CSUMS: Computational Mathematics with an Emphasis on Computer Vision and Imaging Science (CMECVIS)

ShahDMS-0803059 中佛罗里达大学数学系的研究者和他的同事介绍了一年来的计算数学研究和培训计划。 使用数学在图像和视频中令人兴奋的应用作为激励的例子，这个CSUMS程序为参与者提供了数学理论和解决问题的技术的坚实背景，以追求职业生涯和研究生学习，需要在计算和数学科学的综合优势领域。 该计划在春季学期开始，课程为学生提供数值方法，数学建模，计算机视觉和成像科学。然后，在一个密集的夏季部分，学生们沉浸在一个研究项目。 在秋季学期，他们继续进行研究，并采取先进的计算机视觉和成像科学，以及先进的数学建模额外的课程。 在接下来的春季学期，学生们将他们的研究成果提交出版，完成本科生荣誉论文，并接受研究生职业发展问题的培训。 此外，参与者还参加专业会议，这使他们有机会介绍他们的研究，并会见该领域的知名研究人员，他们可能成为他们的榜样。 为了拓宽学生的视野，有实地考察技术公司incentral佛罗里达地区，如洛克希德马丁公司，哈里斯公司和波音公司。最后，为了促进学生之间的互动，在整个课程中安装了一个eminar课程，并包括一些社交活动，如与访问校园的演讲者共进晚餐。 每年从UCF的数学专业和未成年人中选出10名参与者。 该方案的主要内容包括：在精心设计的课程工作中进行全年培训，使参与者能够掌握数学和计算基础知识，使每个参与者参与一个有意义的研究项目，并将其纳入为期一年的计划，并通过撰写期刊论文发表，进行例行的学术报告，并在专业会议上发言。 该计划代表了来自数学，计算机科学，教育和工业的教职员工的团队努力。 它导致了一个为期一年的面向研究的计算数学课程的发展。 特别是，参与者通过升级和新设计的课程以及计算机视觉和成像科学的现实研究项目接受培训并接触计算数学的最新技术和关键问题，其中涉及视频压缩，图像降噪，对象检测，跟踪，活动和事件识别。 该项目有助于培养一支由不同科学家组成的工作队伍，以巩固美国在科学和工程领域的战略地位。 参与者接受计算数学培训，重点是计算机视觉和成像科学，特别是他们学习计算的基础知识，以及在国防和情报，国土安全，生物医学和生命科学等领域的应用。 该CSUMS模式的成果、评估、相关研究、文章和课程材料通过专门的网站传播到其他学院和大学。

ShahDMS-0803059 The investigator and his colleagues at the Department ofMathematics of the University of Central Florida introduce ayear-long computational mathematics research and trainingprogram. Using exciting applications of mathematics in imagesand videos as motivating examples, this CSUMS program providesparticipants with a solid background in both mathematical theoryand problem-solving techniques to pursue careers and graduatestudy in fields that require integrated strengths in computationand the mathematical sciences. The program starts in the springsemester with classes that prepare students in numerical methods,mathematical modeling, and computer vision and imaging science. Then, in an intensive summer component, the students immersethemselves in a research project. In the fall semester theycontinue to conduct research and take additional classes inadvanced computer vision and imaging science, and advancedmathematical modeling. In the follow-up spring semester, thestudents submit their research for publication, finish anundergraduate honors thesis, and get training in graduate careeradvancement issues. In addition, participants attendprofessional conferences, which give them a chance to presenttheir research and to meet known researchers in the field, whomay serve as their role models. To broaden the students'perspective, there are field trips to technology companies incentral Florida area such as Lockheed-Martin, Harris, and Boeing. Finally in order to promote interaction amongst the students, aseminar course is installed throughout the program and severalsocial events are included such as dinners with distinguishedspeakers visiting the campus. A cohort of 10 participants is selected each year among mathmajors and minors at UCF. The key elements of the programinclude: to have a full year training in carefully designedcourse work so that the participants can master the mathematicaland computational fundamentals, to engage each participant in ameaningful research project integrated into the year-longprogram, and to develop the participants' skills in communicatingscientific ideas in writing and oral presentations throughwriting journal papers for publication, giving routine seminarpresentations, and presenting at the professional meetings. Theprogram represents a team effort of faculty members frommathematics, computer science, education and industry. It leadsto the development of a year-long research-oriented curriculumfor computational mathematics. In particular, the participantsare trained in and exposed to the latest techniques and criticalissues in computational mathematics through both upgraded andnewly designed courses and real-life research projects incomputer vision and imaging science, which involve videocompression, image denoising, object detection, tracking,activity and event recognition. This project contributes topreparing a work force of diverse scientists in order to maintainAmerica's strategic position of command in science andengineering. Participants are trained in computationalmathematics with an emphasis on computer vision and imagingscience, in particular they learn fundamentals of computationwith applications of consequence in areas such as nationaldefense and intelligence, homeland security, and biomedical andlife sciences. The outcome of this CSUMS model, its evaluation,related research, articles, and curriculum materials, isdisseminated to other colleges and universities via a dedicatedweb site.