Uses of Interface
imagingbook.common.geometry.basic.Pnt2d

Packages that use Pnt2d

Package	Description
Ch10_Line_Fitting
imagingbook.common.corners
imagingbook.common.geometry.basic
imagingbook.common.geometry.circle
imagingbook.common.geometry.delaunay
imagingbook.common.geometry.delaunay.guibas
imagingbook.common.geometry.ellipse
imagingbook.common.geometry.ellipse.project
imagingbook.common.geometry.fd	Fourier descriptors for 2D shape representation and matching.
imagingbook.common.geometry.fitting.circle.algebraic
imagingbook.common.geometry.fitting.circle.geometric
imagingbook.common.geometry.fitting.circle.utils
imagingbook.common.geometry.fitting.ellipse.algebraic
imagingbook.common.geometry.fitting.ellipse.geometric
imagingbook.common.geometry.fitting.ellipse.utils
imagingbook.common.geometry.fitting.line
imagingbook.common.geometry.fitting.line.utils
imagingbook.common.geometry.fitting.points
imagingbook.common.geometry.hulls
imagingbook.common.geometry.line
imagingbook.common.geometry.mappings
imagingbook.common.geometry.mappings.linear
imagingbook.common.geometry.mappings.nonlinear
imagingbook.common.geometry.moments
imagingbook.common.geometry.shape
imagingbook.common.hough
imagingbook.common.ij
imagingbook.common.image
imagingbook.common.image.matching.lucaskanade
imagingbook.common.mser.components
imagingbook.common.ransac
imagingbook.common.regions
imagingbook.common.sift	Implementation of David Lowe's SIFT feature detection scheme.

Uses of Pnt2d in Ch10_Line_Fitting

Fields in Ch10_Line_Fitting declared as Pnt2d

Modifier and Type	Field	Description
static Pnt2d	Line_Rotation_Demo.P1
static Pnt2d	Line_Rotation_Demo.P2

Uses of Pnt2d in imagingbook.common.corners

Classes in imagingbook.common.corners that implement Pnt2d

Modifier and Type	Class	Description
class	Corner	This class represents a 2D corner.

Uses of Pnt2d in imagingbook.common.geometry.basic

Classes in imagingbook.common.geometry.basic that implement Pnt2d

Modifier and Type	Class	Description
static class	Pnt2d.PntDouble	Immutable 2D point implementation with double coordinates.
static class	Pnt2d.PntInt	Immutable 2D point implementation with int coordinates.

Methods in imagingbook.common.geometry.basic that return Pnt2d

Modifier and Type	Method	Description
static Pnt2d	PntUtils.centroid(Pnt2d[] pts)	Calculates and returns the centroid of the specified point set.
static Pnt2d	PntUtils.centroid(Iterable<Pnt2d> pts)	Calculates and returns the centroid of the specified point set.
default Pnt2d	Pnt2d.duplicate()	Returns a copy of this point which is of the same type as the original.
static Pnt2d	Pnt2d.from(double[] xy)	Creates and returns a new point of type Pnt2d.PntDouble with the specified coordinates.
static Pnt2d	Pnt2d.from(double x, double y)	Creates and returns a new point of type Pnt2d.PntDouble with the specified coordinates.
static Pnt2d	Pnt2d.from(int[] xy)	Creates and returns a new point of type Pnt2d.PntInt with the specified coordinates.
static Pnt2d	Pnt2d.from(int x, int y)	Creates and returns a new point of type Pnt2d.PntInt with the specified coordinates.
static Pnt2d	Pnt2d.from(Pnt2d p)
static Pnt2d	Pnt2d.from(Point2D p)
static Pnt2d[]	PntUtils.fromDoubleArray(double[][] da)	Converts a given 2D double array double[n][2] to a point array Pnt2d[n], taking x-coordinates from column 0 and y-coordinates from column 1.
Pnt2d	LineSegment2d.getP1()	Returns the first end point.
Pnt2d	LineSegment2d.getP2()	Returns the second end point.
static Pnt2d[]	PntUtils.makeDoublePoints(double... xy)	Creates and returns an array of Pnt2d.PntDouble points from the given sequence of double coordinate values, interpreted as x/y pairs.
static Pnt2d[]	PntUtils.makeIntPoints(int... xy)	Creates and returns an array of Pnt2d.PntInt points from the given sequence of int coordinate values, interpreted as x/y pairs.
default Pnt2d	Pnt2d.minus(double dx, double dy)	Returns a new point whose coordinates are the difference of this point and the given point (specified as a coordinate pair).
default Pnt2d	Pnt2d.minus(Pnt2d p)	Returns a new point whose coordinates are the difference of this point and the given point.
Pnt2d	Pnt2d.PntInt.minus(Pnt2d p)
default Pnt2d	Pnt2d.mult(double s)	Returns a new point whose coordinates are multiplied by the specified scalar value.
default Pnt2d	Pnt2d.perp()	Returns a point (vector) perpendicular to this point (vector).
default Pnt2d	Pnt2d.plus(double dx, double dy)	Returns a new point whose coordinates are the sum of this point and the specified double coordinates.
default Pnt2d	Pnt2d.plus(Pnt2d p)	Returns a new point whose coordinates are the sum of this point and the given point.
Pnt2d	Pnt2d.PntInt.plus(Pnt2d p)

