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员和他的同事介绍了为期一年的计算数学研究和培训计划。 该 CSUMS 项目以图像和视频中令人兴奋的数学应用作为激励性示例，为参与者提供数学理论和解决问题技术方面的坚实背景，以在需要计算和数学科学综合优势的领域追求职业和研究生学习。 该项目从春季学期开始，为学生提供数值方法、数学建模、计算机视觉和成像科学方面的课程。然后，在密集的夏季课程中，学生们沉浸在一个研究项目中。 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方面的额外课程。 在接下来的春季学期，学生们将提交研究成果发表，完成本科荣誉论文，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，这使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。 为了拓宽学生的视野，学校还对佛罗里达州中部地区的洛克希德·马丁公司、哈里斯公司和波音公司等科技公司进行了实地考察。最后，为了促进学生之间的互动，整个项目都开设了研讨会课程，并包括一些社交活动，例如与参观校园的杰出演讲者共进晚餐。 每年，UCF 都会从数学专业和辅修专业的学生中选出 10 名参与者。 该计划的关键要素包括：在精心设计的课程作业中进行全年培训，以便参与者能够掌握数学和计算基础知识，让每个参与者参与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、进行例行研讨会演示和在专业会议上发言，培养参与者以书面和口头陈述方式交流科学思想的技能。 该项目代表了来自数学、计算机科学、教育和工业界教师的团队努力。 它导致了为期一年的计算数学研究型课程的开发。 特别是，通过计算机视觉和成像科学方面升级和新设计的课程和现实研究项目，参与者接受了计算数学的最新技术和关键问题的培训，并接触到计算数学的最新技术和关键问题，其中涉及视频压缩、图像去噪、对象检测、跟踪、活动和事件识别。 该项目有助于培养一支多元化科学家队伍，以维持美国在科学和工程领域的战略指挥地位。 参与者接受计算数学方面的培训，重点是计算机视觉和成像科学，特别是他们学习计算基础知识及其在国防和情报、国土安全以及生物医学和生命科学等领域的应用。 该 CSUMS 模型的成果、其评估、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.