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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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surface displaystyle mathbf form fundamental first parametric second vector given tangent curvature plane parametrization area principal point surfaces two normal
| Subject | Predicate | Object | Confidence | Src |
|---|---|---|---|---|
| Parametric surface | is a | surface in the Euclidean space R 3 | 0.90 | text |
| the first | instance of | differential geometric invariants | 0.80 | text |
| second fundamental forms | instance of | differential geometric invariants | 0.80 | text |
| Gaussian | instance of | differential geometric invariants | 0.80 | text |
| mean | instance of | differential geometric invariants | 0.80 | text |
| and principal curvatures can all be computed from a given parametrization | instance of | differential geometric invariants | 0.80 | text |
| Parametric surface | related to Examples | The | 0.60 | section |
| Parametric surface | related to Examples | Given | 0.60 | section |
| Parametric surface | related to Examples | Surfaces | 0.60 | section |
| Parametric surface | related to Examples | If | 0.60 | section |
| Parametric surface | related to Examples | It | 0.60 | section |
| Parametric surface | related to Examples | Using | 0.60 | section |
These clusters group vocabulary that occurs around closely connected concepts in the source material.
Bridges can reveal useful research angles that are easy to miss in a flat list of related terms.