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
✔ Specialist skills | Intercultural skills | Communication 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.