Catmull–Rom spline
E260383
cubic Hermite spline
curve modeling technique
interpolating spline
mathematical concept
parametric curve
The Catmull–Rom spline is a type of interpolating spline commonly used in computer graphics and animation to create smooth curves that pass through a given set of control points.
All labels observed (2)
| Label | Occurrences |
|---|---|
| Catmull–Rom spline canonical | 1 |
| non-uniform Catmull–Rom spline | 1 |
How this entity was disambiguated
This entity first appeared as the object of triple T2384667 — resolving that mention is where its identity was fixed. The disambiguator weighed these candidate entities and picked the highlighted one (or “None”, minting a new entity). This is how homonymy is resolved: the same surface form can point to different entities.
NED1
Entity disambiguation (via context triple)
gpt-5-mini-2025-08-07
Target entity: Catmull–Rom spline Context triple: [Edwin Catmull, knownFor, Catmull–Rom spline]
-
A.
Bezier curves
Bézier curves are mathematically defined parametric curves widely used in computer graphics and digital design to model smooth, scalable shapes and paths.
-
B.
B-splines
B-splines are piecewise polynomial functions widely used in computer graphics and numerical analysis to create smooth, flexible curves and surfaces controlled by a set of control points.
-
C.
Archimedes' spiral
Archimedes' spiral is a classical mathematical curve that winds outward from a fixed point at a constant rate as it revolves around that point.
-
D.
Page curve
The Page curve is a theoretical prediction in black hole physics that describes how the entanglement entropy of Hawking radiation should rise and then fall over time if black hole evaporation is ultimately unitary.
-
E.
Carathéodory–Fejér interpolation
Carathéodory–Fejér interpolation is a classical result in complex analysis and approximation theory that concerns constructing analytic functions, typically with bounded or positive real part, that match prescribed initial Taylor coefficients.
- F. None of above. chosen
- G. Unsure - the case is ambiguous/there is not enough information to decide.
NED2
Entity disambiguation (via description)
gpt-5-mini-2025-08-07
Target entity: Catmull–Rom spline Target entity description: The Catmull–Rom spline is a type of interpolating spline commonly used in computer graphics and animation to create smooth curves that pass through a given set of control points.
-
A.
Bezier curves
Bézier curves are mathematically defined parametric curves widely used in computer graphics and digital design to model smooth, scalable shapes and paths.
-
B.
B-splines
B-splines are piecewise polynomial functions widely used in computer graphics and numerical analysis to create smooth, flexible curves and surfaces controlled by a set of control points.
-
C.
Archimedes' spiral
Archimedes' spiral is a classical mathematical curve that winds outward from a fixed point at a constant rate as it revolves around that point.
-
D.
Page curve
The Page curve is a theoretical prediction in black hole physics that describes how the entanglement entropy of Hawking radiation should rise and then fall over time if black hole evaporation is ultimately unitary.
-
E.
Simpson's rule
Simpson's rule is a numerical integration technique that approximates the area under a curve by fitting parabolas through groups of data points.
- F. None of above. chosen
Statements (48)
| Predicate | Object |
|---|---|
| instanceOf |
cubic Hermite spline
ⓘ
curve modeling technique ⓘ interpolating spline ⓘ mathematical concept ⓘ parametric curve ⓘ |
| advantage |
curve passes exactly through control points
ⓘ
good default for smooth interpolation ⓘ simple to implement ⓘ |
| application |
camera path interpolation
ⓘ
curve design in CAD-like systems ⓘ keyframe interpolation ⓘ object motion paths in animation ⓘ path editing in modeling tools ⓘ trajectory planning in games ⓘ |
| canBeGeneralizedTo |
closed Catmull–Rom spline
ⓘ
Catmull–Rom spline self-linksurface differs ⓘ
surface form:
non-uniform Catmull–Rom spline
|
| continuity |
C1 continuous
ⓘ
G1 continuous ⓘ |
| curveType | smooth curve ⓘ |
| definedAs | piecewise cubic polynomial ⓘ |
| degree | cubic ⓘ |
| field |
computer animation
ⓘ
computer graphics ⓘ geometric modeling ⓘ numerical analysis ⓘ |
| namedAfter |
Edwin Catmull
ⓘ
Raphael Rom ⓘ |
| passesThrough | all control points ⓘ |
| property |
affine invariant
ⓘ
convex hull property does not generally hold ⓘ interpolating ⓘ local control ⓘ |
| relatedTo |
B-splines
ⓘ
surface form:
B-spline
Bezier curves ⓘ
surface form:
Bezier curve
Hermite interpolation ⓘ
surface form:
Hermite spline
cardinal spline ⓘ |
| representation |
explicit cubic polynomial form
ⓘ
matrix form ⓘ |
| segmentDependsOn | four consecutive control points ⓘ |
| typicalParameterization |
centripetal parameterization
ⓘ
chordal parameterization ⓘ uniform parameterization ⓘ |
| usedIn |
animation software
ⓘ
game engines ⓘ interactive curve editing ⓘ real-time rendering systems ⓘ |
| uses |
control points
ⓘ
tangent vectors derived from neighboring points ⓘ |
How these facts were elicited
The pipeline generated the facts above by prompting gpt-5.1 with this entity's name + description and the instruction below.
Instruction
You are a knowledge base construction expert. Given a subject entity and a description of it, return factual statements that you know for the subject as a JSON list of dictionaries(triples), where keys must be "subject", "predicate" and "object". The number of facts may be very high, between 25 to 50 or more, for very popular subjects. For less popular subjects, the number of facts can be very low, like 5 or 10. # Requirements - If you don't know the subject at all, return an empty list. - If the subject is not a named entity, return an empty list. - Include at least one triple where predicate is "instanceOf". - Do not get too wordy. - Separate several objects into multiple triples with one object.
Input
Subject: Catmull–Rom spline Description of subject: The Catmull–Rom spline is a type of interpolating spline commonly used in computer graphics and animation to create smooth curves that pass through a given set of control points.
Referenced by (2)
Full triples — surface form annotated when it differs from this entity's canonical label.
this entity surface form:
non-uniform Catmull–Rom spline