### 2018　Descriptive Geometry・Graphic Science4

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Basic science and technology courses
Instructor(s)
Iwatsuki Nobuyuki  Inou Norio  Sugahara Yusuke
Course component(s)
Lecture / Exercise
Day/Period(Room No.)
Fri3-4(石3-PC演習室,石3-310)
Group
-
Course number
LAS.D202
Credits
1
2018
Offered quarter
2Q
Syllabus updated
2018/4/5
Lecture notes updated
-
Language used
Japanese
Access Index

### Course description and aims

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.

### Student learning outcomes

This course will enhance the students perceptibility of mathematical methods to present spatial form by this course.

### Keywords

Spatial form, curved surface, polyhedron, interpolation, coordinate transformation

### Competencies that will be developed

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

### Class flow

Each lesson is composed of a lesson and the exercise with a computer.

### Course schedule/Required learning

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

### Textbook(s)

Mathematical Principle of Graphics and Coｍputer Aided Graphic Processing : This textbook will be distributed via OCW-i. Students should download it before class.

### Reference books, course materials, etc.

Course materials are provided during class if needed.

### Assessment criteria and methods

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

### Related courses

• LAS.D101 ： Descriptive Geometry・Graphic Science1
• LAS.D102 ： Descriptive Geometry・Graphic Science2
• LAS.D201 ： Descriptive Geometry・Graphic Science3

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

No prerequisites, but it is desirable to master Descriptive Geometry・Graphic Science 1 and 2.