pancake.basecurve.RigidTransform Class Reference

Inheritance diagram for pancake.basecurve.RigidTransform:

Collaboration diagram for pancake.basecurve.RigidTransform:

Public Member Functions
	__init__ (self, Basecurve curve, R=None, d=None)
	r (self, t)
	v (self, t)
	a (self, t)
	b (self, t)
	frame (self, t)
	curvatures (self, t)
	equidistant (self, n)
Public Member Functions inherited from pancake.basecurve.Basecurve
	__init__ (self, float tmin=0.0, float tmax=1.0)
float	speed (self, float t)
float	segment_length (self, float ta, float tb, int nsub=1)
float	length (self)
np.ndarray	sample (self, int n)
	kappa_tau (self, float t)
	twisted_frame (self, float t, float theta_T=0.0)
np.ndarray	transform (self, float t, float theta_T=0.0)
	strip_curvatures (self, float t, float theta_T=0.0, float dtheta_T_ds=0.0)
np.ndarray	darboux (self, float t)

Public Attributes
	curve = curve
	R = np.eye(3) if R is None else np.asarray(R, dtype=float)
	d = np.zeros(3) if d is None else np.asarray(d, dtype=float)
Public Attributes inherited from pancake.basecurve.Basecurve
	tmin = float(tmin)
	tmax = float(tmax)
np.ndarray	t = None

Additional Inherited Members
Protected Member Functions inherited from pancake.basecurve.Basecurve
int	_nsub_default (self)

Detailed Description

Curve obtained from another one by a rotation R and a translation d: r* = R r + d.

Constructor & Destructor Documentation

__init__()

pancake.basecurve.RigidTransform.__init__	(		self,
		Basecurve	curve,
			R = None,
			d = None )

Member Function Documentation

a()

pancake.basecurve.RigidTransform.a	(		self,
			t )

Reimplemented from pancake.basecurve.Basecurve.

b()

pancake.basecurve.RigidTransform.b	(		self,
			t )

Reimplemented from pancake.basecurve.Basecurve.

curvatures()

pancake.basecurve.RigidTransform.curvatures	(		self,
			t )

Curvature parameters (tau, kappa_g, kappa_n) of the frame returned by `frame`.

For the Frenet frame this is (tau, 0, kappa), Eq. (3.30).

Reimplemented from pancake.basecurve.Basecurve.

equidistant()

pancake.basecurve.RigidTransform.equidistant	(		self,
			n )

Parameters t_0..t_{n-1} such that the arc length between neighbours is constant.

Reimplemented from pancake.basecurve.Basecurve.

frame()

pancake.basecurve.RigidTransform.frame	(		self,
			t )

Strip frame (T, n, b).  Default: Frenet frame (T, N, B), Eq. (3.29).

Reimplemented from pancake.basecurve.Basecurve.

r()

pancake.basecurve.RigidTransform.r	(		self,
			t )

Reimplemented from pancake.basecurve.Basecurve.

v()

pancake.basecurve.RigidTransform.v	(		self,
			t )

Reimplemented from pancake.basecurve.Basecurve.

Member Data Documentation

curve

pancake.basecurve.RigidTransform.curve = curve

d

pancake.basecurve.RigidTransform.d = np.zeros(3) if d is None else np.asarray(d, dtype=float)

R

pancake.basecurve.RigidTransform.R = np.eye(3) if R is None else np.asarray(R, dtype=float)

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

• examples/pancake/python/pancake/basecurve.py