Methods in imagingbook.common.geometry.basic with parameters of type Pnt2d

Modifier and Type	Method	Description
static Pnt2d	PntUtils.centroid(Pnt2d[] pts)	Calculates and returns the centroid of the specified point set.
default double	Pnt2d.cross(Pnt2d other)	Calculates and returns the 2D pseudo cross product of this point and another point (both points are interpreted as 2D vectors).
default double	Pnt2d.distance(Pnt2d other)	Returns the L2 (Euclidean) distance between this point and the given point.
default double	Pnt2d.distanceSq(Pnt2d other)	Returns the squared L2 distance between this point and the given point.
default double	Pnt2d.distL1(Pnt2d other)	Returns the L1 (Manhattan) distance between this point and the given point.
default double	Pnt2d.distL2(Pnt2d other)	Returns the L2 (Euclidean) distance between this point and the given point.
default double	Pnt2d.dot(Pnt2d other)	Calculates and returns the dot product of this point and another point (both points are interpreted as 2D vectors)
default boolean	Pnt2d.equals(Pnt2d p, double tolerance)	Tests if this point matches the given point, i.e., if both coordinate differences are zero (< than the specified tolerance).
static Pnt2d	Pnt2d.from(Pnt2d p)
static Pnt2d.PntDouble	Pnt2d.PntDouble.from(Pnt2d p)	Returns a new Pnt2d.PntDouble instance with the same coordinates as the given point.
static Pnt2d.PntInt	Pnt2d.PntInt.from(Pnt2d p)	Returns a new Pnt2d.PntInt from a given Pnt2d instance.
default double	Pnt2d.getDistance(Pnt2d other)	Implementation required by Primitive2d interface.
double	Primitive2d.getDistance(Pnt2d p)	Returns the minimum absolute distance from the specified point to this curve.
default Pnt2d	Pnt2d.minus(Pnt2d p)	Returns a new point whose coordinates are the difference of this point and the given point.
Pnt2d.PntDouble	Pnt2d.PntDouble.minus(Pnt2d p)
Pnt2d	Pnt2d.PntInt.minus(Pnt2d p)
default Pnt2d	Pnt2d.plus(Pnt2d p)	Returns a new point whose coordinates are the sum of this point and the given point.
Pnt2d	Pnt2d.PntInt.plus(Pnt2d p)
static double[][]	PntUtils.toDoubleArray(Pnt2d[] pts)	Converts a given point array Pnt2d[n] to a 2D double array double[n][2], with x-coordinates in column 0 and y-coordinates in column 1.

Method parameters in imagingbook.common.geometry.basic with type arguments of type Pnt2d

Modifier and Type	Method	Description
static Pnt2d	PntUtils.centroid(Iterable<Pnt2d> pts)	Calculates and returns the centroid of the specified point set.
static int	PntUtils.count(Iterable<Pnt2d> pts)	Simply counts the points in the specified point set.

Constructors in imagingbook.common.geometry.basic with parameters of type Pnt2d

Modifier	Constructor	Description
	LineSegment2d(Pnt2d p1, Pnt2d p2)	Constructor for arbitrary 2D points.

Uses of Pnt2d in imagingbook.common.geometry.circle

Methods in imagingbook.common.geometry.circle that return Pnt2d

Modifier and Type	Method	Description
Pnt2d	GeometricCircle.getCenter()	Returns the center point of this circle.

Methods in imagingbook.common.geometry.circle with parameters of type Pnt2d

Modifier and Type	Method	Description
double	GeometricCircle.getDistance(Pnt2d p)	Returns the (unsigned) distance between the specified point and this circle.
double	GeometricCircle.getMeanSquareError(Pnt2d[] points)	Calculates and returns the mean of the squared distances between this circle and a set of 2D points.
double	GeometricCircle.getSignedDistance(Pnt2d p)	Returns the signed distance between the specified point and this circle.

Uses of Pnt2d in imagingbook.common.geometry.delaunay

Methods in imagingbook.common.geometry.delaunay that return Pnt2d

Modifier and Type	Method	Description
Pnt2d[]	Triangle.getPoints()	Returns an array of points used by the triangulation in the order of their insertion.
static Pnt2d[]	DelaunayTriangulation.makeOuterTriangle(double width, double height)	Creates a 2D triangle that is sufficiently large to be used as an outer triangle for the Delaunay triangulation of points inside the given bounding rectangle, anchored at (0,0).
static Pnt2d[]	DelaunayTriangulation.makeOuterTriangle(double xmin, double xmax, double ymin, double ymax)	Creates a 2D triangle that is sufficiently large to be used as an outer triangle for the Delaunay triangulation of points inside the given bounding rectangle.
static Pnt2d[]	DelaunayTriangulation.makeOuterTriangle(Collection<? extends Pnt2d> points)	Creates a 2D triangle that is sufficiently large to be used as an outer triangle for the Delaunay triangulation of the given point set.

Methods in imagingbook.common.geometry.delaunay that return types with arguments of type Pnt2d

Modifier and Type	Method	Description
List<Pnt2d>	DelaunayTriangulation.getPoints()	Returns a list of 2D vertices contained in this triangulation.

