2020 Descriptive Geometry & Computer Graphics2 A

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Academic unit or major
Basic science and technology courses
Iwatsuki Nobuyuki  Sugahara Yusuke  Hayakawa Tomohisa  Suzuki Safumi  Watanabe Yoshihiro  Kimura Hitoshi 
Class Format
Lecture / Exercise    (ZOOM)
Media-enhanced courses
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Syllabus updated
Lecture notes updated
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Course description and aims

In this course and the 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 2, students learn methods to express three-dimensional solid figures with with polyhedron or interpolating functions, coordinate transformation and light and shadow with solid figures.

Student learning outcomes

Students can understand various method to express three-dimensional solid figures and can apply them to the graphic processing such as coordinate transformation and light and shadow with solid figures.


Three-dimensional solid figure, Polyhedron, Interpolation function, Coordinate transformation, Deformation, Light and shadow with solid figure

Competencies that will be developed

Specialist skills Intercultural skills Communication skills Critical thinking skills Practical and/or problem-solving skills

Class flow

Lectures and practices of free hand drawing or practices with computer practices

Course schedule/Required learning

  Course schedule Required learning
Class 1 Expression of curved surface with polyhedron Method of triangle meshing and auto meshing,Contour mapping and application to Finite Element Analysis
Class 2 Expression of solid figure with interpolation function (1) Lagrange interpolation, Spline interpolation
Class 3 Expression of solid figure with interpolation function (2) Parametric spline, Bezier curve and curved surface
Class 4 Coordinate transformation Coordinate transformation between various coordinate systems, Posture of solid figure and coordinate transformation due to rotation
Class 5 Coordinate transformation and 3D solid figure transformation Scale transformation, shearing transformation, nonuniform transformation
Class 6 Light and shadow with solid figure (1) Methods to erase hidden line and plane and to add shading
Class 7 Light and shadow with solid figure (2) Expression of reflection and inflection

Out-of-Class Study Time (Preparation and Review)

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.


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 1'. Students should download them before class.

Reference books, course materials, etc.

Some reference books may be introduced in lectures.

Assessment criteria and methods

Students' course scores are determined based on small tests (40%) and the homework (60%).

Related courses

  • LAS.D103 : Graphic Science & Computer Graphics1

Prerequisites (i.e., required knowledge, skills, courses, etc.)

It is desirable to master ' Graphic Science & Computer Graphics 1'.


(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.

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