Hybrid Physics-Based Elastic Image Registration Using Approximating Splines

机译：使用近似样条的基于混合物理的弹性图像配准

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We introduce a new hybrid physics-based approach for elastic image registration using approximating splines. As underlying deformation model we employ Gaussian elastic body splines (GEBS), which are an analytic solution of the Navier equation under Gaussian forces and are represented by matrix-valued basis functions. Our approach is formulated as an energy-minimizing functional that incorporates both landmark and intensity information as well as a regularization based on GEBS. We also include landmark localization uncertainties represented by weight matrices. Since the approach is based on a physical deformation model, cross-effects in elastic deformations can be handled. We demonstrate the applicability of our scheme based on MR images of the human brain. It turns out that the new scheme is superior to a pure landmark-based as well as a pure intensity-based scheme.

机译：我们引入一种基于混合物理的新方法，使用近似样条曲线进行弹性图像配准。作为基础变形模型，我们使用高斯弹性体样条线（GEBS），它是在高斯力作用下Navier方程的解析解，并由矩阵值基函数表示。我们的方法被公式化为一种能量最小化功能，它既包含界标和强度信息，又基于GEBS进行正则化。我们还包括以权重矩阵表示的地标性定位不确定性。由于该方法基于物理变形模型，因此可以处理弹性变形中的交叉效应。我们基于人脑的MR图像展示了我们的方案的适用性。事实证明，新方案优于纯基于地标的方案以及纯基于强度的方案。

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来源
《Conference on Medical Imaging 2008: Imaging Processing; 20080217-19; San Diego,CA(US)》|2008年|P.iviii|共2页
会议地点 San DiegoCA(US)
作者
Stefan Worz; Karl Rohr;
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作者单位

University of Heidelberg, BIOQUANT, IPMB, and German Cancer Research Center,Dept. Bioinformatics and Functional Genomics, Biomedical Computer Vision Group,Im Neuenheimer Feld 267, 69120 Heidelberg, Germany;

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原文格式 PDF
正文语种 eng
中图分类医用物理学;
关键词
registration; hybrid elastic registration; gaussian elastic body splines; localization uncertainties;

机译：配准；混合弹性配准；高斯弹性体样条；定位不确定性;

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2. Algorithm for Spline-Based Elastic Registration in Application to Confocal Images of Gene Expression [J] . C. O. S. Sorzano, M. S. Blagov, P. Thevenaz, Pattern recognition and image analysis: advances in mathematical theory and applications in the USSR . 2006,第1期

机译：基于样条的弹性配准算法在基因表达共聚焦图像中的应用
3. Elastic registration of biological images using vector-spline regularization [J] . Sorzano C.O.S., Thevenaz P., Unser M. IEEE Transactions on Biomedical Engineering . 2005,第4期

机译：使用向量样条正则化对生物图像进行弹性配准
4. Hybrid Physics-Based Elastic Image Registration Using Approximating Splines [C] . Stefan Worz, Karl Rohr Conference on Medical Imaging: Imaging Processing . 2008

机译：基于混合物理的弹性图像配准，使用近似样条曲线
5. Automatic Image Registration by Using Multi-Variate Spline Functions. [D] . Zheng, Peng. 2017

机译：通过使用多变量样条函数自动进行图像配准。
6. Image Quality Improvement in Adaptive Optics Scanning Laser Ophthalmoscopy Assisted Capillary Visualization Using B-spline-based Elastic Image Registration [O] . Akihito Uji, Sotaro Ooto, Masanori Hangai, -1

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7. Point-based elastic registration of medical image data using approximating thin-plate splines [O] . K. Rohr, H. S. Stiehl, R. Sprengel, 1996

机译：使用近似薄板样条的医学图像数据的基于点的弹性配准

Hybrid Physics-Based Elastic Image Registration Using Approximating Splines

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