The SEDRIS Data Representation Model
APPENDIX B - Constraints
Contained Node Constraints

Definition

The following constraints apply to instances of <Feature Node>/<Geometry Node> that are contained within an instance of <Feature Face>/<Geometry Face> or <Feature Volume>/<Geometry Volume>, respectively:

  1. A <Feature Face> instance F shall have the following relationship with its associated <Feature Node> instances, if any exist.

    1. At any feature topology level, if F is associated with any <Feature Node> instance N, N shall lie within the external ring of F, if any, and shall not lie within any of the internal rings of F, if any.

    2. At feature topology levels 3 and higher, if a <Feature Node> instance N lies within the boundaries of F, N shall be associated with F.

    3. At any feature topology level, if no <Feature Node> instances lie within its boundaries, F shall not be associated with any <Feature Node> instances.

  2. A <Feature Volume> instance V shall have the following relationship with its associated <Feature Node> instances, if any exist.

    1. At any feature topology level, if V is associated with any <Feature Node> instance N, N shall lie completely within the external shell of V, if any, and shall not lie within any of the internal shells of V, if any.

    2. At feature topology levels 5 and higher, if a <Feature Node> instance N lies within the boundaries of V, N shall be associated with V.

    3. At any feature topology level, if no <Feature Node> instances lie within its boundaries, V shall not be associated with any <Feature Node> instances.

  3. A <Geometry Face> instance F shall have the following relationship with its associated <Geometry Node> instances, if any exist.

    1. At any geometry topology level, if F is associated with any <Geometry Node> instance N, N shall lie within the interior of F.

    2. At geometry topology levels 3 and higher, if a <Geometry Node> instance N lies within the interior of F, N shall be associated with F.

    3. At any geometry topology level, if no <Geometry Node> instances lie within its interior, F shall not be associated with any <Geometry Node> instances.

  4. A <Geometry Volume> instance V shall have the following relationship with its associated <Geometry Node> instances, if any exist.

    1. At any geometry topology level, if V is associated with any <Geometry Node> instance N, N shall lie within the interior of V.

    2. At geometry topology levels 5 and higher, if a <Geometry Node> instance N lies within the interior of V, N shall be associated with V.

    3. At any geometry topology level, if no <Geometry Node> instances lie within its interior, V shall not be associated with any <Geometry Node> instances.

Rationale

The associations between <Feature Node> and <Feature Face>, and between <Feature Node> and <Feature Volume>, implement containment relationships. These topological relationships must be consistent, and must be consistent with the geometric representations of these objects.

The associations between <Geometry Node> and <Geometry Face>, and between <Geometry Node> and <Geometry Volume>, implement containment relationships. These topological relationships must be consistent, and must be consistent with the geometric counterparts of these objects.

Example

  1. Consider a <Feature Node> instance N1 that is "floating" within the interior of a <Feature Volume> instance V1. N1 is contained within V1, and V1 contains N1.

  2. Consider a <Geometry Node> instance N1 that is "floating" within the interior of a <Geometry Volume> instance V1. N1 is contained within V1, and V1 contains N1.

FAQs

Can a <Feature Node> instance N that is contained within the interior of a <Feature Face> instance F also be connected to a <Feature Edge> instance E?

Yes, provided that E does not bound F. This is only possible within a 3D SRF.

Can a <Geometry Node> instance N that is contained within the interior of a <Geometry Face> instance F also be connected to a <Geometry Edge> instance E?

Yes, provided that E does not bound F. This is only possible within a 3D SRF.

Can a <Feature Node> instance N that is contained within the interior of a <Feature Volume> instance V also be connected to a <Feature Edge> instance E?

Yes, provided that E does not bound any of the <Feature Face> instances that in turn bound V.

Can a <Geometry Node> instance N that is contained within the interior of a <Geometry Volume> instance V also be connected to a <Geometry Edge> instance E?

Yes, provided that E does not bound any of the <Geometry Face> instances that in turn bound V.


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Last updated: July 26, 2006 Copyright © 2006 SEDRIS