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

研究人员ShahDMS-0803059和他在中佛罗里达大学数学系的同事们介绍了长达一年的计算数学研究和培训计划。以令人兴奋的数学在图像和视频中的应用为激励例子，这个CSUMS项目为参与者提供了坚实的数学理论和问题解决技术背景，以在需要计算和数学科学综合优势的领域追求职业生涯和毕业学习。该项目从春季学期开始，课程为学生准备数值方法、数学建模、计算机视觉和成像科学。然后，在一个密集的暑期部分，学生们全身心地投入到一个研究项目中。在秋季学期，他们继续进行研究，并参加高级计算机视觉和成像科学以及高级数学建模的额外课程。在接下来的春季学期，学生们提交他们的研究论文以供发表，完成一篇本科荣誉论文，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，这让他们有机会展示他们的研究成果，并会见该领域的知名研究人员，这些研究人员可以作为他们的榜样。为了开阔学生的视野，他们还对佛罗里达中部地区的科技公司进行了实地考察，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，在整个项目中设置了一个中间课程，并包括几个社交活动，如与不同演讲者参观校园的晚宴。UCF每年从数学专业的学生和未成年人中选出10名参与者。该计划的主要内容包括：在精心设计的课程工作中接受全年的培训，使参与者能够掌握数学和计算基础知识，使每个参与者都参与到一个整合到为期一年的计划中的有意义的研究项目中，并通过撰写发表的期刊论文、例行的学术报告和在专业会议上发表报告来培养参与者在写作和口头陈述中交流科学思想的技能。该项目代表了来自数学、计算机科学、教育和工业的教职员工的团队努力。这导致了一项为期一年的计算数学研究型课程的开发。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实际研究项目，接受计算数学方面的最新技术和关键问题的培训和接触，这些研究项目涉及视频压缩、图像去噪、物体检测、跟踪、活动和事件识别。该项目有助于维持一支由不同科学家组成的工作队伍，以保持美国在科学和工程领域的战略指挥地位。学员接受计算数学培训，重点是计算机视觉和成像科学，特别是学习计算基础知识，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重要应用。这种CSUMS模式的结果、其评估、相关研究、文章和课程材料通过一个专门的网站传播给其他高校。

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.