#
JJ Surface Mesh Representation (Informative)

For a general introduction into the underlying principles used in the Surface Mesh Module see:

Foley & van Dam [et al],
Computer Graphics: Principles and Practice, Second Edition, Addison-Wesley, 1990.

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JJ.1 Multi-Dimensional Vectors

The dimensionality of the Vectors Macro (Section C.27.3 in PS3.3
) is not restricted to accommodate broader use of this macro in the future. Usage beyond 3-dimensional Euclidean geometry is possible The Vectors Macro may be used to represent any multi-dimensional numerical entity, like a set of parameters that are assigned to a voxel in an image or a primitive in a surface mesh.

Examples:

In electroanatomical mapping, one or more tracked catheters are used to sample the electrophysiological parameters of the inner surface of the heart. Using magnetic tracking information, a set of vertices is generated according to the positions the catheter was moved to during the examination. In addition to its 3D spatial position each vertex is loaded with a 7D-Vector containing the time it was measured at, the direction the catheter pointed to, the maximal potential measured in that point, the duration of that potential and the point in time (relative to the heart cycle) the potential was measured.

For biomechanical simulation the mechanical properties of a vertex or voxel can be represented with a n-dimensional vector.