Coons patch
E680186
Coons patch is a mathematical surface representation used in computer-aided geometric design to smoothly interpolate between boundary curves.
All labels observed (1)
| Label | Occurrences |
|---|---|
| Coons patch canonical | 1 |
How this entity was disambiguated
This entity first appeared as the object of triple T7646118 — 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: Coons patch Context triple: [Steven Anson Coons, knownFor, Coons patch]
-
A.
Blue Eagle
Blue Eagle was the emblematic symbol used in the United States during the New Deal era to signify businesses' compliance with National Recovery Administration codes and policies.
-
B.
La Bicolor
La Bicolor is the popular nickname of the Guatemala national football team, referring to its traditional two-colored kit.
-
C.
Pecora
Pecora is a major infraorder of ruminant mammals that includes deer, giraffes, bovids (such as cattle, goats, and antelopes), and related horned or antlered species.
-
D.
Three Flags
Three Flags is a 1958 painting by Jasper Johns featuring three superimposed American flags that became an iconic example of his exploration of everyday symbols in modern art.
-
E.
The Flag
"The Flag" is a lesser-known work associated with British actor Robert Shaw, who is best remembered for his roles in films like "Jaws," "From Russia with Love," and "The Sting."
- 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: Coons patch Target entity description: Coons patch is a mathematical surface representation used in computer-aided geometric design to smoothly interpolate between boundary curves.
-
A.
Blue Eagle
Blue Eagle was the emblematic symbol used in the United States during the New Deal era to signify businesses' compliance with National Recovery Administration codes and policies.
-
B.
La Bicolor
La Bicolor is the popular nickname of the Guatemala national football team, referring to its traditional two-colored kit.
-
C.
Pecora
Pecora is a major infraorder of ruminant mammals that includes deer, giraffes, bovids (such as cattle, goats, and antelopes), and related horned or antlered species.
-
D.
Three Flags
Three Flags is a 1958 painting by Jasper Johns featuring three superimposed American flags that became an iconic example of his exploration of everyday symbols in modern art.
-
E.
The Flag
"The Flag" is a lesser-known work associated with British actor Robert Shaw, who is best remembered for his roles in films like "Jaws," "From Russia with Love," and "The Sting."
- F. None of above. chosen
Statements (47)
| Predicate | Object |
|---|---|
| instanceOf |
geometric modeling technique
ⓘ
mathematical concept ⓘ surface representation ⓘ |
| advantage |
intuitive geometric control via curves
ⓘ
simple formulation from boundary data ⓘ |
| application |
aerospace surface modeling
ⓘ
automotive body design ⓘ computer animation modeling ⓘ industrial design ⓘ surface design in CAD ⓘ |
| basedOn |
bilinear interpolation
ⓘ
blending functions ⓘ |
| category |
interpolatory surface
ⓘ
parametric surface patch ⓘ |
| component |
bilinear correction term
ⓘ
corner interpolation terms ⓘ two pairs of opposite boundary curves ⓘ |
| domain | parametric surface ⓘ |
| field |
computational geometry
ⓘ
computer graphics ⓘ computer-aided geometric design ⓘ geometric modeling ⓘ |
| goal | achieve smooth surface continuity across patches ⓘ |
| hasProperty |
can be extended to higher-order patches
ⓘ
can be generalized to bicubic Coons patches ⓘ defined over a parametric domain ⓘ exactly matches boundary curves at edges ⓘ interpolates all boundary curves ⓘ provides smooth surface transitions ⓘ |
| introducedIn | 1960s ⓘ |
| limitation |
may produce non-uniform parameterization
ⓘ
quality depends on boundary curve compatibility ⓘ |
| mathematicalNature | bilinearly blended surface ⓘ |
| namedAfter | Steven A. Coons ⓘ |
| purpose |
construct surfaces from boundary data
ⓘ
smoothly interpolate between boundary curves ⓘ |
| relatedTo |
B-spline surface
ⓘ
linked to:
B-splines
Bézier surface ⓘ Gordon surface ⓘ NURBS surface ⓘ |
| requires | continuity conditions along shared boundaries ⓘ |
| typicalDomain | unit square in parameter space ⓘ |
| usedFor |
constructing surface patches in a network
ⓘ
interpolating four boundary curves ⓘ |
| uses |
bilinear blending
ⓘ
boundary curves ⓘ interpolation of curves ⓘ |
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: Coons patch Description of subject: Coons patch is a mathematical surface representation used in computer-aided geometric design to smoothly interpolate between boundary curves.
Referenced by (1)
Full triples — surface form annotated when it differs from this entity's canonical label.