DEVELOPMENT OF A SPATIAL LIMITED ANGLE MODEL FOR COMPUTERIZED X RAY TOMOGRAPHY

计算机X射线断层摄影空间有限角度模型的开发

• 批准号: 3734280
• 负责人: PABLO SALZBERG
• 金额: --
• 依托单位: UNIVERSITY OF PUERTO RICO RIO PIEDRAS
• 依托单位国家: 美国
• 资助国家: 美国
• 起止时间: 至
• 项目状态: 未结题
• 来源: https://reporter.nih.gov/project-details/3734280
• 关键词: bioengineering /biomedical engineering; computed axial tomography; computer simulation; image processing; mathematical model; model design /development

Our research proposal deals with the development of a simple, fast, highly parallelizable, and limited angle model for computerized X-ray tomography, capable to perform spatial reconstructions in real time. The heuristic for the model has been introduced by the P.I. through several publications with students. In the first phase of our research, we shall complete the study and simultaneously, develop the algorithms for simulating how the model works in the planar case. Secondly, a comparative study of the quality of the reconstructions and speed will be performed, taking into consideration other existing models. Since the theory subjacent to the proposed model allows it extension to three or more dimensions, the third phase of the proposed research will be devoted to develop the algorithms for a spatial model and to perform a comparative study similar to that described for the second stage. An important goal of this project is to attract 2 outstanding students, graduate and 1 undergraduate, majoring in mathematics or in computer sciences, to biomedical research. For three years, these students will receive personalized training with emphasis on the mathematics or tomography will be encouraged to pursue doctoral studies in bio- mathematics, and will be on charge of most of the computational development and implementation of the model. The long-term objective of this proposal is to create a multi-disciplinary environment, involving undergraduate and graduate students, mathematicians, computer scientists, engineers and physicists, aimed at producing prototype CT scanner based on the spatial model showing higher performance among those tested in the second and third stages.

我们的研究提案涉及开发一种简单、快速、高度 用于计算机 X 射线断层扫描的可并行且有限角度模型， 能够实时进行空间重建。 启发式为 该模型是由 P.I. 引入的。通过几份出版物 学生。 在我们研究的第一阶段，我们要完成研究并 同时，开发模拟模型如何工作的算法 在平面情况下。 其次，质量比较研究 将进行重建和速度，同时考虑到 其他现有型号。 由于所提出模型的理论 允许它扩展到三个或更多维度，第三阶段 拟议的研究将致力于开发空间算法 模型并进行类似于所描述的比较研究 第二阶段。 这个项目的一个重要目标是吸引2名优秀的学生， 研究生和 1 名本科生，主修数学或计算机 科学，生物医学研究。 这些学生将在三年内 接受个性化培训，重点是数学或 将鼓励断层扫描在生物领域攻读博士学位 数学，并将负责大部分计算开发 和模型的实施。 该提案的长期目标是创建一个多学科的 环境，涉及本科生和研究生、数学家， 计算机科学家、工程师和物理学家，旨在生产原型 基于空间模型的 CT 扫描仪显示出更高的性能 那些在第二阶段和第三阶段进行测试的人。