Method parameters in imagingbook.common.geometry.delaunay with type arguments of type Pnt2d

Modifier and Type	Method	Description
static DelaunayTriangulation	DelaunayTriangulation.from(Collection<? extends Pnt2d> points)	Performs Delaunay triangulation on the specified points.
static DelaunayTriangulation	DelaunayTriangulation.from(Collection<? extends Pnt2d> points, boolean shuffle)	Performs Delaunay triangulation on the specified points with (optional) random insertion order.
static Pnt2d[]	DelaunayTriangulation.makeOuterTriangle(Collection<? extends Pnt2d> points)	Creates a 2D triangle that is sufficiently large to be used as an outer triangle for the Delaunay triangulation of the given point set.

Uses of Pnt2d in imagingbook.common.geometry.delaunay.guibas

Fields in imagingbook.common.geometry.delaunay.guibas declared as Pnt2d

Modifier and Type	Field	Description
protected final Pnt2d	Edge2D.a
protected final Pnt2d	Triangle2D.a
protected final Pnt2d	Edge2D.b
protected final Pnt2d	Triangle2D.b
protected final Pnt2d	Triangle2D.c

Methods in imagingbook.common.geometry.delaunay.guibas that return Pnt2d

Modifier and Type	Method	Description
Pnt2d	Triangle2D.getOppositeVertex(Edge2D edge)	Returns the vertex of this triangle opposite to the specified edge.
Pnt2d[]	Triangle2D.getPoints()

Methods in imagingbook.common.geometry.delaunay.guibas that return types with arguments of type Pnt2d

Modifier and Type	Method	Description
List<Pnt2d>	TriangulationGuibas.getPoints()

Methods in imagingbook.common.geometry.delaunay.guibas with parameters of type Pnt2d

Modifier and Type	Method	Description
boolean	Triangle2D.containsPoint(Pnt2d point)	Tests if a 2D point lies inside this 2D triangle.
protected Edge2D.Distance	Edge2D.distanceFromPoint(Pnt2d point)	Creates and returns a new Edge2D.Distance object, representing the minimum distance between this edge and the specified point.
Triangle2D	TriangulationGuibas.findContainingTriangle(Pnt2d point)	Returns the triangle that contains the specified point or null if no such triangle exists.
Edge2D.Distance	Triangle2D.findMinEdgeDistance(Pnt2d point)	Calculates the minimum distance from the specified point to this triangle.
Edge2D	TriangulationGuibas.findNearestEdge(Pnt2d point)	Returns the triangle edge nearest to the specified point.
boolean	Triangle2D.hasVertex(Pnt2d vertex)	Checks if the given vertex is amongst the triangle's vertices.
protected boolean	Triangle2D.isPointInCircumCircle(Pnt2d point)	Tests if a given point lies in the circumcircle of this triangle.
void	TriangulationGuibas.removeTrianglesUsing(Pnt2d point)	Removes all triangles that contain the specified corner point.

Constructors in imagingbook.common.geometry.delaunay.guibas with parameters of type Pnt2d

Modifier	Constructor	Description
protected	Distance(Pnt2d point)
protected	Edge2D(Pnt2d a, Pnt2d b)	Constructor of the 2D edge class used to create a new edge instance from two 2D vectors describing the edge's vertices.
	Triangle2D(Pnt2d[] points)
	Triangle2D(Pnt2d a, Pnt2d b, Pnt2d c)	Constructor of the 2D triangle class used to create a new triangle instance from three 2D vectors describing the triangle's vertices.

Constructor parameters in imagingbook.common.geometry.delaunay.guibas with type arguments of type Pnt2d

Modifier	Constructor	Description
	TriangulationGuibas(Collection<? extends Pnt2d> points)	Constructor.
	TriangulationGuibas(Collection<? extends Pnt2d> points, boolean shuffle)	Constructor.

Uses of Pnt2d in imagingbook.common.geometry.ellipse

Methods in imagingbook.common.geometry.ellipse that return Pnt2d

Modifier and Type	Method	Description
Pnt2d	GeometricEllipse.getCenter()
Pnt2d	GeometricEllipse.getClosestPoint(Pnt2d pnt)	Returns the ellipse point closest to the specified point.
Pnt2d	GeometricEllipse.getLeftAxisPoint()	Deprecated.

Methods in imagingbook.common.geometry.ellipse with parameters of type Pnt2d

Modifier and Type	Method	Description
double	AlgebraicEllipse.getAlgebraicDistance(Pnt2d p)
double	GeometricEllipse.getAlgebraicDistance(Pnt2d p)
Pnt2d	GeometricEllipse.getClosestPoint(Pnt2d pnt)	Returns the ellipse point closest to the specified point.
double	GeometricEllipse.getDistance(Pnt2d p)	Returns the closest (geometric) distance of the specified point to this ellipse.
double	AlgebraicEllipse.getGoncharovaDistance(Pnt2d p)
double	GeometricEllipse.getMeanSquareError(Pnt2d[] points)	Returns the mean squared error between this ellipse and a set of 2D points.
double	AlgebraicEllipse.getSampsonDistance(Pnt2d p)

Uses of Pnt2d in imagingbook.common.geometry.ellipse.project

Methods in imagingbook.common.geometry.ellipse.project that return Pnt2d

Modifier and Type	Method	Description
Pnt2d	EllipseProjector.project(Pnt2d pnt)	Projects the specified point onto the associated ellipse.

