Lines3

class sonic.Lines3

Bases: sonic.GeometryP3

Constructor Summary

Lines3(varargin)

Container for Lines in P3. Can hold a multitude of lines, and can be parameterized by Plucker coordinates, Plucker matrices, or points and directions. See Inputs for details.

Inputs:

• plucker_coords (6xn double): A set of Plucker coordinates defining n lines in P3. Each column corresponds to a line.

OR

• plucker_mtx (4x4xn double): A set of Plucker matrices defining n lines in P3. Each 4x4 matrix corresponds to a line.

OR

• points (3xn double): A set of n points, where the n-th line passes through the n-th point.

• direc (3xn double): A set of n unit vectors, where the n-th line is parallel to this unit vector.

Outputs:

• obj (1x1 sonic.Lines3): Lines3 object, containing information about n lines.

Last revised: 4/08/24 Last author: Michael Krause

Property Summary

direction

moment

Can extract moment and direction of a line from the Plucker coordinates as well:

n

Number of lines represented in this object:

plucker

Primarily encoding these lines in Plucker coords:

plucker_dual

Dual is just flip of Plucker coords:

plucker_mtx

Matrix is calculated from the Plucker coords on the fly:

plucker_mtx_dual

Matrix dual is calculated from the Plucker dual coords on the fly: