shapes3d.path.BSpline3D Class Reference

Inheritance diagram for shapes3d.path.BSpline3D:

Public Member Functions
	BSpline3D (float[] x, float[] y, int nbrSlices)
	BSpline3D (float[] x, float[] y, float[] z, int nbrSlices)
	BSpline3D (List< PVector > knots, int nbrSlices)
	BSpline3D (List< PVector > knots, int nbrSlices, PathOrthogonal ortho)
	BSpline3D (PVector[] knots, int nbrSlices)
	BSpline3D (PVector[] knots, int nbrSlices, PathOrthogonal ortho)
PVector	point (float t)
PVector	tangent (float t)
Public Member Functions inherited from shapes3d.path.AbstractPath
int	nbrSlices ()
PVector	tangent (float t)
PVector	orthogonal (float t)
boolean	isOpenPath ()

Protected Attributes
BCurve3D[]	bcurve3d
float[]	tMax
float[]	tLength
Protected Attributes inherited from shapes3d.path.AbstractPath
final int	DEFAULT_NBR_SLICES = 100
final int	nbrSlices
boolean	pathIsOpen = true

Additional Inherited Members
Public Attributes inherited from shapes3d.path.AbstractPath
PathOrthogonal	orthoCalculator = null
Public Attributes inherited from shapes3d.utils.SConstants
int	WIRE = 0x00000011
int	SOLID = 0x00000012
int	TEXTURE = 0x00000014
int	DRAWALL = WIRE | SOLID | TEXTURE
int	WHITE = 0xFFFFFFFF
int	BLACK = 0xFF000000
int	GREY = 0xFFC0C0C0
int	RED = 0xFFFF0000
int	GREEN = 0xFF00FF00
int	BLUE = 0xFF0000FF
int	YELLOW = 0xFFFFFF00
int	PURPLE = 0xFFFF00FF
int	CYAN = 0xFF00FFFF
int	ORANGE = 0xFFFFC000
int	CW = 1
int	CCW = 2
int	ALL = 0b11111111
int	BOTTOM = 0b00000001
int	TOP = 0b00000010
int	FRONT = 0b00000100
int	BACK = 0b00001000
int	LEFT = 0b00010000
int	RIGHT = 0b00100000
int	BODY = 0b00000001
int	END0 = 0b00000010
int	END1 = 0b00000100
float	ONE_DEG_T = (float) (Math.PI / 180.0)
PathOrthogonal	ORTHO_X = new PathOrthogonal.PathNormalX()
PathOrthogonal	ORTHO_Y = new PathOrthogonal.PathNormalY()
PathOrthogonal	ORTHO_Z = new PathOrthogonal.PathNormalZ()
PathOrthogonal	ORTHO_A = new PathOrthogonal.PathNormalAMC()
TransformUV	ROT_0 = TransformUV.ROT0
TransformUV	ROT_90 = TransformUV.ROT90
TransformUV	ROT_180 = TransformUV.ROT180
TransformUV	ROT_270 = TransformUV.ROT270
TransformUV	FLIP_H = TransformUV.FLIPH
TransformUV	FLIP_V = TransformUV.FLIPV
Rotation	ROTATION_ZERO = new Rotation()
int	T_BOX = 0x1001
int	T_DOME = 0x1002
int	T_CONE = 0x1003
int	T_ELLIPSOID = 0x1004
int	T_EXTRUSION = 0x1005
int	T_LATHESTOCK = 0x1006
int	T_MD2 = 0x1007
int	T_SKYBOX = 0x1008
int	T_SKYDOME = 0x1009
int	T_TERRAIN = 0x100A
int	T_TUBE = 0x100B
int	C_LATHESURFACE = 0x2001
int	C_OVAL = 0x2002
int	C_POLYGON = 0x2003
int	P_BCURVE2D = 0x3001
int	P_BCURVE3D = 0x3002
int	P_BSPLINE2D = 0x3003
int	P_BSPLINE3D = 0x3004
int	P_LINEAR = 0x3005
int	P_LISSAJOUS = 0x3006
int	P_RING = 0x3007
int	P_SPIRAL = 0x3008
Protected Member Functions inherited from shapes3d.path.AbstractPath
	AbstractPath ()
	AbstractPath (int nbrSlices)

Detailed Description

This class defines a Bezier spline in 3D space that passes through a set of given points (called knots). It can also be used in 2D space by using z=0 when creating the knots.

The curve between each pair of points is a cubic Bezier curve and the controls points are calculated to give a smooth transition along the spline.

