Statements (64)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
mathematical curves
|
| gptkbp:animationStudio |
using keyframe animation
|
| gptkbp:application |
surface modeling
font design |
| gptkbp:can_be |
by moving control points
to N-dimensional space to create complex shapes using rasterization techniques using vector rendering techniques using_piecewise_Bézier_curves |
| gptkbp:characteristics |
continuity
affine invariance smoothness |
| gptkbp:controls |
P0, P1, ..., Pn
|
| gptkbp:defines |
control points
|
| gptkbp:educational_programs |
depends on the number of control points
|
| https://www.w3.org/2000/01/rdf-schema#label |
Bézier curves
|
| gptkbp:introduced |
1962
|
| gptkbp:is_a_representation_of |
as a polynomial function
B(t) = (1-t)^n P0 + nC1(1-t)^(n-1)t P1 + ... + t^n Pn |
| gptkbp:is_evaluated_by |
using_Bernstein_polynomials
using_De_Casteljau's_algorithm |
| gptkbp:is_used_in |
for visual effects
for architectural design for art installations for augmented reality applications for character animation for collision detection for data visualization for educational animations for educational tools for game physics for generative art for industrial design for interactive applications for interactive storytelling for logo design for marketing materials for mobile app design for music visualization for path animation for presentations. for product design for scientific visualization for shape interpolation for simulation modeling for sound synthesis for texture mapping for training simulations for virtual reality applications for web design for_UI_design |
| gptkbp:namedAfter |
Pierre_Bézier
|
| gptkbp:type |
cubic Bézier curves
linear Bézier curves parametric curves quadratic_Bézier_curves |
| gptkbp:usedIn |
3D modeling
computer graphics animation game development vector graphics motion graphics CAD_software |