File HermiteTransformMatrix.h¶
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namespace
lsst Class for a simple mapping implementing a generic AstrometryTransform.
Remove all non-astronomical counts from the Chunk Exposure’s pixels.
Forward declarations for lsst::utils::Cache
For details on the Cache class, see the Cache.h file.
It uses a template rather than a pointer so that the derived classes can use the specifics of the transform. The class simplePolyMapping overloads a few routines.
A base class for image defects
Numeric constants used by the Integrate.h integrator routines.
Compute Image Statistics
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Gauss-Kronrod-Patterson quadrature coefficients for use in quadpack routine qng. These coefficients were calculated with 101 decimal digit arithmetic by L. W. Fullerton, Bell Labs, Nov 1981.
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The Statistics class itself can only handle lsst::afw::image::MaskedImage() types. The philosophy has been to handle other types by making them look like lsst::afw::image::MaskedImage() and reusing that code. Users should have no need to instantiate a Statistics object directly, but should use the overloaded makeStatistics() factory functions.
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namespace
shapelet -
class
HermiteTransformMatrix - #include <HermiteTransformMatrix.h>
A class that computes a matrix that applies a linear transform to a 2-d Hermite polynomial expansion.
Let
\[ Z_{\boldsymbol{n}}\!(\boldsymbol{x}) \equiv \mathcal{H}_{n_0}\!(x_0)\;\mathcal{H}_{n_1}\!(x_1) \]where\[ \mathcal{H}_n(x)=(2^n \pi^{1/2} n!)^{-1/2}H_n(x) \]is the \(i\)th “alternate” Hermite polynomial. This function computes the matrix \(\boldsymbol{Q}(\boldsymbol{U})\) given a linear transform \(\boldsymbol{U}\) such that\[ Z_{\boldsymbol{m}}\!(\boldsymbol{U}\boldsymbol{x}) = \sum_{\boldsymbol{n}} Q_{\boldsymbol{m},\boldsymbol{n}}\!(\boldsymbol{U})\,Z_{\boldsymbol{n}}\!(\boldsymbol{x}) \]Public Functions
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Eigen::MatrixXd
compute(Eigen::Matrix2d const &transform) const Compute the matrix for a new linear transform.
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Eigen::MatrixXd
compute(geom::LinearTransform const &transform) const Compute the matrix for a new linear transform.
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Eigen::MatrixXd
compute(Eigen::Matrix2d const &transform, int order) const Compute the matrix for a new linear transform at the given order (must be <= getOrder()).
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Eigen::MatrixXd
compute(geom::LinearTransform const &transform, int order) const Compute the matrix for a new linear transform at the given order (must be <= getOrder()).
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Eigen::MatrixXd
getCoefficientMatrix() const Return the matrix that maps (1-d) regular polynomials to the alternate Hermite polynomials.
The matrix is always lower triangular, and has size equal to getOrder()+1.
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Eigen::MatrixXd
getInverseCoefficientMatrix() const Return the matrix that maps (1-d) alternate Hermite polynomials to regular polynomials.
The matrix is always lower triangular, and has size equal to getOrder()+1.
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int
getOrder() const Return the maximum order at which the matrix can be computed.
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HermiteTransformMatrix(int order) Construct an instance able to compute the transform matrix at up to the given order.
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Eigen::MatrixXd
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class