论文标题

基于正弦图模式的CT图像重建的高度精确量子优化算法

Highly accurate quantum optimization algorithm for CT image reconstructions based on sinogram patterns

论文作者

Jun, Kyungtaek

论文摘要

计算机断层扫描(CT)已被开发为一种非破坏性技术,用于观察样品的微小内部图像。由于CT扫描过程中产生的各种不需要的伪影以及背部投影算法的局限性,因此很难获得光真逼真的(清洁或清除)CT图像。最近,已经开发了一种迭代优化算法,该算法使用整个正弦图来减少由伪像引起的误差。在本文中,我们引入了一种用于重建CT图像的新量子算法。只要定义投影,该算法就可以与任何类型的光源一起使用。假设我们有一个由ra换变换产生的实验纹状体图。为了找到该正式图的CT图像,我们将CT图像表示为Qubits的组合。在未确定的CT图像的ra换后,我们发现了实际的曲置和优化量子位的组合。此处使用的全局能量优化值可以通过门模型量子计算机或量子退火器来确定Qubits的值。特别是,新算法也可以用于锥形束CT图像重建,并在医学成像领域有很大帮助。

Computed tomography (CT) has been developed as a non-destructive technique for observing minute internal images of samples. It has been difficult to obtain photo-realistic (clean or clear) CT images due to various unwanted artifacts generated during the CT scanning process, along with limitations of back projection algorithms. Recently, an iterative optimization algorithm has been developed that uses the entire sinogram to reduce errors caused by artifacts. In this paper, we introduce a new quantum algorithm for reconstructing CT images. This algorithm can be used with any type of light source as long as the projection is defined. Suppose we have an experimental sinogram produced by a Radon transform. To find the CT image of this sinogram, we express the CT image as a combination of qubits. After the Radon transform of the undetermined CT image, we find the combination of the actual sinogram and the optimized qubits. The global energy optimization value used here can determine the value of qubits through a gate model quantum computer or quantum annealer. In particular, the new algorithm can also be used for cone-beam CT image reconstructions and will be of great help in the field of medical imaging.

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