Theory - akilmarshall/procedural-image-generation GitHub Wiki
$\mathbb{I}$
denotes a tiled image, that is an image composed of a tile sheet
also known as a tile set.
$\mathbb{T}$
denotes the tile sheet of $\mathbb{I}$
,
\mathbb{T} = \{t_1, t_2, \cdots{}, t_n\}
each tile set $\mathbb{T}$
contains $n$
items each denoted $t_i$
where
$1\leq i \leq n$
.
Neighbor Function
Each image $\mathbb{I}$
also has an associated neighbor function,
\mathcal{N}_{\mathbb{I}}::t\to d\to \left[t\right],
that takes a tile and a direction and returns a list of the tiles seen adjacent
in the specified direction $\mathbb{D}=\{0, 1, 2, 3\}$
.
Tiled Image Statistics
Together $(\mathbb{I}, \mathbb{T}, \mathcal{N})$
can be called
tiled image statistics (TIS).