Collaborative Proposal: A Geometric Method for Image Registration

协作提案：图像配准的几何方法

• 批准号: 0612389
• 负责人: Max Gunzburger
• 金额: $ 12万
• 依托单位: Florida State University
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2006
• 资助国家: 美国
• 起止时间: 2006-08-01 至 2010-07-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=0612389&HistoricalAwards=false
• 关键词: Collaborative; Proposal; Geometric; Method; Image

A new computational method for image registration is formulated. Registration refers to the task of aligning a pair of images obtained by CT (computed tomography), MR (magnetic resonance), ultra-sound, and other techniques, so that they can be compared both qualitatively and quantitatively. This is an important problem with applications ranging from remote sensing to medicine. In medicine, imaging techniques and analysis have become an important, non-invasive tool for diagnosis and for surgical and radiation treatment planning. Despite advances in this area of research, the challenges posed by registration for three-dimensional images remains an open problem. A new mathematical approach is developed that optimizes any chosen similarity measure of the images, subject to the constraint of a set of differential equations that can generate any differentiable and invertible transformation.The main intellectual merit of the project is that it significantly enhances our understanding of imagery and shapes and also the accuracy and efficiency of image registration techniques. The main features of the new method are as follows.1. Similarity measures used to compare images are directly optimized.2. The method has a landmark matching capacity for large deformations between images.3. The method is founded on solid mathematical theory; in particular, the admissible space of transformations is the set of all differentiable and invertible transformations.4. The project is carried out with the use of the software Insight Tool Kit developed by the National Institutes of Health; that software provides an excellent resource for the research activity.The broader impacts of the proposed activity are as follows.1. Undergraduate and graduate students are educated and trained to apply powerful mathematical techniques to medical and other image processing problems.2. The new method will impact other areas of the computational sciences. Results are to be presented at conferences and published in scientific journals and through the mass media directed at scientists and the general population as well.3. New partnerships between medical doctors, biomedical engineers, and mathematicians are established, helping create a favorable environment for further research aimed at improving the health of our citizens.

制定了一种新的图像配准计算方法。 配准是指将通过CT（计算机断层扫描）、MR（磁共振）、超声等技术获得的一对图像进行对齐，以便进行定性和定量比较的任务。这是从遥感到医学等应用领域的一个重要问题。在医学领域，成像技术和分析已成为诊断以及手术和放射治疗计划的重要非侵入性工具。 尽管这一研究领域取得了进展，但三维图像配准带来的挑战仍然是一个悬而未决的问题。开发了一种新的数学方法，可以优化图像的任何选定的相似性度量，并受到一组可以生成任何可微分和可逆变换的微分方程的约束。该项目的主要智力优点在于，它显着增强了我们对图像和形状以及图像配准技术的准确性和效率。新方法的主要特点如下： 1．用于比较图像的相似性度量被直接优化。2．该方法对于图像间的大变形具有标志性的匹配能力。 3．该方法建立在坚实的数学理论之上；特别是，变换的允许空间是所有可微和可逆变换的集合。 4．该项目是使用美国国立卫生研究院开发的软件Insight Tool Kit进行的；该软件为研究活动提供了极好的资源。拟议活动的更广泛影响如下： 1．本科生和研究生接受教育和培训，将强大的数学技术应用于医学和其他图像处理问题。2．新方法将影响计算科学的其他领域。结果将在会议上公布并在科学期刊上发表，并通过面向科学家和普通大众的大众媒体发布。3。医生、生物医学工程师和数学家之间建立了新的合作伙伴关系，有助于为旨在改善公民健康的进一步研究创造有利的环境。