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
|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||Representaion of spatial form by interpolation function (part1)||Lagrange interpolation method, spline interpolation method|
|Class 2||Representaion of spatial form by interpolation function (part2)||Parametric spline interpolation method|
|Class 3||Representaion of spatial form by interpolation function (part3)||Bezier curve, Bezier curved surface|
|Class 4||Coordinate transformation||Several coordinate transformation methods for computer graphics|
|Class 5||Transformation of spatial form||Scale transformation, Shearing transformation and nonuniform transformation|
|Class 6||Spatial form, light and shadow (part1)||Method of erasing of black bar and plane|
|Class 7||Spatial form, light and shadow (part2)||Representation of reflection and inflection, shading technique|
|Class 8||Examination for understanding the course||Basic questions about mathematical methods to represent spatial form|
"Descriptive Geometry・Graphic Science"
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.