First test with applymodifier.
The modifier has a lot of bugs.

Clean code.
Completed all methods to compute flow lines.

Methods to find flow lines that are near.

New files to organize the code
Several structures for produce new mesh.
Several methods to compute the seeds, and accelerate the queries of nears flow lines.

method to compute sampling distance functions

Add two buttons on modifier, first button to compute flow. second button to remeshing.

Exhaustive method for calculating the path of the flow line.
More comparisons on the scale to avoid vector field calculation is performed.
Method to compute a random point, P, uniformly from within triangle ABC, method given by Robert Osada, Thomas Funkhouser, Bernard Chazelle, and David Dobkin. 2002. Shape distributions. ACM Trans. Graph. 21, 4 (October 2002), 807-832. DOI=10.1145/571647.571648 http://doi.acm.org/10.1145/571647.571648

Method to store a map of edges around vertex.
Method to project a gradient field vector on a plane defined by face for define the direction of flow line over this face.
Method to intersect a face with line projected from seed point on gradient direction.

Warnings fixed, about non used variables.

Method for choose face that serve to build a line gradient flow
Method to project vector field on certain face and intersect this with adjacent edges.
Fixed problem about computation of gradient field vector, i misinterpreted the matrix representation.