Uniqueness of Angular Velocity Reconstruction in Parallel-Beam and Diffraction Tomography
Peter Elbau, Denise Schmutz
这项工作解决了在平行光束和衍射断层扫描的框架内从连续的时间依赖测量中唯一确定旋转运动的问题。 动机源于使用光学或声学镊子操纵和旋转的捕获生物样本成像的挑战。 我们分析了使用无穷小的共同线和圆方法可以单独恢复未知样品的旋转的条件。 我们为样品的结构和诱导运动提供了明确的标准,保证所有旋转参数的独特重建。 此外,我们证明,唯一性失败的一组物体没有密度。
This work addresses the problem of uniquely determining a rotational motion from continuous time-dependent measurements within the frameworks of parallel-beam and diffraction tomography. The motivation stems from the challenge of imaging trapped biological samples manipulated and rotated using optical or acoustic tweezers. We analyze the conditions under which the rotation of the unknown sample can be uniquely recovered using the infinitesimal common line and circle method, respectively. We prov...