Uses of Class
org.episteme.core.mathematics.geometry.PointND

Packages that use PointND

Package	Description
org.episteme.core.mathematics.analysis.vectorcalculus
org.episteme.core.mathematics.geometry
org.episteme.core.mathematics.geometry.curves
org.episteme.core.mathematics.geometry.surfaces

Uses of PointND in org.episteme.core.mathematics.analysis.vectorcalculus

Methods in org.episteme.core.mathematics.analysis.vectorcalculus that return types with arguments of type PointND

Modifier and Type	Method	Description
static VectorField<PointND>	Curl.asField(VectorField<PointND> field, Real h)	Returns a vector field representing the curl of the input field.
static ScalarField<PointND>	Divergence.asField(VectorField<PointND> field, Real h)	Returns a scalar field representing the divergence of the vector field.
static VectorField<PointND>	Gradient.asField(ScalarField<PointND> field, Real h)	Returns a vector field representing the gradient of the scalar field.
static ScalarField<PointND>	Laplacian.asField(ScalarField<PointND> field, Real h)	Returns a scalar field representing the Laplacian of the input field.

Methods in org.episteme.core.mathematics.analysis.vectorcalculus with parameters of type PointND

Modifier and Type	Method	Description
static Vector<Real>	Curl.compute(VectorField<PointND> field, PointND point, Real h)	Computes the curl of a 3D vector field at a point.
static Real	Divergence.compute(VectorField<PointND> field, PointND point, Real h)	Computes the divergence of a vector field at a point using finite differences.
static Vector<Real>	Gradient.compute(ScalarField<PointND> field, PointND point, Real h)	Computes the gradient of a scalar field at a point using finite differences.
static Real	Laplacian.compute(ScalarField<PointND> field, PointND point, Real h)	Computes the Laplacian of a scalar field at a point.
static Vector<Real>	Laplacian.computeVector(VectorField<PointND> field, PointND point, Real h)	Computes the vector Laplacian of a vector field.

Method parameters in org.episteme.core.mathematics.analysis.vectorcalculus with type arguments of type PointND

Modifier and Type	Method	Description
static VectorField<PointND>	Curl.asField(VectorField<PointND> field, Real h)	Returns a vector field representing the curl of the input field.
static ScalarField<PointND>	Divergence.asField(VectorField<PointND> field, Real h)	Returns a scalar field representing the divergence of the vector field.
static VectorField<PointND>	Gradient.asField(ScalarField<PointND> field, Real h)	Returns a vector field representing the gradient of the scalar field.
static ScalarField<PointND>	Laplacian.asField(ScalarField<PointND> field, Real h)	Returns a scalar field representing the Laplacian of the input field.
static Vector<Real>	Curl.compute(VectorField<PointND> field, PointND point, Real h)	Computes the curl of a 3D vector field at a point.
static Real	Divergence.compute(VectorField<PointND> field, PointND point, Real h)	Computes the divergence of a vector field at a point using finite differences.
static Vector<Real>	Gradient.compute(ScalarField<PointND> field, PointND point, Real h)	Computes the gradient of a scalar field at a point using finite differences.
static Real	Laplacian.compute(ScalarField<PointND> field, PointND point, Real h)	Computes the Laplacian of a scalar field at a point.
static Vector<Real>	Laplacian.computeVector(VectorField<PointND> field, PointND point, Real h)	Computes the vector Laplacian of a vector field.

Uses of PointND in org.episteme.core.mathematics.geometry

Classes in org.episteme.core.mathematics.geometry that implement interfaces with type arguments of type PointND

Modifier and Type	Class	Description
class	Hyperplane	Represents an N-dimensional hyperplane.
class	LineND	Represents an N-dimensional line.
class	PointND	Represents an N-dimensional point.
class	PointND	Represents an N-dimensional point.
class	SegmentND	Represents an N-dimensional line segment.

Methods in org.episteme.core.mathematics.geometry that return PointND

Modifier and Type	Method	Description
PointND	LineND.at(Real t)	Evaluates the line at parameter t.
PointND	ParametricCurve.at(Real t)	Evaluates the curve at parameter t.
PointND	ParametricSurface.at(Real u, Real v)	Evaluates the surface at parameters (u, v).
PointND	SegmentND.at(Real t)	Evaluates the segment at parameter t.
PointND	LineND.closestPoint(PointND p)	Finds the closest point on this line to a given point.
PointND	SegmentND.closestPoint(PointND p)	Finds the closest point on this segment to a given point.
PointND	SegmentND.getEnd()
PointND	RayND.getOrigin()
PointND	Hyperplane.getPoint()
PointND	LineND.getPoint()
PointND	SegmentND.getStart()
PointND	PointND.interpolate(PointND other, Real t)	Linear interpolation between this point and another.
PointND	Hyperplane.intersection(LineND line)	Finds the intersection with a line.
PointND	LineND.intersection(LineND other)	Finds the intersection point with another line (if it exists).
PointND	PointND.midpoint(PointND other)	Computes the midpoint between this point and another.
PointND	SegmentND.midpoint()	Returns the midpoint of this segment.
static PointND	PointND.of(double... coords)	Creates a point from double coordinates.
static PointND	PointND.of(Real... coords)	Creates a point from varargs coordinates.
PointND	RayND.pointAt(Real t)	Computes the point at distance t along the ray.
PointND	Hyperplane.project(PointND p)	Projects a point onto this hyperplane.
PointND	PointND.translate(Vector<Real> vector)	Translates this point by a vector.

