Algebra

Extrapolation

colour

Extrapolator([interpolator, method, left, …]) Extrapolates the 1-D function of given interpolator.

Interpolation

colour

KernelInterpolator(x, y[, window, kernel, …]) Kernel based interpolation of a 1-D function.
NearestNeighbourInterpolator(*args, **kwargs) A nearest-neighbour interpolator.
LinearInterpolator(x, y[, dtype]) Linearly interpolates a 1-D function.
NullInterpolator(x, y[, absolute_tolerance, …]) Performs 1-D function null interpolation, i.e.
PchipInterpolator(x, y, *args, **kwargs) Interpolates a 1-D function using Piecewise Cubic Hermite Interpolating Polynomial interpolation.
SpragueInterpolator(x, y[, dtype]) Constructs a fifth-order polynomial that passes through \(y\) dependent variable.
lagrange_coefficients(r[, n]) Computes the Lagrange Coefficients at given point \(r\) for degree \(n\).
TABLE_INTERPOLATION_METHODS Supported table interpolation methods.
table_interpolation(V_xyz, table[, method]) Performs interpolation of given \(V_{xyz}\) values using given interpolation table.

Interpolation Kernels

colour

kernel_nearest_neighbour(x) Returns the nearest-neighbour kernel evaluated at given samples.
kernel_linear(x) Returns the linear kernel evaluated at given samples.
kernel_sinc(x[, a]) Returns the sinc kernel evaluated at given samples.
kernel_lanczos(x[, a]) Returns the lanczos kernel evaluated at given samples.
kernel_cardinal_spline(x[, a, b]) Returns the cardinal spline kernel evaluated at given samples.

Ancillary Objects

colour.algebra

table_interpolation_trilinear(V_xyz, table) Performs trilinear interpolation of given \(V_{xyz}\) values using given interpolation table.
table_interpolation_tetrahedral(V_xyz, table) Performs tetrahedral interpolation of given \(V_{xyz}\) values using given interpolation table.

Coordinates

colour.algebra

cartesian_to_spherical(a) Transforms given Cartesian coordinates array \(xyz\) to Spherical coordinates array \(\rho\theta\phi\) (radial distance, inclination or elevation and azimuth).
spherical_to_cartesian(a) Transforms given Spherical coordinates array \(\rho\theta\phi\) (radial distance, inclination or elevation and azimuth) to Cartesian coordinates array \(xyz\).
cartesian_to_polar(a) Transforms given Cartesian coordinates array \(xy\) to Polar coordinates array \(\rho\phi\) (radial coordinate, angular coordinate).
polar_to_cartesian(a) Transforms given Polar coordinates array \(\rho\phi\) (radial coordinate, angular coordinate) to Cartesian coordinates array \(xy\).
cartesian_to_cylindrical(a) Transforms given Cartesian coordinates array \(xyz\) to Cylindrical coordinates array \(\rho\phi z\) (azimuth, radial distance and height).
cylindrical_to_cartesian(a) Transforms given Cylindrical coordinates array \(\rho\phi z\) (azimuth, radial distance and height) to Cartesian coordinates array \(xyz\).

Geometry

colour.algebra

normalise_vector(a) Normalises given vector \(a\).
euclidean_distance(a, b) Returns the euclidean distance between point arrays \(a\) and \(b\).
extend_line_segment(a, b[, distance]) Extends the line segment defined by point arrays \(a\) and \(b\) by given distance and return the new end point.
intersect_line_segments(l_1, l_2) Computes \(l_1\) line segments intersections with \(l_2\) line segments.

Ancillary Objects

colour.algebra

LineSegmentsIntersections_Specification Defines the specification for intersection of line segments \(l_1\) and \(l_2\) returned by colour.algebra.intersect_line_segments() definition.

Matrix

colour.algebra

is_identity(a[, n]) Returns if \(a\) array is an identity matrix.

Random

colour.algebra

random_triplet_generator(size[, limits, …]) Returns a generator yielding random triplets.

Regression

colour.algebra

least_square_mapping_MoorePenrose(y, x) Computes the least-squares mapping from dependent variable \(y\) to independent variable \(x\) using Moore-Penrose inverse.

Common

colour.algebra

is_spow_enabled() Returns whether Colour safe / symmetrical power function is enabled.
set_spow_enable(enable) Sets Colour safe / symmetrical power function enabled state.
spow_enable(enable) A context manager and decorator temporarily setting Colour safe / symmetrical power function enabled state.
spow(a, p) Raises given array \(a\) to the power \(p\) as follows: \(sign(a) * |a|^p\).