议论文

  • 发表日期：

    2025年

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  • Mustapha Bahari,
  • Abderrahmane Habbal,
  • Ahmed Ratnani

摘要

We present a fast and high order method for the problem of Image Registration, using Optimal Transport and the Isogeometric Analysis paradigm. Our method is based on the resolution of the Monge-Ampère equation and ensures the one-to-one property. In addition, the use of B-Splines allows to create a map that can be evaluated everywhere, and reduces the number of degrees of freedom needed to store the constructed (gradient) map, by using e.g. high order B-Splines functions.