Methods in org.episteme.core.mathematics.geometry with parameters of type PointND

Modifier and Type	Method	Description
PointND	LineND.closestPoint(PointND p)	Finds the closest point on this line to a given point.
PointND	SegmentND.closestPoint(PointND p)	Finds the closest point on this segment to a given point.
boolean	PointND.contains(PointND point)
boolean	Hyperplane.containsPoint(PointND p)
boolean	LineND.containsPoint(PointND p)
boolean	PointND.containsPoint(PointND point)
boolean	SegmentND.containsPoint(PointND p)
Real	PointND.distance(PointND a, PointND b)	Computes the Euclidean distance to another point.
Real	Hyperplane.distanceTo(PointND p)	Computes the unsigned distance from a point to this hyperplane.
Real	LineND.distanceTo(PointND p)	Computes the distance from a point to this line.
Real	PointND.distanceTo(PointND other)
Real	SegmentND.distanceTo(PointND p)	Computes the distance from a point to this segment.
PointND	PointND.interpolate(PointND other, Real t)	Linear interpolation between this point and another.
PointND	PointND.midpoint(PointND other)	Computes the midpoint between this point and another.
PointND	Hyperplane.project(PointND p)	Projects a point onto this hyperplane.
int	Hyperplane.side(PointND p)	Checks which side of the hyperplane a point is on.
Real	Hyperplane.signedDistance(PointND p)	Computes the signed distance from a point to this hyperplane.
static Hyperplane	Hyperplane.through(PointND... points)	Creates a hyperplane from N points (for N-dimensional space).
static LineND	LineND.through(PointND p1, PointND p2)	Creates a line passing through two points.

Constructors in org.episteme.core.mathematics.geometry with parameters of type PointND

Modifier	Constructor	Description
	Hyperplane(PointND point, Vector<Real> normal)	Creates a hyperplane from a point and normal vector.
	LineND(PointND point, Vector<Real> direction)	Creates a line from a point and direction vector.
	RayND(PointND origin, VectorND direction)	Creates a new RayND.
	SegmentND(PointND start, PointND end)	Creates a segment from two endpoints.

Uses of PointND in org.episteme.core.mathematics.geometry.curves

Methods in org.episteme.core.mathematics.geometry.curves that return PointND

Modifier and Type	Method	Description
PointND	BezierCurve.at(Real t)
PointND	Circle.at(Real t)
PointND	Ellipse.at(Real t)
PointND	Helix.at(Real t)
PointND	Circle.getCenter()	Returns the center of the circle.
PointND	Ellipse.getCenter()	Returns the center point.
PointND	Helix.getCenter()	Returns the center point.

Methods in org.episteme.core.mathematics.geometry.curves that return types with arguments of type PointND

Modifier and Type	Method	Description
List<PointND>	BezierCurve.getControlPoints()	Returns the control points.

Constructors in org.episteme.core.mathematics.geometry.curves with parameters of type PointND

Modifier	Constructor	Description
	Circle(PointND center, Real radius)	Creates a 2D circle in the XY plane.
	Circle(PointND center, Real radius, Vector<Real> normal)	Creates a circle in 3D space with specified plane orientation.
	Ellipse(PointND center, Real semiMajorAxis, Real semiMinorAxis)	Creates a 2D ellipse with the given center and semi-axes.
	Helix(PointND center, Real radius, Real pitch)	Creates a helix with the given center, radius, and pitch.

Constructor parameters in org.episteme.core.mathematics.geometry.curves with type arguments of type PointND

Modifier	Constructor	Description
	BezierCurve(List<PointND> controlPoints)	Creates a Bézier curve from control points.

Uses of PointND in org.episteme.core.mathematics.geometry.surfaces

Methods in org.episteme.core.mathematics.geometry.surfaces that return PointND

Modifier and Type	Method	Description
PointND	Cone.at(Real u, Real v)
PointND	Cylinder.at(Real u, Real v)
PointND	Ellipsoid.at(Real u, Real v)
PointND	Paraboloid.at(Real u, Real v)
PointND	Sphere.at(Real theta, Real phi)
PointND	Torus.at(Real u, Real v)
PointND	Cone.getApex()	Returns the apex point.
PointND	Cylinder.getCenter()	Returns the center point.
PointND	Ellipsoid.getCenter()	Returns the center point.
PointND	Sphere.getCenter()	Returns the center of the sphere.
PointND	Torus.getCenter()	Returns the center of the torus.
PointND	Paraboloid.getVertex()	Returns the vertex point.

Methods in org.episteme.core.mathematics.geometry.surfaces with parameters of type PointND

Modifier and Type	Method	Description
boolean	Ellipsoid.contains(PointND point, Real tolerance)	Checks if a point is inside the ellipsoid.
boolean	Sphere.contains(PointND point, Real tolerance)	Checks if a point is on the surface of the sphere.

Constructors in org.episteme.core.mathematics.geometry.surfaces with parameters of type PointND

Modifier	Constructor	Description
	Cone(PointND apex, Real baseRadius, Real height)	Creates a cone with the given apex, base radius, and height.
	Cylinder(PointND center, Real radius, Real height)	Creates a cylinder with the given center, radius, and height.
	Ellipsoid(PointND center, Real semiAxisA, Real semiAxisB, Real semiAxisC)	Creates an ellipsoid with the given center and semi-axes.
	Paraboloid(PointND vertex, Real scaleA, Real scaleB)	Creates a paraboloid with the given vertex and scale factors.
	Sphere(PointND center, Real radius)	Creates a sphere.
	Torus(PointND center, Real majorRadius, Real minorRadius)	Creates a torus.