maspack.matrix

Class Point3d

java.lang.Object

maspack.matrix.VectorBase

maspack.matrix.Vector3d

maspack.matrix.Point3d

All Implemented Interfaces:

java.io.Serializable, java.lang.Cloneable, Vector, Clonable

Direct Known Subclasses:

CubaturePoint3d, IntersectionPoint

public class Point3d
extends Vector3d

A 3D spatial point. The only difference between a point and a vector is in the the way it is transformed by an affine transformation. In homogeneous coordinates, a point is assigned a 1 in for its fourth entry, so the affine transformation of a point takes the form
A p + b

See Also:

Serialized Form

Field Summary

Fields

Modifier and Type	Field and Description
static Point3d	NEGATIVE_INFINITY
static Point3d	POSITIVE_INFINITY
static Point3d	ZERO Global zero point.

Fields inherited from class maspack.matrix.Vector3d

NEG_X_UNIT, NEG_Y_UNIT, NEG_Z_UNIT, ONES, x, X_UNIT, y, Y_UNIT, z, Z_UNIT

Constructor Summary

Constructors

Constructor and Description
Point3d() Creates a Point3d and initializes it to zero.
Point3d(double[] values) Creates a Point3d with the supplied element values.
Point3d(double x, double y, double z) Creates a Point3d with the supplied element values.
Point3d(Point3d v) Creates a Point3d by copying a Point3d
Point3d(Vector v) Creates a Point3d by copying an existing Vector.
Point3d(Vector3d v) Creates a Point3d by copying a vector

Method Summary

Modifier and Type	Method and Description
void	inverseTransform(AffineTransform3dBase X) Applies an inverse affine transformation to this point, in place.
void	inverseTransform(AffineTransform3dBase X, Vector3d p1) Applies an inverse affine transformation to the point p1, and places the result in this vector.
void	transform(AffineTransform3dBase X) Applies an affine transformation to this point, in place.
void	transform(AffineTransform3dBase X, Vector3d p1) Applies an affine transformation to the point p1, and places the result in this point.

Methods inherited from class maspack.matrix.Vector3d

absolute, absolute, add, add, add, angle, angleWeightedCross, angleWeightedCrossAdd, clone, combine, cross, cross, crossAdd, distance, distanceSquared, dot, epsilonEquals, equals, get, get, get, get, get, greater, greaterEquals, hermiteInterpolate, hermiteVelocity, infinityNorm, interpolate, interpolate, inverseTransform, inverseTransform, main, max, maxAbsIndex, maxElement, min, minAbsIndex, minElement, mul, mulAdd, mulTranspose, mulTransposeAdd, negate, negate, norm, normalize, normalize, normSquared, oneNorm, perpendicular, scale, scale, scale, scaledAdd, scaledAdd, scan, set, set, set, set, set, set, set, set, setFromHomogeneous, setRandom, setRandom, setRandom, setZero, size, sort, sort, sortAbsolute, sub, sub, transform, transform, triangleArea, updateBounds, write

Methods inherited from class maspack.matrix.VectorBase

containsNaN, copy, copyAndAdd, copyAndNegate, copyAndScale, copyAndSub, copyAndSubLeft, dot, epsilonEquals, equals, get, getDefaultFormat, hasNaN, isColumnVectorStringsVertical, isFixedSize, isRowVector, set, set, setColumnVectorStringsVertical, setDefaultFormat, setRowVector, setSize, toString, toString, toString, write

Methods inherited from class java.lang.Object

equals, getClass, hashCode, notify, notifyAll, wait, wait, wait

Field Detail

ZERO

public static final Point3d ZERO

Global zero point. Should not be modified.

POSITIVE_INFINITY

public static final Point3d POSITIVE_INFINITY

NEGATIVE_INFINITY

public static final Point3d NEGATIVE_INFINITY

Constructor Detail

Point3d

public Point3d()

Creates a Point3d and initializes it to zero.

Point3d

public Point3d(Point3d v)

Creates a Point3d by copying a Point3d

Parameters:

v - point to be copied

Point3d

public Point3d(Vector3d v)

Creates a Point3d by copying a vector

Parameters:

v - vector to be copied

Point3d

public Point3d(Vector v)

Creates a Point3d by copying an existing Vector. The size of the copied vector must be at least 3.

Parameters:

v - vector to be copied

Point3d

public Point3d(double[] values)

Creates a Point3d with the supplied element values.

Parameters:

values - element values

Point3d

public Point3d(double x,
               double y,
               double z)

Creates a Point3d with the supplied element values.

Parameters:

x - first element

y - second element

z - third element

Method Detail

transform

public void transform(AffineTransform3dBase X)

Applies an affine transformation to this point, in place.

Overrides:

transform in class Vector3d

Parameters:

X - affine transformation

transform

public void transform(AffineTransform3dBase X,
                      Vector3d p1)

Applies an affine transformation to the point p1, and places the result in this point.

Overrides:

transform in class Vector3d

Parameters:

X - affine transformation

p1 - point to be transformed

inverseTransform

public void inverseTransform(AffineTransform3dBase X)

Applies an inverse affine transformation to this point, in place.

Overrides:

inverseTransform in class Vector3d

Parameters:

X - affine transformation

inverseTransform

public void inverseTransform(AffineTransform3dBase X,
                             Vector3d p1)

Applies an inverse affine transformation to the point p1, and places the result in this vector.

Overrides:

inverseTransform in class Vector3d

Parameters:

X - affine transformation

p1 - point to be transformed