triSht.RdR object that represents the triangulation of a set of 2D points,
generated by tri.mesh.
Number of nodes
\(x\) coordinates of the triangulation nodes
\(y\) coordinates of the triangulation nodes
number of triangles
Matrix of indices which defines the triangulation, each row corresponds to a triangle.
Columns i1, i2, i3 of the row \(i\) contain
the node indices defining the \(i\)th triangle.
Columns j1, j2, j3 of the row \(i\) contain
the indices of neighbour triangles (or 0 if no neighbour available
along the convex hull).
Columns k1, k2, k3 of the row \(i\) contain
the indices of the arcs of the \(i\)th triangle as returned by the
arcs function.
Matrix describing the circumcircles and triangles.
Columns x and y contain coordinates of the
circumcircle centers, r is the circumcircle radius.
area is the triangle area and ratio is the ratio of
the radius of the inscribed circle to the circumcircle radius. It
takes it maximum value 0.5 for an equilateral triangle.
The radius of the inscribed circle can be get via \(r_i=\frac{r}{ratio}\).
number of points on the convex hull
A vector containing the indices of nodes forming the convec hull (in counterclockwise ordering).
number of arcs forming the triangulation
A matrix with node indices describing the arcs, contains
two columns from and to.
call, which generated this object
This object is not backward compatible with tri objects generated
from package tripack but the functions and methods are! So you
have to regenerate these objects and then you can continue to use the
same calls as before.
The only difference is that no constraints to the triangulation are
possible in package interp.
Function triSht2tri provides an option to convert this object into
the older form from package tripack, but it will not generate exact
copies as if the object would have been created with tripack::tri.mesh!
The old data structure consists of three lists describing adjacency lists
of triangulation nodes in counterclockwise order, the translation function
only genrates such a valid (but not unique) description.