Methods in imagingbook.common.geometry.ellipse.project with parameters of type Pnt2d

Modifier and Type	Method	Description
Pnt2d	EllipseProjector.project(Pnt2d pnt)	Projects the specified point onto the associated ellipse.

Uses of Pnt2d in imagingbook.common.geometry.fd

Methods in imagingbook.common.geometry.fd that return Pnt2d

Modifier and Type	Method	Description
Pnt2d[]	PolygonSampler.samplePolygon(Pnt2d[] V, int M)	Samples the closed polygon path specified by V at M equidistant positions.
Pnt2d[]	PolygonSampler.samplePolygon(Pnt2d[] V, int M, double startFrac)	For testing only: allows to choose an arbitrary start point by setting 'startFrac' in [0,1].

Methods in imagingbook.common.geometry.fd with parameters of type Pnt2d

Modifier and Type	Method	Description
static FourierDescriptor	FourierDescriptorTrigonometric.from(Pnt2d[] V, int mp)	Creates a FourierDescriptor directly from the vertices of a closed polygon (without interpolation).
static FourierDescriptor	FourierDescriptorUniform.from(Pnt2d[] V)	Creates a new Fourier descriptor from a uniformly sampled polygon V with the maximum number of Fourier coefficient pairs.
static FourierDescriptor	FourierDescriptorUniform.from(Pnt2d[] V, int mp)	Creates a new Fourier descriptor from a uniformly sampled polygon V with Mp coefficient pairs.
Pnt2d[]	PolygonSampler.samplePolygon(Pnt2d[] V, int M)	Samples the closed polygon path specified by V at M equidistant positions.
Pnt2d[]	PolygonSampler.samplePolygon(Pnt2d[] V, int M, double startFrac)	For testing only: allows to choose an arbitrary start point by setting 'startFrac' in [0,1].
static Complex[]	FourierDescriptor.toComplexArray(Pnt2d[] points)

Uses of Pnt2d in imagingbook.common.geometry.fitting.circle.algebraic

Methods in imagingbook.common.geometry.fitting.circle.algebraic with parameters of type Pnt2d

Modifier and Type	Method	Description
static CircleFitAlgebraic	CircleFitAlgebraic.getFit(CircleFitAlgebraic.FitType type, Pnt2d[] points)	Creates and returns a new circle fit instance of the specified type for the given sample points.

Constructors in imagingbook.common.geometry.fitting.circle.algebraic with parameters of type Pnt2d

Modifier	Constructor	Description
	CircleFit3Points(Pnt2d[] pts)	Constructor.
	CircleFit3Points(Pnt2d p0, Pnt2d p1, Pnt2d p2)	Constructor.
	CircleFitHyperSimple(Pnt2d[] points)	Constructor.
	CircleFitHyperSimple(Pnt2d[] points, Pnt2d xref)	Constructor.
	CircleFitHyperStable(Pnt2d[] points)	Constructor.
	CircleFitHyperStable(Pnt2d[] points, Pnt2d xref)	Constructor.
	CircleFitKasaA(Pnt2d[] points)	Constructor.
	CircleFitKasaA(Pnt2d[] points, Pnt2d xref)	Constructor.
	CircleFitKasaB(Pnt2d[] points)	Constructor.
	CircleFitKasaB(Pnt2d[] points, Pnt2d xref)	Constructor.
	CircleFitKasaC(Pnt2d[] points)	Constructor.
	CircleFitKasaC(Pnt2d[] points, Pnt2d xref)	Constructor.
	CircleFitPratt(Pnt2d[] points)	Constructor.
	CircleFitPratt(Pnt2d[] points, Pnt2d xref)	Constructor.
	CircleFitTaubin(Pnt2d[] points)	Constructor.
	CircleFitTaubin(Pnt2d[] points, Pnt2d xref)	Constructor.

Uses of Pnt2d in imagingbook.common.geometry.fitting.circle.geometric

Methods in imagingbook.common.geometry.fitting.circle.geometric with parameters of type Pnt2d

Modifier and Type	Method	Description
static CircleFitGeometric	CircleFitGeometric.getFit(CircleFitGeometric.FitType type, Pnt2d[] points, GeometricCircle initCircle)

Constructors in imagingbook.common.geometry.fitting.circle.geometric with parameters of type Pnt2d

Modifier	Constructor	Description
	CircleFitGeometricCoord(Pnt2d[] pts, GeometricCircle initCircle)
	CircleFitGeometricCoord(Pnt2d[] pts, GeometricCircle initCircle, int maxEvaluations, int maxIterations, double tolerance)
	CircleFitGeometricDist(Pnt2d[] pts, GeometricCircle initCircle)
	CircleFitGeometricDist(Pnt2d[] pts, GeometricCircle initCircle, int maxEvaluations, int maxIterations, double tolerance)

Uses of Pnt2d in imagingbook.common.geometry.fitting.circle.utils

Methods in imagingbook.common.geometry.fitting.circle.utils that return Pnt2d

Modifier and Type	Method	Description
Pnt2d[]	CircleSampler.getPoints(int n, double startAngle, double endAngle, double sigma)	Creates and returns an array of 2D points sampled on the circle associated with this CircleSampler.

