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||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.