The aim of the module is to give students the mathematical theory related to curve and surface representation for computer aided engineering.
SYLLABUS
a) Motivation for and introduction to vector valued parametric polynomial curve and surface representations.
b) Parametric Cubic curve segments including Ferguson, Hermite, Bezier and B-spline forms.
c) Curve evaluation and interrogation including De Casteljau recursive subdivision.
d) Parameteric Bicubic Bezier surfaces, interrogation and continuity.
e) Rational Bezier cubic curves and conic representation.
f) Advanced interrogations with curves and surfaces using bounding boxes and subdivision.
Learning Outcomes
By the end of the module the students should be able to:
Demonstrate a comprehensive knowledge and understanding of mathematical and computer models relevant to the mechanical and related engineering disciplines, and an appreciation of their limitations;
Apply mathematical and computer-based models for solving problems in engineering, and assess the limitations of particular cases;
Demonstrate a thorough understanding of current practice and its limitations and some appreciation of likely new developments;
Assessment
23816-01 : Examination : Exam (Centrally Timetabled) - Written Seen (100%)
Assessment Methods & Exceptions
Assessment:
One 2 hour formal written unseen examination (100%) to be held during the University's main summer examination period.
Reassessment:
One 2 hour formal written unseen examination (100%) to be held during the University's supplementary examination period.