Uses of Pnt2d in imagingbook.common.geometry.fitting.ellipse.algebraic

Methods in imagingbook.common.geometry.fitting.ellipse.algebraic with parameters of type Pnt2d

Modifier and Type	Method	Description
static EllipseFitAlgebraic	EllipseFitAlgebraic.getFit(EllipseFitAlgebraic.FitType type, Pnt2d[] points, Pnt2d xref)

Constructors in imagingbook.common.geometry.fitting.ellipse.algebraic with parameters of type Pnt2d

Modifier	Constructor	Description
	EllipseFit5Points(Pnt2d[] points)
	EllipseFitFitzgibbonNaive(Pnt2d[] points)
	EllipseFitFitzgibbonOriginal(Pnt2d[] points)
	EllipseFitFitzgibbonStable(Pnt2d[] points)
	EllipseFitFitzgibbonStable(Pnt2d[] points, Pnt2d xref)
	EllipseFitTaubin1(Pnt2d[] points)
	EllipseFitTaubin1(Pnt2d[] points, Pnt2d xref)
	EllipseFitTaubin2(Pnt2d[] points)
	EllipseFitTaubin2(Pnt2d[] points, Pnt2d xref)

Uses of Pnt2d in imagingbook.common.geometry.fitting.ellipse.geometric

Methods in imagingbook.common.geometry.fitting.ellipse.geometric with parameters of type Pnt2d

Modifier and Type	Method	Description
static EllipseFitGeometric	EllipseFitGeometric.getFit(EllipseFitGeometric.FitType type, Pnt2d[] points, GeometricEllipse initEllipse)

Constructors in imagingbook.common.geometry.fitting.ellipse.geometric with parameters of type Pnt2d

Modifier	Constructor	Description
	EllipseGeometricFitCoord(Pnt2d[] pts, GeometricEllipse initEllipse)
	EllipseGeometricFitCoord(Pnt2d[] pts, GeometricEllipse initEllipse, int maxEvaluations, int maxIterations, double tolerance, boolean syntheticDeriv)
	EllipseGeometricFitDist(Pnt2d[] pts, GeometricEllipse initEllipse)
	EllipseGeometricFitDist(Pnt2d[] pts, GeometricEllipse initEllipse, int maxEvaluations, int maxIterations, double tolerance, boolean syntheticDeriv)

Uses of Pnt2d in imagingbook.common.geometry.fitting.ellipse.utils

Methods in imagingbook.common.geometry.fitting.ellipse.utils that return Pnt2d

Modifier and Type	Method	Description
Pnt2d[]	EllipseSampler.getPoints(int n, double startAngle, double arcAngle, double sigma)	Creates and returns an array of 2D points sampled on the ellipse associated with this EllipseSampler.

Uses of Pnt2d in imagingbook.common.geometry.fitting.line

Methods in imagingbook.common.geometry.fitting.line that return Pnt2d

Modifier and Type	Method	Description
Pnt2d[]	IncrementalLineFit.getPoints()	Returns the current point sequence of this fit as an array.
Pnt2d	IncrementalLineFit.peekFirst()	Returns (but does not remove) the point positioned at the front of the point sequence.
Pnt2d	IncrementalLineFit.peekLast()	Returns (but does not remove) the point positioned at the end of the point sequence.
Pnt2d	IncrementalLineFit.removeFirst()	Retrieves and removes the first point from the front of the point sequence.
Pnt2d	IncrementalLineFit.removeLast()	Retrieves and removes the last point from the end of the point sequence.

Methods in imagingbook.common.geometry.fitting.line with parameters of type Pnt2d

Modifier and Type	Method	Description
boolean	IncrementalLineFit.add(Pnt2d pnt)	Adds a new sample points to the end of the point sequence (same as IncrementalLineFit.addLast(Pnt2d)).
void	IncrementalLineFit.addFirst(Pnt2d pnt)	Adds a new sample points to the front of the point sequence.
void	IncrementalLineFit.addLast(Pnt2d pnt)	Adds a new sample points to the end of the point sequence (same as IncrementalLineFit.addLast(Pnt2d)).
default double	LineFit.getSquaredOrthogonalError(Pnt2d[] points)	Calculates and returns the sum of the squared orthogonal distances of the specified points for this line fit.
double	LinearRegressionFit.getSquaredRegressionError(Pnt2d[] points)	Calculates and returns the sum of the squared differences between the y-coordinates of the data points (xi, yi) and the associated y-value of the regression line (y = k x + d).

Constructors in imagingbook.common.geometry.fitting.line with parameters of type Pnt2d

Modifier	Constructor	Description
	IncrementalLineFit(Pnt2d[] initPnts)	Constructor accepting a sequence of initial points.
	LinearRegressionFit(Pnt2d[] points)	Constructor, performs a linear regression fit to the specified points.
	OrthogonalLineFitEigen(Pnt2d[] points)	Constructor, performs a orthogonal regression fit to the specified points.
	OrthogonalLineFitHomogeneous(Pnt2d[] points)	Constructor, performs a orthogonal regression fit to the specified points.
	OrthogonalLineFitSvd(Pnt2d[] points)	Constructor, performs a linear regression fit to the specified points.

