Uses of Class
imagingbook.common.math.Complex

Packages that use Complex

Package	Description
imagingbook.common.geometry.fd	Fourier descriptors for 2D shape representation and matching.
imagingbook.common.geometry.moments
imagingbook.common.math

Uses of Complex in imagingbook.common.geometry.fd

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

Modifier and Type	Method	Description
Complex	FourierDescriptor.getCoefficient(int m)	Returns the complex-valued DFT coefficient with the specified frequency index m.
Complex[]	FourierDescriptor.getCoefficientPair(int m)	Returns the Fourier coefficient pair (G[-m], G[+m]) as a Complex valued array.
Complex[]	FourierDescriptor.getCoefficients()	Returns the array G = {G[0], ..., G[M-1]} of complex-valued DFT coefficients.
Complex[]	FourierDescriptor.getShapeFull(int n)	Reconstructs the associated 2D shape (closed contour) with N sample points, using all of the Fourier descriptor's coefficient pairs.
Complex[]	FourierDescriptor.getShapePair(int n, int m)	Reconstructs the associated 2D shape (closed contour) with N sample points, using only a single coefficient pairs.
Complex[]	FourierDescriptor.getShapePartial(int n, int p)	Reconstructs the associated 2D shape (closed contour) with N sample points, using only a subset of the Fourier descriptor's coefficient pairs.
Complex	FourierDescriptor.getShapePointFull(double t)	Reconstructs a single space point of the associated shape (closed contour) at the fractional path position t ∈ [0,1], using all of the Fourier descriptor's coefficient pairs.
Complex	FourierDescriptor.getShapePointPair(int m, double t)	Returns the spatial point reconstructed from a single DFT coefficient pair G[-m], G[+m] at position t ∈ [0,1].
Complex	FourierDescriptor.getShapePointPartial(int p, double t)	Reconstructs a single space point of the associated shape (closed contour) at the fractional path position t ∈ [0,1], using only a subset of the Fourier descriptor's coefficient pairs.
static Complex[]	FourierDescriptor.toComplexArray(Pnt2d[] points)

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

Modifier and Type	Method	Description
static FourierDescriptor	FourierDescriptorUniform.from(Complex[] V)	Creates a new Fourier descriptor from a uniformly sampled polygon V with the maximum number of Fourier coefficient pairs.
static FourierDescriptor	FourierDescriptorUniform.from(Complex[] V, int mp)	Creates a new Fourier descriptor from a uniformly sampled polygon V with Mp coefficient pairs.
static Path2D	FourierDescriptor.toPath(Complex[] C)

Constructors in imagingbook.common.geometry.fd with parameters of type Complex

Modifier	Constructor	Description
	FourierDescriptor(Complex[] G)	Constructor using the default scale (1.0).
	FourierDescriptor(Complex[] G, double scale)	Constructor using a specific scale.

Uses of Complex in imagingbook.common.geometry.moments

Methods in imagingbook.common.geometry.moments that return Complex

Modifier and Type	Method	Description
Complex	FlusserMoments.getComplexMoment(int p, int q)	Returns the scale-normalized complex moment of order (p,q) for the 2D point set associated with this FlusserMoments instance.
Complex	FlusserMoments.getScaleNormalizedMoment(int p, int q)	Returns the scale-normalized complex moment of order (p,q) for the specified set of 2D points.

Uses of Complex in imagingbook.common.math

Fields in imagingbook.common.math declared as Complex

Modifier and Type	Field	Description
static final Complex	Complex.I	Constant - imaginary unit value (z = 0 + i 1).
static final Complex	Complex.ONE	Constant - real unit value (z = 1 + i 0).
static final Complex	Complex.ZERO	Constant - complex zero value (z = 0 + i 0).

Methods in imagingbook.common.math that return Complex

Modifier and Type	Method	Description
Complex	Complex.add(Complex z)	Adds a complex quantity to this complex number and returns a new complex number.
Complex	Complex.conjugate()	Returns the conjugate z* of this complex number, i.e, if z = a + i b then z* = a - i b.
Complex	Complex.multiply(double s)	Multiplies this complex number with the scalar factor s and returns a new complex number.
Complex	Complex.multiply(Complex z)	Multiplies this complex number with another complex quantity and returns a new complex number.
Complex	Complex.pow(int k)	Returns of value of this complex number (z) raised to the power k (integer).
Complex	Complex.rotate(double phi)	Rotates this complex number by angle phi and returns the resulting complex number.

Methods in imagingbook.common.math with parameters of type Complex

Modifier and Type	Method	Description
Complex	Complex.add(Complex z)	Adds a complex quantity to this complex number and returns a new complex number.
boolean	Complex.equals(Complex z, double tolerance)	Checks if the given Complex quantity is equal to this Complex quantity.
Complex	Complex.multiply(Complex z)	Multiplies this complex number with another complex quantity and returns a new complex number.

Constructors in imagingbook.common.math with parameters of type Complex

Modifier	Constructor	Description
	Complex(Complex z)	Constructor.