EE642 INTRO. TO MATH. BASES OF COMP. GRAPHICS
Course Code: | 5670642 |
METU Credit (Theoretical-Laboratory hours/week): | 3 (3.00 - 0.00) |
ECTS Credit: | 8.0 |
Department: | Electrical and Electronics Engineering |
Language of Instruction: | English |
Level of Study: | Graduate |
Course Coordinator: | Prof.Dr. AYDAN MÜŞERREF ERKMEN |
Offered Semester: | Fall Semesters. |
Course Objectives
Students taking the course will learn;
- techniques to construct space curves of desired forms and establish continuity conditions at the joints of succeeding segments of the curve,
- techniques to construct surface patches of desired shapes and establish continuity conditions along the adjoining edges of adjacent patches,
- transformations of space objects splines and surface patches.
Course Content
Transformations of points and lines. Two and three dimensional transformations; translation, rotation, scaling and sheving. Projections and perspective transformations., Plane curves; Nonparametric and parametric curves and representations. Space curves; representation, splines and B-splines. Surface description and generation; bilinear, bicubic, coons, Bezier and B-spline surfaces.
Course Learning Outcomes
Students are going to be able to;
- formulate parametric and closed form representations of space curves and surface patches in engineering/mathematical problems specifically resulting in navigation of robots,
- use parametric and closed form representations of space curves and surface patches in engineering/mathematical problems specifically addressing robotic applications.