Uses of Pnt2d in imagingbook.common.geometry.fitting.line.utils

Methods in imagingbook.common.geometry.fitting.line.utils that return Pnt2d

Modifier and Type	Method	Description
Pnt2d[]	LineSampler.getPoints(int n, double sigma)	Returns an array of randomly sampled points.

Constructors in imagingbook.common.geometry.fitting.line.utils with parameters of type Pnt2d

Modifier	Constructor	Description
	LineSampler(Pnt2d p1, Pnt2d p2)	Constructor (with no specific seed).
	LineSampler(Pnt2d p1, Pnt2d p2, long seed)	Constructor (with specific random seed).

Uses of Pnt2d in imagingbook.common.geometry.fitting.points

Methods in imagingbook.common.geometry.fitting.points with parameters of type Pnt2d

Modifier and Type	Method	Description
static double	LinearFit2d.getSquaredError(Pnt2d[] P, Pnt2d[] Q, double[][] A)	Calculates and returns the sum of squared fitting errors for two associated point sequences (P, Q) under a linear transformation specified by a 3x3 matrix A.

Constructors in imagingbook.common.geometry.fitting.points with parameters of type Pnt2d

Modifier	Constructor	Description
	AffineFit2d(Pnt2d[] P, Pnt2d[] Q)	Constructor.
	ProcrustesFit2d(Pnt2d[] P, Pnt2d[] Q)	Convenience constructor, with parameters allowTranslation, allowScaling and forceRotation set to true.
	ProcrustesFit2d(Pnt2d[] P, Pnt2d[] Q, boolean allowTranslation, boolean allowScaling, boolean forceRotation)	Full constructor.
	ProjectiveFit2d(Pnt2d[] P, Pnt2d[] Q)	Constructor.

Uses of Pnt2d in imagingbook.common.geometry.hulls

Methods in imagingbook.common.geometry.hulls that return Pnt2d

Modifier and Type	Method	Description
Pnt2d[]	AxisAlignedBoundingBox.getVertices()	Returns an array holding the 4 corner points of the bounding box.
Pnt2d[]	ConvexHull.getVertices()	Returns a sequence of 2D points on the convex hull (in counter-clockwise order).

Methods in imagingbook.common.geometry.hulls with parameters of type Pnt2d

Modifier and Type	Method	Description
boolean	AxisAlignedBoundingBox.contains(Pnt2d p)	Checks if this bounding box contains the specified point using the default tolerance.
boolean	AxisAlignedBoundingBox.contains(Pnt2d p, double tolerance)	Checks if this bounding box contains the specified point using the specified tolerance.
boolean	ConvexHull.contains(Pnt2d p)
boolean	ConvexHull.contains(Pnt2d p, double tolerance)	Checks if this convex hull contains the specified point.

Constructors in imagingbook.common.geometry.hulls with parameters of type Pnt2d

Modifier	Constructor	Description
	AxisAlignedBoundingBox(Pnt2d[] points)	Constructor, creates a AxisAlignedBoundingBox instance from an array of Pnt2d points.
	ConvexHull(Pnt2d[] points)	Constructor, creates a AxisAlignedBoundingBox instance from an array of Pnt2d points.

Constructor parameters in imagingbook.common.geometry.hulls with type arguments of type Pnt2d

Modifier	Constructor	Description
	AxisAlignedBoundingBox(Iterable<Pnt2d> points)	Constructor, creates a AxisAlignedBoundingBox instance from an Iterable over Pnt2d.
	ConvexHull(Iterable<Pnt2d> points)	Constructor, creates a ConvexHull instance from an Iterable over Pnt2d.

Uses of Pnt2d in imagingbook.common.geometry.line

Methods in imagingbook.common.geometry.line that return Pnt2d

Modifier and Type	Method	Description
Pnt2d	AlgebraicLine.getClosestLinePoint(Pnt2d p)	Returns the point on the line that is closest to the specified 2D point.
Pnt2d	AlgebraicLine.intersect(AlgebraicLine l2)	Finds the intersection point between this line and another AlgebraicLine.

Methods in imagingbook.common.geometry.line with parameters of type Pnt2d

Modifier and Type	Method	Description
static AlgebraicLine	AlgebraicLine.from(Pnt2d p0, Pnt2d p1)	Creates a new AlgebraicLine instance from two given points.
static HessianLine	HessianLine.from(Pnt2d p1, Pnt2d p2)
Pnt2d	AlgebraicLine.getClosestLinePoint(Pnt2d p)	Returns the point on the line that is closest to the specified 2D point.
double	AlgebraicLine.getDistance(Pnt2d p)	Returns the orthogonal (unsigned) distance between this line and the point p.
double	AlgebraicLine.getSignedDistance(Pnt2d p)	Returns the orthogonal (signed) distance between this line and the specified point.
double	AlgebraicLine.getSquareError(Pnt2d[] points)	Calculates the sum of squared distances between this line and a given array of 2D points.

