This course provides mathematical methods to express spatial form. Each lesson is composed of a lecture part and the exercise with a computer.
The students will comprehend mathematical methods to express two-dimensional and three-dimensional forms by the exercise.
The course will enhance the students perceptibility of mathematical methods to present spatial form by this course.
Spatial form, curved surface, polyhedron, interpolation, coordinate transformation
|Intercultural skills||Communication skills||✔ Specialist skills||Critical thinking skills||✔ Practical and/or problem-solving skills|
Each lesson is composed of a lesson and the exercise with a computer.
|Course schedule||Required learning|
|Class 1||Guidance on this course and a mathematical method to present a spatial form (part1)||Representation of orthogonal projection and axonometric projection|
|Class 2||A mathematical method to present a spatial form (part2)||Representation of perspective projection|
|Class 3||Vector equation (part1)||Representation of line and plane|
|Class 4||Vector equation (part2)||Representation of curved surface|
|Class 5||Intersecting line and plane of spatial form (part1)||Parameterization method|
|Class 6||Intersecting line and plane of spatial form (part2)||Method of simultaneous|
|Class 7||Representation of curved surface with polyhedron (part1)||Method of triangle meshing and auto meshing|
|Class 8||Representation of curved surface with polyhedron (part2)||Method of contour mapping and introduction of finite element analysis|
Mathematical Principle of Graphics and Conputer Aided Graphic Processing : Theis textbook will be distributed via OCW-i. Students should download it before class.
Course materials are provided during class if needed.
Students' course scores are based on attendance including small tests(40%) and the homework(60%).
No prerequisites, but it is desirable to master Descriptive Geometry・Graphic Science 1 and 2.