The position along the spline can be found using a parametric variable in the range ≥0 and ≤1

Based on source code found on the Internet and modified by the author to work directly with Processing. The URL for the original code has been lost).

Author

Peter Lager

Constructor & Destructor Documentation

shapes3d.path.BSpline3D.BSpline3D	(	float[]	x,
		float[]	y,
		int	nbrSlices
	)

Creates a Bezier spline using two arrays for the x and y positions for each control point (z = 0).
If the arrays passed to this constructor differ in length the extra in the longer array are ignored.

Parameters

x	array of the x values of the control point positions
y	array of the y values of the control point positions
nbrSlices	the number of slices along the curve's length Creates a Bezier spline using three arrays for the x, y and z positions for each control point. If the arrays passed to this constructor differ in length the extra in the longer array are ignored.
x	array of the x values of the control point positions
y	array of the y values of the control point positions
z	array of the z values of the control point positions
nbrSlices	the number of slices along the curve's length Create a Bezier spline that passes through the specified positions
knots	list of PVectors defining the spline.
nbrSlices	the number of slices along the length of the path
ortho	the orthogonal calculator to use Create a Bezier spline that passes through the specified positions
knots	list of PVectors defining the spline.
nbrSlices	the number of slices along the length of the path
ortho	the orthogonal calculator to use Create a Bezier spline that passes through the specified positions
knots	array of PVectors defining the spline.
nbrSlices	the number of slices along the length of the path Create a Bezier spline that passes through the specified positions
knots	array of PVectors defining the spline.
nbrSlices	the number of slices along the length of the path
ortho	the orthogonal calculator to use Creates a Bezier spline using two arrays for the x and y positions for each control point (z = 0). If the arrays passed to this constructor differ in length the extra in the longer array are ignored.
x	array of the x values of the control point positions
y	array of the y values of the control point positions
nbrSlices	the number of slices along the curve's length

shapes3d.path.BSpline3D.BSpline3D	(	float[]	x,
		float[]	y,
		float[]	z,
		int	nbrSlices
	)

Creates a Bezier spline using three arrays for the x, y and z positions for each control point.
If the arrays passed to this constructor differ in length the extra in the longer array are ignored.

Parameters

x	array of the x values of the control point positions
y	array of the y values of the control point positions
z	array of the z values of the control point positions
nbrSlices	the number of slices along the curve's length

shapes3d.path.BSpline3D.BSpline3D	(	List< PVector >	knots,
		int	nbrSlices
	)

Create a Bezier spline that passes through the specified positions

Parameters

knots	list of PVectors defining the spline.
nbrSlices	the number of slices along the length of the path
ortho	the orthogonal calculator to use

shapes3d.path.BSpline3D.BSpline3D	(	List< PVector >	knots,
		int	nbrSlices,
		PathOrthogonal	ortho
	)

Create a Bezier spline that passes through the specified positions

Parameters

knots	list of PVectors defining the spline.
nbrSlices	the number of slices along the length of the path
ortho	the orthogonal calculator to use

shapes3d.path.BSpline3D.BSpline3D	(	PVector[]	knots,
		int	nbrSlices
	)

Create a Bezier spline that passes through the specified positions

Parameters

knots	array of PVectors defining the spline.
nbrSlices	the number of slices along the length of the path

shapes3d.path.BSpline3D.BSpline3D	(	PVector[]	knots,
		int	nbrSlices,
		PathOrthogonal	ortho
	)

Create a Bezier spline that passes through the specified positions

Parameters

knots	array of PVectors defining the spline.
nbrSlices	the number of slices along the length of the path
ortho	the orthogonal calculator to use

Member Function Documentation

PVector shapes3d.path.BSpline3D.point ( float  t )

virtual

Method defines the function V = pos(t) where t is in the range ≥0.0 and ≤1.0

Parameters

t	parametric value ≥0.0 and ≤1.0

Returns

a PVector giving the x,y,z coordinates at a position t

Implements shapes3d.path.AbstractPath.

PVector shapes3d.path.BSpline3D.tangent

(

float

t

)

Method defines the function V = tangent(t) where t is in the range≥0.0 and ≤1.0

Parameters

t	parametric value ≥0.0 and ≤1.0

Returns

a PVector giving the x,y,z coordinates of the tangent at position t

Implements shapes3d.path.Path.

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

• /Users/peter/git/shapes3d-repos/Shapes 3D/src/shapes3d/path/BSpline3D.java