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.
This 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 | Representation of curved surface with polyhedron (part1) | Method of triangle meshing and auto meshing |
Class 2 | Representation of curved surface with polyhedron (part2) | Method of contour mapping and introduction of finite element analysis |
Class 3 | Representation of spatial form by interpolation function (part1) | Lagrange interpolation method, spline interpolation method |
Class 4 | Representation of spatial form by interpolation function (part2) | Parametric spline interpolation method |
Class 5 | Representation of spatial form by interpolation function (part3) | Bezier curve, Bezier curved surface |
Class 6 | Transformation of spatial form | Scale transformation, Shearing transformation and nonuniform transformation |
Class 7 | Spatial form, light and shadow (part1) | Method to erase hidden line and plane |
Class 8 | Spatial form, light and shadow (part2) | Representation of reflection and inflection, shading technique |
Mathematical Principle of Graphics and Computer Aided Graphic Processing : This 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 small tests(40%) and the homework(60%).
No prerequisites, but it is desirable to master Descriptive Geometry・Graphic Science 1 and 2.