Manifold Attribute
| Tag | (0066,0010) |
|---|---|
| Type | Required (1) |
| Keyword | Manifold |
| Value Multiplicity | 1 |
| Value Representation | Code String (CS) |
Indicates whether the surface is describing an n-1 dimensional manifold in the underlying n-dimensional vector space.
Enumerated Values:
- YES
-
Manifold in every point
- NO
-
Does contain non-manifold points
- UNKNOWN
-
Might or might not contain non-manifold points
See Section C.27.1.1.5.
Section C.27.1.1.5
C.27.1.1.5 Manifold
The Manifold (0066,0010) Attribute shall be YES when the surface mesh is a manifold.
A surface embedded into an n-dimensional vector space is called an n-1 manifold if it resembles an n-1 dimensional Euclidean space in a neighborhood of every point lying on the surface. This means that every point has a neighborhood for which there exists a homeomorphism mapping that neighborhood to the n-1 dimensional Euclidean space.
A sphere in 3-space is a 2-dimensional manifold: Every point has a neighborhood that looks like a plane.
Figure C.27.1.1-2 shows examples of a surface that is not a manifold is given below:
Figure C.27.1.1-2. Manifold Illustration
A value of NO indicates that the surface is not a manifold.
A value of UNKNOWN indicates that the transmitting application did not determine if the surface is a manifold.