Common Forms for Complex Hierarchical and Relational Data Structures
ARC model
Dplyr methods for silicate objects
PATH model.
Path model in structural form
Pipe operator
Plot silicate
Methods for silicate
The universal model
Arc-node topology.
Silicate colours
Coordinate decomposition
Edges.
Nodes for arc-node topology.
Objects, features
Path decomposition
Given a `PATH`` model decompose to 1-dimensional primitives (or 0-dime...
Unique labels
Extract unique vertices
Pure edge model, structural form
silicate
TRI model, triangulations
Area of triangles
TRI0 model, structural triangulations
Generate common data forms for complex data suitable for conversions and transmission by decomposition as paths or primitives. Paths are sequentially-linked records, primitives are basic atomic elements and both can model many forms and be grouped into hierarchical structures. The universal models 'SC0' (structural) and 'SC' (labelled, relational) are composed of edges and can represent any hierarchical form. Specialist models 'PATH', 'ARC' and 'TRI' provide the most common intermediate forms used for converting from one form to another. The methods are inspired by the simplicial complex <https://en.wikipedia.org/wiki/Simplicial_complex> and provide intermediate forms that relate spatial data structures to this mathematical construct.