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Parametric surface

A parametric surface is a surface in the Euclidean space R 3 {\displaystyle \mathbb {R} ^{3}} which is defined by a parametric equation with two parameters ⁠ r : R 2 → R 3 {\displaystyle \mathbf {r} :\mathbb {R} ^{2}\to \mathbb {R} ^{3}} ⁠. Parametric representation is a very general way to specify a surface, as well as implicit representation. Surfaces…

Measurement, Local differential geometry & Examples

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Examples

Local differential geometry

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Map overview Semantic statistics

Parametric surface

Nodes61
Edges60
Triples26
Avg. degree1.97
Density0.032787
Components1

How this topic connects Entity context

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Parametric surface

Top relations

related to Examples · 8
Parametric surface → For, Given, If, It, Surfaces, The, This, Using
related to Second fundamental form · 5
Parametric surface → For, In, Its, Taylor, The
related to Notation · 3
Parametric surface → In, Let, The
related to External links · 2
Parametric surface → ART, Java
related to Local differential geometry · 2
Parametric surface → Taylor, The
is a · 1
Parametric surface → surface in the Euclidean space R 3

Important terminology Word statistics

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Important terminology

surface displaystyle mathbf form fundamental first parametric second vector given tangent curvature plane parametrization area principal point surfaces two normal

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Parametric surfaceis asurface in the Euclidean space R 30.90text
the firstinstance ofdifferential geometric invariants0.80text
second fundamental formsinstance ofdifferential geometric invariants0.80text
Gaussianinstance ofdifferential geometric invariants0.80text
meaninstance ofdifferential geometric invariants0.80text
and principal curvatures can all be computed from a given parametrizationinstance ofdifferential geometric invariants0.80text
Parametric surfacerelated to ExamplesThe0.60section
Parametric surfacerelated to ExamplesGiven0.60section
Parametric surfacerelated to ExamplesSurfaces0.60section
Parametric surfacerelated to ExamplesIf0.60section
Parametric surfacerelated to ExamplesIt0.60section
Parametric surfacerelated to ExamplesUsing0.60section

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    Min side: 3
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