Numerical Approaches for Linear Left-invariant Diffusions on SE(2), their Comparison to Exact Solutions, and their Applications in Retinal Imaging
在SE(2)上的线性左不变扩散的数值方法,其与精确解的比较及其在视网膜成像中的应用
机构 * Department of Biomedical Engineering, Biomedical Image Analysis (BMIA)(生物医学工程系,生物医学影像分析(BMIA)) ; Department of Mathematics and Computer Science, Image Science and Technology (IST/e)(数学与计算机科学系,图像科学与技术(IST/e)) ; Eindhoven University of Technology(埃因霍温理工大学) ; Northeastern University(东北大学)
AI总结 本文比较了SE(2)上左不变扩散的多种数值方法,并提供了精确解的分析,展示了傅里叶方法在精度上的优势,并在视网膜成像中应用了结合左不变PDE演化的可逆方向分数。
Comments A final and corrected version of the manuscript is Published in Numerical Mathematics: Theory, Methods and Applications (NM-TMA), vol. (9), p.1-50, 2016
Journal ref Numerical Mathematics: Theory, Methods and Applications (NM-TMA), vol. (9), p.1-50, 2016