Georges-Pierre Bonneau
email:
INRIA Rhône-Alpes
655 Av. de l'Europe
F-38330 Saint-Ismier (France)
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MoSiG, Computer Graphics II
Geometric Modeling
Homework
Due:
Send email to Georges-Pierre.Bonneau at inria.fr with archive containing pdf report and program sources
Email object: [MOSIG] CGII
Objective:
Illustrate their convergence
Download starting source code: MOSIG_CGII_FOR_STUDENTS
A Subdivision Curve
Its Curvature Plot: the curve is NOT C2
TODO
1) Implement for an arbitrary closed polygon the following curve subdivision scheme:
b. Corner cutting (with parameters a and b)
c. 4-point scheme
d. Generalized 4-point scheme
e. Uniform splines of degree 3
2) Compute a distance between a given polygon and its subdivision
3) Compute the angles at each vertices of a closed polygon
4) Write a short report (max 4 to 5 pages including illustrations), with illustration of the implemented subdivision schemes, together with plots showing the convergence of the scheme and the smoothness (C0, C1 or C2) of the limit