Modelling of Curves and Surfaces (1)

Course information

Welcome to Modelling of Curves and Surfaces (1) lectures. Here you will find all the necessary materials. Please review the assessment criteria.


Lectures - Tuesday, 08:10, M-120

Excercise sessions - Wednesday, 11:30, M-120


Recommended literature:

Cohen, E., Riesenfeld, R. F., & Elber, G. (2001). Geometric modeling with splines: an introduction. CRC Press.

Farin, G. (2007). Curves and surfaces for CAGD: a practical guide. Morgan Kaufmann.

Gallier, J. (2000). Curves and surfaces in geometric modeling: theory and algorithms. Morgan Kaufmann.

Marsh, D. (2006). Applied geometry for computer graphics and CAD. Springer.

Kiciak, P. (2016). Geometric continuity of curves and surfaces. Morgan & Claypool Publishers.

Lectures

Lecture 1

Introduction, course overview

Parametric curves

Bernstein polynomials

Different parametrizations yield the same curve

Examples of parametric curves

Bernstein polynomials for \( n = 3 \)

Bernstein polynomials for \( n = 4 \)

Lecture 2

Lecture 3

Lecture 4

Lecture 5

Lecture 6

Lecture 7

Lecture 8

Lecture 9

HOLIDAY

Lecture 10

Lecture 11

Lecture 12

Lecture 13

Assessment

A total of 100 points can be earned in this course, distributed as follows:

To successfully complete the course, students must earn at least 25 points in the exam.

Course grading scale:

Attendance at the lectures is neither mandatory nor graded.

If cheating is detected, 20 points will be deducted from the score of all participants. According to faculty rules, cheating is also grounds for disciplinary action. Cheating includes situations where only part of the submitted assignment is shared, as well as copying a solution submitted in previous years. The undeclared use of AI is also considered cheating.