2019 Descriptive Geometry・Graphic Science4

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Academic unit or major
Basic science and technology courses
Instructor(s)
Iwatsuki Nobuyuki  Sugahara Yusuke  Kimura Hitoshi 
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
Academic year
2019
Offered quarter
2Q
Syllabus updated
2019/4/8
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.

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