In this course and the following course, 'Graphic Science and Computer Graphics 2', students learn various methods to express three-dimensional solid figures, and fundamental principle of computer graphics. After explanation by a lecture, they perform free hand drawing or practices with personal computers and then understand expression of three-dimensional solid figures and its application to engineering analyses. Especially in this course 1, students learn fundamentals of projection geometry to understand three-dimensional solid figures with two-dimensional drawings, mathematical expressions of figures with equations, vectors and matrices, and derivation of line or surface of intersection between figures.
Students can understand the fundamentals of projection geometry and mathematical expression of three-dimensional solid figures and can apply them to the graphic processing such as derivation of line and surface of intersection between solid figures.
Three-dimensional solid figure, Projection geometry, Third angle method, Projection, Vector equation, Line and surface of intersection
|✔ Specialist skills||Intercultural skills||Communication skills||Critical thinking skills||✔ Practical and/or problem-solving skills|
Lectures and practices of free hand drawing or practices with computer practices
|Course schedule||Required learning|
|Class 1||Guidance on this course and fundamentals of projection geometry||Concept of projection, Third angle method, Measurement of length of straight line and angle|
|Class 2||Principle of vice projection view and its drawing||Point plan view, Straight line plan view, Actual shape view|
|Class 3||Expression of three-dimensional solid figure with projection||Axonometric projection, Isometric projection|
|Class 4||Projection of three-dimensional solid figure and its mathematical expression||Orthographic projection, Axonometric projection, Perspective projection|
|Class 5||Vector equation (1)||Expression of line and plane|
|Class 6||Vector equation (2)||Expression of curved surface|
|Class 7||Line and surface of intersection between solid figures||Expression with parameters and solution with system of simultaneous equations|
To enhance effective learning, students are encouraged to spend approximately 100 minutes preparing for class and another 100 minutes reviewing class content afterwards (including assignments) for each class.
They should do so by referring to textbooks and other course material.
Inoh and Koseki, "例題で学ぶ図学－第三角法による図法幾何学" is recommended. A textbook, 'Graphic Science and Computer Aided Graphic Processing', or several materials will be distributed via OCW-i. This textbook will be used also in 'Graphic Science and Computer Graphics 2'. Students should download them before class. A compass and a triangle ruler are needed.
Some reference books may be introduced in lectures.
Students' course scores are determined based on small tests (40%) and the homework (60%).
Contact by E-mail in advance to schedule an appointment.
(1)Due to the limitation of facilities, this course is divided into two classes (Class A and Class B), each of which accepts less than 170 students and is open in different day of the week.
(2)This course is composed of lectures and practices, students have to attend all classes.
(3)Prof. Iwatsuki will correspond as for the inquiry about this course.