Uses of Pnt2d in imagingbook.common.geometry.mappings

Methods in imagingbook.common.geometry.mappings that return Pnt2d

Modifier and Type	Method	Description
Pnt2d	Mapping2D.applyTo(Pnt2d pnt)	Applies this mapping to a single 2D point.
default Pnt2d[]	Mapping2D.applyTo(Pnt2d[] pnts)	Applies this mapping to an array of 2D points and returns a new array of points.

Methods in imagingbook.common.geometry.mappings with parameters of type Pnt2d

Modifier and Type	Method	Description
Pnt2d	Mapping2D.applyTo(Pnt2d pnt)	Applies this mapping to a single 2D point.
default Pnt2d[]	Mapping2D.applyTo(Pnt2d[] pnts)	Applies this mapping to an array of 2D points and returns a new array of points.
double[][]	Jacobian.getJacobian(Pnt2d pnt)	Returns the Jacobian matrix for this mapping, evaluated at the given 2D point.

Uses of Pnt2d in imagingbook.common.geometry.mappings.linear

Methods in imagingbook.common.geometry.mappings.linear that return Pnt2d

Modifier and Type	Method	Description
Pnt2d	AffineMapping2D.applyTo(Pnt2d pnt)
Pnt2d	LinearMapping2D.applyTo(Pnt2d pnt)

Methods in imagingbook.common.geometry.mappings.linear with parameters of type Pnt2d

Modifier and Type	Method	Description
Pnt2d	AffineMapping2D.applyTo(Pnt2d pnt)
Pnt2d	LinearMapping2D.applyTo(Pnt2d pnt)
static AffineMapping2D	AffineMapping2D.fromPoints(Pnt2d[] P, Pnt2d[] Q)	Creates an affine 2D mapping from two sequences of corresponding points.
static AffineMapping2D	AffineMapping2D.fromPoints(Pnt2d p0, Pnt2d p1, Pnt2d p2, Pnt2d q0, Pnt2d q1, Pnt2d q2)	Creates an affine mapping from 3 pairs of corresponding 2D points (p0, p1, p2) → (q0, q1, q2).
static ProjectiveMapping2D	ProjectiveMapping2D.fromPoints(Pnt2d[] P, Pnt2d[] Q)	Creates a projective 2D mapping from two sequences of corresponding points.
static Translation2D	Translation2D.fromPoints(Pnt2d p, Pnt2d q)	Creates a new translation that maps between the first point to the second point specified.
double[][]	AffineMapping2D.getJacobian(Pnt2d xy)
double[][]	ProjectiveMapping2D.getJacobian(Pnt2d xy)
double[][]	Translation2D.getJacobian(Pnt2d xy)

Uses of Pnt2d in imagingbook.common.geometry.mappings.nonlinear

Methods in imagingbook.common.geometry.mappings.nonlinear that return Pnt2d

Modifier and Type	Method	Description
Pnt2d	BilinearMapping2D.applyTo(Pnt2d pnt)
Pnt2d	LogPolarMapping1.applyTo(Pnt2d xy)
Pnt2d	LogPolarMapping2.applyTo(Pnt2d xy)

Methods in imagingbook.common.geometry.mappings.nonlinear with parameters of type Pnt2d

Modifier and Type	Method	Description
Pnt2d	BilinearMapping2D.applyTo(Pnt2d pnt)
Pnt2d	LogPolarMapping1.applyTo(Pnt2d xy)
Pnt2d	LogPolarMapping2.applyTo(Pnt2d xy)
static BilinearMapping2D	BilinearMapping2D.fromPoints(Pnt2d[] P, Pnt2d[] Q)	Calculates and returns the bilinear mapping M between two point sets P, Q, with 4 points each, such that q_i = M(p_i).

Uses of Pnt2d in imagingbook.common.geometry.moments

Method parameters in imagingbook.common.geometry.moments with type arguments of type Pnt2d

Modifier and Type	Method	Description
static double	Moments2D.centralMoment(Iterable<Pnt2d> points, int p, int q)	Calculates and returns the central moment of order (p,q) for the specified set of 2D points.
static double	Moments2D.normalizedCentralMoment(Iterable<Pnt2d> points, int p, int q)	Calculates and returns the normalized central moment of order (p,q) for the specified set of 2D points.
static double	Moments2D.ordinaryMoment(Iterable<Pnt2d> points, int p, int q)	Calculates and returns the ordinary moment of order (p,q) for the specified set of 2D points.

Constructor parameters in imagingbook.common.geometry.moments with type arguments of type Pnt2d

Modifier	Constructor	Description
	FlusserMoments(Iterable<Pnt2d> points)

Uses of Pnt2d in imagingbook.common.geometry.shape

Methods in imagingbook.common.geometry.shape that return Pnt2d

Modifier and Type	Method	Description
static Pnt2d[]	ShapeProducer.getShapePoints(Shape shape)
Pnt2d	ShapePointIterator.next()

Uses of Pnt2d in imagingbook.common.hough

Methods in imagingbook.common.hough with parameters of type Pnt2d

Modifier and Type	Method	Description
static HoughLine	HoughLine.from(Pnt2d p1, Pnt2d p2, Pnt2d pRef, int count)

Constructors in imagingbook.common.hough with parameters of type Pnt2d

Modifier	Constructor	Description
	HoughTransformLines(Pnt2d[] points, int width, int height, HoughTransformLines.Parameters params)	Constructor, creates a new Hough transform from a sequence of 2D points.

