12–13 Sept 2025
UP FAMNIT
UTC timezone

Bézier diagonals

13 Sept 2025, 14:10
20m
VP3 (UP FAMNIT)

VP3

UP FAMNIT

sekcija za mlade

Speaker

Domen Gradišek

Description

The topic of the lecture is Bézier curves and surfaces. The main goal is to determine the diagonals on Bézier surfaces in the following sense: it will be shown that diagonals are Bézier curves, and the relationship between their control points and the control points of the surfaces will be established. Furthermore, conditions are derived under which two arbitrary curves are diagonals of a Bézier surface. Finally, a class of surfaces with identical diagonals is determined, and how this class changes when, in addition to conditions on the diagonals, further constraints on the boundary of the surface are imposed.

Author

Domen Gradišek

Presentation materials

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