A triangulation object
R object that represents the triangulation of a set of 2D points,
generated by tri.mesh
or add.constraint
.
- Keywords
- spatial
Arguments
- n
Number of nodes
- x
x coordinates of the triangulation nodes
- y
y coordinates of the triangulation nodes
- tlist
Set of nodal indexes which, along with
tlptr
,tlend
, andtlnew
, define the triangulation as a set of \(n\) adjacency lists -- counterclockwise-ordered sequences of neighboring nodes such that the first and last neighbors of a boundary node are boundary nodes (the first neighbor of an interior node is arbitrary). In order to distinguish between interior and boundary nodes, the last neighbor of each boundary node is represented by the negative of its index.- tlptr
Set of pointers in one-to-one correspondence with the elements of
tlist
.tlist[tlptr[i]]
indexes the node which followstlist[i]
in cyclical counterclockwise order (the first neighbor follows the last neighbor).- tlend
Set of pointers to adjacency lists.
tlend[k]
points to the last neighbor of node \(k\) for \(k = 1,...,n\). Thus,tlist[tlend[k]]
<0 if and only if \(k\) is a boundary node.- tlnew
Pointer to the first empty location in
tlist
andtlptr
(list length plus one).- nc
number of constraints
- lc
starting indices of constraints in
x
andy
- call
call, which generated this object
Note
The elements tlist
, tlptr
, tlend
and tlnew
are mainly intended for internal use in the appropriate Fortran
routines.
References
R. J. Renka (1996). Algorithm 751: TRIPACK: a constrained two-dimensional Delaunay triangulation package. ACM Transactions on Mathematical Software. 22, 1-8.