2017 Descriptive Geometry・Graphic Science4

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Academic unit or major
Basic science and technology courses
Iwatsuki Nobuyuki  Inou Norio  Sugahara Yusuke 
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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.


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
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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 Representaion of spatial form by interpolation function (part1) Lagrange interpolation method, spline interpolation method
Class 2 Representaion of spatial form by interpolation function (part2) Parametric spline interpolation method
Class 3 Representaion of spatial form by interpolation function (part3) Bezier curve, Bezier curved surface
Class 4 Coordinate transformation Several coordinate transformation methods for computer graphics
Class 5 Transformation of spatial form Scale transformation, Shearing transformation and nonuniform transformation
Class 6 Spatial form, light and shadow (part1) Method of erasing of black bar and plane
Class 7 Spatial form, light and shadow (part2) Representation of reflection and inflection, shading technique
Class 8 Examination for understanding the course Basic questions about mathematical methods to represent spatial form


"Descriptive Geometry・Graphic Science"

Reference books, course materials, etc.

Course materials are provided during class if needed.

Assessment criteria and methods

Students' course scores are based on attendance including 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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