Ellipsoid Class Reference

Inheritance diagram for Ellipsoid:

Public Member Functions
def	__init__
	Class Constructor Creates an ellipsoid with given charachteristic matrix A and center. More...
def	volume
def	min_dist
def	max_dist
def	possess

Public Attributes
	M
	center
	a
	b
	c
	R

Detailed Description

Definition at line 835 of file geometry.py.

Constructor & Destructor Documentation

def __init__	(		self,
			M = np.eye(3),
			center = Point_3D(pos = np.zeros(3))
	)

Class Constructor Creates an ellipsoid with given charachteristic matrix A and center.

The equation of the ellipsoid is given as: $$ **(x - c)**^T M **(x - c)** $$

Parameters

M	A numpy square matrix representing the charachteristic matrix of the ellipsoid.
center	An instance of class Point_3D() specifying the ellipsoid center For example to have a non-rotated ellipsoid centered at the origin with equation: x^2/a^2 + y^2/b^2 + z^2/c^2 = 1 Arguments M and center must be selected as: [ a^(-2) 0 0 ] M = [ 0 b^(-2) 0 ] [ 0 0 c^(-2) ] center = (0, 0, 0)

Definition at line 843 of file geometry.py.

Member Function Documentation

def max_dist	(		self,
			point
	)

Definition at line 881 of file geometry.py.

def min_dist	(		self,
			point
	)

Definition at line 872 of file geometry.py.

def possess	(		self,
			point
	)

Definition at line 890 of file geometry.py.

def volume

(

self

)

Definition at line 869 of file geometry.py.

Member Data Documentation

a

Definition at line 864 of file geometry.py.

b

Definition at line 865 of file geometry.py.

c

Definition at line 866 of file geometry.py.

center

Definition at line 863 of file geometry.py.

M

Definition at line 862 of file geometry.py.

R

Definition at line 867 of file geometry.py.

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The documentation for this class was generated from the following file:

• geometry.py