Collaborative Research: Analytic and Geometric Methods in Limited Angle Tomosynthesis

围绕医学成像的理论和实践存在许多数学挑战。利用各种成像模态获得的图像通常遭受诸如低分辨率、低对比度、高噪声水平、模态特定伪影和几何变形的缺陷。此外，鉴于这些图像中收集的数据量巨大，需要自动化工具来帮助分析数据。这些挑战对于数学探索来说已经成熟。PI将在达特茅斯医学院和达特茅斯希区柯克医学中心度过2010/11学年，在约翰B博士的指导下沉浸在医学成像的研究和应用中。韦弗除了韦弗教授，还有一个活跃的和有成就的教师队伍，他们在达特茅斯的塞耶工程学院和医学院的放射科都有成像专业知识，PI将与他们互动。 PI将主要关注应用于数字断层合成的分割问题和配准问题，尽管他们打算在沉浸年期间获得医学图像分析所有领域的知识。PI计划利用这一经验，在他们的研究概况打开和维持一个新的研究途径。PI将利用这一经验，以扩大提供给卫斯理学生在未来几年的课程。 他们将在成像数学、数据分析和医学成像等领域提供一系列高级本科/研究生水平的课程。他们预计，这项活动将导致他们部门的课程提供的重大演变。随着医学成像的不断研究，我们也希望能够吸引一些研究生进入这一重要领域。

There are numerous mathematical challenges surrounding the theory and practice of medical imaging. Images obtained with the various imaging modalities typically suffer from imperfections such as low resolution, low contrast, high noise level, modality-specific artifacts and geometric deformations. Furthermore, given the vast amount of data collected in these images, automated tools are needed that aid in analyzing the data.These challenges are ripe for mathematical exploration. The PIs will spend the academic year 2010/11 at the Dartmouth Medical School and the Dartmouth Hitchcock Medical Center immersed in the study and application of medical imaging under the guidance of Dr.John B. Weaver. In addition to Professor Weaver, there is an active and accomplished cohort of faculty with imaging expertise both at the Thayer School of Engineering at Dartmouth and in the Radiology Department at the Medical School with whom the PIs will interact. The PIs will focus mostly on the segmentation problem and the registration problem as applied to digital tomosynthesis, although they intend to gain knowledge in all areas of medical image analysis during their immersion year. The PIs plan to use this experience to open and sustain a new avenue of research in their research profiles.The PIs will use this experience to broaden the curricular offerings available to Wesleyan students in future years. They will offer a suite of classes at the advanced undergraduate/graduate level in areas such as the mathematics of imaging, data analysis, and medical imaging. They expect that this activity will lead to a significant evolution of course offerings in their department. With ongoing research in medical imaging we would also hope to be able to attract some graduate students into this important field.