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- 工学院，物質理工学院，環境・社会理工学院共通科目
- Liberal arts and basic science courses
- First-Year Courses
- School of Science
- School of Engineering
- School of Materials and Chemical Technology
- School of Computing
- School of Life Science and Technology
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School of Environment and Society
- Department of Architecture and Building Engineering
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- Graduate major in Technology and Innovation Management
- Common courses
- Liberal arts and basic science courses
- Academic unit or major
- Basic science and technology courses
- Instructor(s)
- Iwatsuki Nobuyuki Inou Norio Sugahara Yusuke
- Class Format
- Lecture / Exercise
- Media-enhanced courses
- Day/Period(Room No.)
- Fri3-4(石3-PC演習室,石3-310)
- Group
- -
- Course number
- LAS.D202
- Credits
- 1
- Academic year
- 2018
- Offered quarter
- 2Q
- Syllabus updated
- 2018/4/5
- Lecture notes updated
- -
- Language used
- Japanese
- Access Index
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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
| ✔ Specialist skills | Intercultural skills | Communication 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.
