Perspective Geometry: Projective Geometry Applied to Perspective Art

透视几何：射影几何应用于透视艺术

• 批准号: 1140113
• 负责人: Fumiko Futamura
• 金额: $ 6.94万
• 依托单位: Southwestern University
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2012
• 资助国家: 美国
• 起止时间: 2012-09-01 至 2015-08-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=1140113&HistoricalAwards=false
• 关键词: Perspective; Geometry; Projective; Applied; Art

This project is developing an illustrated undergraduate text in projective geometry applied to perspective art, which is suitable for use in sophomore- or junior-level mathematics courses for mathematics majors, students pursuing computer graphics, or mathematically talented art majors. The project builds on the prior NSF-funded work of one of the PIs, which resulted in the publication of the undergraduate text, "Viewpoints: Mathematical Perspective and Fractal Geometry in Art" and a series of Viewpoints Mathematics and Art workshops for undergraduate instructors. The project is 1) developing a series of materials (papers, classroom modules, homework exercises), 2) testing the materials in the classes at Franklin and Marshall College and Southwestern University and evaluating these materials formally, 3) presenting these materials (via talks, journal publications, web distribution, and mini-courses) to other instructors for their feedback, and 4) publishing, marketing, and disseminating the text. This course enhances knowledge of geometry and gives readily-accessible applications that can be used in teaching, in studies where this type of projective geometry course is relevant, and in fulfilling mathematics course requirements with content that is relevant to non-mathematics majors.

本项目正在开发应用于透视艺术的投影几何的插图本科文本，适用于数学专业，计算机图形学学生或数学天才艺术专业的大二或大三数学课程。该项目建立在以前NSF资助的一个PI的工作，这导致了本科文本的出版，“观点：数学视角和分形几何艺术”和一系列的观点数学和艺术研讨会的本科教师。 该项目是1）开发一系列材料（论文，课堂模块，家庭作业），2）在富兰克林和马歇尔学院和西南大学的课堂上测试材料，并正式评估这些材料，3）展示这些材料（通过讲座、期刊出版物、网络分发和迷你课程）向其他讲师提供反馈，以及4）出版、营销，传播文本。 本课程增强了几何知识，并提供了易于访问的应用程序，可用于教学，在研究中，这种类型的射影几何课程是相关的，并在履行数学课程要求与内容相关的非数学专业。