Image registration is the process of finding an alignment between two or more images so that their appearances match. It has been widely studied and applied to several fields, including medical imaging and biology, where it is related to morphometrics. In this paper, we present a construction of conformal diffeomorphisms which is based on constrained optimization. We consider a set of different penalty terms that aim to enforce conformality, based on discretizations of the Cauchy–Riemann equations and geometric principles, and demonstrate them experimentally on a variety of images.

中文翻译：

---

基于约束优化的保形图像配准

图像配准是在两个或多个图像之间找到对齐以使它们的外观匹配的过程。它已被广泛研究并应用于与形态测量学相关的多个领域，包括医学成像和生物学。在本文中，我们提出了一种基于约束优化的共形微分同胚的构造。我们考虑了一组旨在强制保形的不同惩罚项，基于 Cauchy-Riemann 方程和几何原理的离散化，并在各种图像上通过实验证明它们。