Uses of Pnt2d in imagingbook.common.ij

Methods in imagingbook.common.ij that return Pnt2d

Modifier and Type	Method	Description
static Pnt2d[]	IjUtils.collectNonzeroPoints(ImageProcessor ip)	Collects all image coordinates with non-zero pixel values into an array of 2D points (Pnt2d).
static Pnt2d[]	RoiUtils.getOutlinePointsFloat(Roi roi)	Retrieves the outline of the specified ROI as an array of Pnt2d points with double coordinates.
static Pnt2d[]	RoiUtils.getOutlinePointsInt(Roi roi)	Retrieves the outline of the specified ROI as an array of Pnt2d points with int coordinates.
static Pnt2d[]	RoiUtils.getPoints(FloatPolygon poly)	Extracts the points of an ImageJ FloatPolygon.
static Pnt2d[]	RoiUtils.getPoints(FloatPolygon poly, double offset)	Extracts the points of an ImageJ FloatPolygon.

Methods in imagingbook.common.ij with parameters of type Pnt2d

Modifier and Type	Method	Description
static void	IjUtils.drawPoints(ImageProcessor ip, Pnt2d[] points, int value)	Draws the given set of points onto the specified image (by setting the corresponding pixels).
static PointRoi	RoiUtils.toPointRoi(Pnt2d[] points)	Converts an array of 2D points (of type Pnt2d) to a PointRoi instance.

Uses of Pnt2d in imagingbook.common.image

Classes in imagingbook.common.image that implement Pnt2d

Modifier and Type	Class	Description
static class	LocalMinMaxFinder.ExtremalPoint	A 2D point with integer coordinates and a score value (LocalMinMaxFinder.ExtremalPoint.q) attached.

Uses of Pnt2d in imagingbook.common.image.matching.lucaskanade

Methods in imagingbook.common.image.matching.lucaskanade that return Pnt2d

Modifier and Type	Method	Description
Pnt2d[]	LucasKanadeMatcher.getReferencePoints()	Returns the corner points of the bounding rectangle of R, centered at the origin.

Methods in imagingbook.common.image.matching.lucaskanade with parameters of type Pnt2d

Modifier and Type	Method	Description
void	ImageExtractor.extractImage(ImageProcessor R, Pnt2d[] sourcePnts)	Extracts a warped sub-image of the associated target image I, defined by a sequence of 3 or 4 points.
ProjectiveMapping2D	LucasKanadeMatcher.getReferenceMappingTo(Pnt2d[] Q)	Calculates the projective transformation that maps the reference image R (centered at the origin) to some other quad Q.

Uses of Pnt2d in imagingbook.common.mser.components

Classes in imagingbook.common.mser.components that implement Pnt2d

Modifier and Type	Class	Description
class	PixelMap.Pixel	A pixel value which knows its coordinates.

Uses of Pnt2d in imagingbook.common.ransac

Methods in imagingbook.common.ransac that return Pnt2d

Modifier and Type	Method	Description
Pnt2d[]	RansacResult.getDraw()	Returns the randomly drawn points that lead to this result.
Pnt2d[]	RansacResult.getInliers()	Returns the set of inliers (points) associated with this result.

Methods in imagingbook.common.ransac with parameters of type Pnt2d

Modifier and Type	Method	Description
List<RansacResult<T>>	RansacDetector.detectAll(Pnt2d[] points, int maxCount)	Performs iterative RANSAC steps on the supplied point set until either no more primitive was detected or the maximum number of primitives was reached.
RansacResult<T>	RansacDetector.detectNext(Pnt2d[] points)	Performs a single RANSAC step on the supplied point set.

Constructors in imagingbook.common.ransac with parameters of type Pnt2d

Modifier	Constructor	Description
	RansacResult(Pnt2d[] draw, T primitiveInit, T primitiveFinal, double score, Pnt2d[] inliers)

Uses of Pnt2d in imagingbook.common.regions

Methods in imagingbook.common.regions that return Pnt2d

Modifier and Type	Method	Description
Pnt2d	BinaryRegion.getCenter()	Returns the center of this region as a 2D point.
Pnt2d[]	Contour.getPointArray()	Get the contour points as an array.

Methods in imagingbook.common.regions that return types with arguments of type Pnt2d

Modifier and Type	Method	Description
List<Pnt2d>	Contour.getPointList()	Get the list of contour points.
Iterator<Pnt2d>	Contour.iterator()
Iterator<Pnt2d>	SegmentationBackedRegion.iterator()

Methods in imagingbook.common.regions with parameters of type Pnt2d

Modifier and Type	Method	Description
void	Contour.addPoint(Pnt2d p)

Uses of Pnt2d in imagingbook.common.sift

Classes in imagingbook.common.sift that implement Pnt2d

Modifier and Type	Class	Description
class	SiftDescriptor	This class defines a SIFT descriptor.