neurom.morphmath

Mathematical and geometrical functions used to compute morphometrics

Functions

angle_3points	compute the angle in radians between three 3D points
average_points_dist	Computes the average distance between a list of points and a given point p0.
dist_point_line	compute the orthogonal distance between from the line that goes through
interpolate_radius	Calculate the radius that corresponds to a point P that lies at a fraction of the length of a cut cone P1P2 where P1, P2 are the centers of the circles that bound the shape with radii r1 and r2 respectively.
linear_interpolate	Returns the point p satisfying: p1 + fraction * (p2 - p1)
path_distance	Compute the path distance from given set of points
path_fraction_point	Computes the point which corresponds to the fraction of the path length along the piecewise linear curve which is constructed from the set of points.
pca	Estimate the principal components of the covariance on the given point cloud
point_dist	compute the euclidian distance between two 3D points
point_dist2	compute the square of the euclidian distance between two 3D points
polygon_diameter	Compute the maximun euclidian distance between any two points
principal_direction_extent	Calculate the extent of a set of 3D points.
scalar_projection	compute the scalar projection of v1 upon v2
section_length	Compute the path distance from given set of points
segment_area	Compute the surface area of a segment.
segment_length	Return the length of a segment.
segment_length2	Return the square of the length of a segment.
segment_radial_dist	Return the radial distance of a tree segment to a given point
segment_radius	Return the mean radius of a segment
segment_taper_rate	Compute the taper rate of a segment
segment_volume	Compute the volume of a segment.
segment_x_coordinate	Return the mean x coordinate of a segment
segment_y_coordinate	Return the mean y coordinate of a segment
segment_z_coordinate	Return the mean z coordinate of a segment
sphere_area	Compute the area of a sphere with radius r
taper_rate	Compute the taper rate between points p0 and p1
vector	compute vector between two 3D points
vector_projection	compute the vector projection of v1 upon v2