get.quantity.of.information: Get the quantity of information associated with each element...

In meshsimp: Simplification of Surface Triangular Meshes with Associated Distributed Data

Description

For each triangle T in the mesh, the associated quantity of information N_T is defined as:

N_T := n_f + \frac{1}{2}n_e + \frac{1}{\# \big( T_{v_1} \big)} n_1 + \frac{1}{\# \big( T_{v_2} \big)} n_2 + \frac{1}{\# \big( T_{v_3} \big)} n_3 \, ,

where n_f and n_e denote the number of data points associated with the face and the edges of the triangle T, respectively. For j = 1, \, 2, \, 3, n_j is the number of data points associated with the j-th vertex v_j of T, T_{v_j} is the patch of elements associated with v_j (i.e., the elements sharing v_j), and \# \big( T_{v_j} \big) denotes the cardinality of the patch T_{v_j}.

Usage

get.quantity.of.information(x)

Arguments

x	An object of class RcppSimplification.

Value

A #elements-by-1 vector, storing the quantity of information for each element.

See Also

simplify.mesh.2.5D

meshsimp documentation built on June 20, 2017, 9:05 a.m.