Valid for: 2014/15
Decided by: Education Board B
Date of Decision: 2014-04-08
Elective for: C5, D5-bg, E5-bg, F5, F5-bg, Pi4-bg
Language of instruction: The course will be given in English on demand
Today’s CAGD software is based on efficient numerical methods to construct curves and surfaces. The goal of the course is to explain in depth the basic algorithms and their foundations.
Knowledge and understanding
For a passing grade the student must
Competences and skills
For a passing grade the student must
Judgement and approach
For a passing grade the student must
Polynomial and spline interpolation. Bézier curves. De Casteljau's algorithm. Blossoms. De Boor's algorithm and de Boor points. Control polygons. NURBS. Different parametrizations of curves. Surfaces and extensions to the two-dimensional case.
Grading scale: TH
Assessment: Homework reports.
Required prior knowledge: FMA420 Linear Algebra, FMAA01/05 Calculus in One Variable, FMN011/FMN050 Numerical Analysis, EDA221 Computer Graphics or equivalent.
The number of participants is limited to: No
The course overlaps following course/s: FMA135
Director of studies: Anders Holst, Studierektor@math.lth.se
Course coordinator: Carmen Arevalo, carmen@maths.lth.se
Course homepage: http://www.maths.lth.se/na/courses/FMN100