Bezier curves

E155915

Bézier curves are mathematically defined parametric curves widely used in computer graphics and digital design to model smooth, scalable shapes and paths.

All labels observed (8)

How this entity was disambiguated

Statements (49)

Predicate Object
instanceOf geometric primitive
mathematical curve
parametric curve
componentOf Bezier curves self-linksurface differs
surface form: Bézier spline

Bezier curves self-linksurface differs
surface form: Bézier surface
definedBy Bernstein polynomials
Bezier curves self-linksurface differs
surface form: De Casteljau algorithm
developedAt Renault
developedBy Pierre Bézier
field computer graphics
computer-aided design
computer-aided geometric design
vector graphics
hasAdvantage compact representation of complex shapes
scale invariance
smooth interpolation between points
hasProperty C0 continuity at endpoints
affine invariance
defined by control points
lies within convex hull of control points
polynomial representation
variation diminishing property
mathematicalDomain approximation theory
computational geometry
numerical analysis
namedAfter Pierre Bézier
parameter t in [0,1]
relatedTo B-splines
surface form: B-spline

B-splines
surface form: NURBS
subtype cubic Bézier curve
higher-order Bézier curve
linear Bézier curve
quadratic Bézier curve
timePeriod 1960s
usedFor curve fitting
digital typography
font outlines
modeling smooth curves
motion paths
path animation
scalable icons
shape design
usedIn CAD systems
OpenType font technology
surface form: OpenType fonts

Portable Document Format
surface form: PDF

PostScript
SVG
TrueType
surface form: TrueType fonts

vector drawing software

How these facts were elicited

Referenced by (12)

Full triples — surface form annotated when it differs from this entity's canonical label.

PostScript hasFeature Bezier curves
Computer Graphics: Principles and Practice covers Bezier curves
this entity surface form: Bézier curves and surfaces
PS supports Bezier curves
subject surface form: PostScript
METAFONT supports Bezier curves
Bezier curves definedBy Bezier curves self-linksurface differs
subject surface form: Bézier curve
this entity surface form: De Casteljau algorithm
Bezier curves componentOf Bezier curves self-linksurface differs
subject surface form: Bézier curve
this entity surface form: Bézier surface
Bezier curves componentOf Bezier curves self-linksurface differs
subject surface form: Bézier curve
this entity surface form: Bézier spline
B-splines generalizationOf Bezier curves
B-splines generalizationOf Bezier curves
this entity surface form: Bezier surfaces
Quartz 2D supports Bezier curves
this entity surface form: Bezier paths
MacDraw supports Bezier curves
Catmull–Rom spline relatedTo Bezier curves
this entity surface form: Bezier curve