From 12e391254ed3a7cd4574496dc1832618586cf4c8 Mon Sep 17 00:00:00 2001 From: hahnec Date: Mon, 31 Aug 2020 11:02:27 +0200 Subject: [PATCH] feat(mvgd): add analytical solution to MVGD transfer --- color_matcher/__init__.py | 2 +- color_matcher/mvgd_matcher.py | 85 +++++++++++------- docs/build/html/.buildinfo | 2 +- .../html/_static/documentation_options.js | 2 +- docs/build/html/apidoc.html | 41 +++++---- docs/build/html/color_matcher.html | 41 +++++---- docs/build/html/genindex.html | 23 +++-- docs/build/html/index.html | 6 +- docs/build/html/objects.inv | Bin 663 -> 677 bytes docs/build/html/py-modindex.html | 6 +- docs/build/html/readme.html | 6 +- docs/build/html/search.html | 6 +- docs/build/html/searchindex.js | 2 +- 13 files changed, 134 insertions(+), 88 deletions(-) diff --git a/color_matcher/__init__.py b/color_matcher/__init__.py index c897fa7..c710884 100644 --- a/color_matcher/__init__.py +++ b/color_matcher/__init__.py @@ -16,7 +16,7 @@ along with this program. If not, see . """ -__version__ = '0.2.6' +__version__ = '0.3.0' from .top_level import ColorMatcher from .hist_matcher import HistogramMatcher diff --git a/color_matcher/mvgd_matcher.py b/color_matcher/mvgd_matcher.py index 93e9a69..3fe1606 100644 --- a/color_matcher/mvgd_matcher.py +++ b/color_matcher/mvgd_matcher.py @@ -31,7 +31,26 @@ class TransferMVGD(MatcherBaseclass): def __init__(self, *args, **kwargs): super(TransferMVGD, self).__init__(*args, **kwargs) - self._fun = kwargs['fun'] if 'fun' in kwargs else self.mkl_solver + self._fun_dict = {'analytical': self.analytical_solver, 'mkl': self.mkl_solver} + self._fun_name = kwargs['fun'] if 'fun' in kwargs else 'mkl' # use MKL as default + self._fun_call = self._fun_dict[self._fun_name] if self._fun_name in self._fun_dict else self.analytical_solver + + # initialize variables + self.r = np.reshape(self._src, [-1, self._src.shape[2]]) + self.z = np.reshape(self._ref, [-1, self._ref.shape[2]]) + self.cov_r, self.cov_z = np.cov(self.r.T), np.cov(self.z.T) + self.mu_r, self.mu_z = np.mean(self.r, axis=0), np.mean(self.z, axis=0) + + def _init_vars(self): + + self.r = np.reshape(self._src, [-1, self._src.shape[2]]) + self.z = np.reshape(self._ref, [-1, self._ref.shape[2]]) + + self.cov_r = np.cov(self.r.T) + self.cov_z = np.cov(self.z.T) + + self.mu_r = np.mean(self.r, axis=0) + self.mu_z = np.mean(self.z, axis=0) def transfer(self, src: np.ndarray = None, ref: np.ndarray = None, fun: FunctionType = None) -> np.ndarray: """ @@ -41,13 +60,13 @@ def transfer(self, src: np.ndarray = None, ref: np.ndarray = None, fun: Function :param src: Source image that requires transfer :param ref: Palette image which serves as reference :param fun: optional argument to pass a transfer function to solve for covariance matrices - :param t_r: Resulting image after the mapping + :param res: Resulting image after the mapping :type src: :class:`~numpy:numpy.ndarray` :type ref: :class:`~numpy:numpy.ndarray` - :type t_r: :class:`~numpy:numpy.ndarray` + :type res: :class:`~numpy:numpy.ndarray` - :return: **t_r** + :return: **res** :rtype: np.ndarray """ @@ -59,54 +78,54 @@ def transfer(self, src: np.ndarray = None, ref: np.ndarray = None, fun: Function # check if three color channels are provided self.validate_color_chs() - # set solver function for transfer matrix (default is MKL) - self._fun = fun if fun is not None else self._fun + # re-initialize variables to account for change in src and ref when passed to self.transfer() + self._init_vars() - r = np.reshape(src, [-1, src.shape[2]]) - z = np.reshape(ref, [-1, ref.shape[2]]) + # set solver function for transfer matrix + self._fun_call = fun if fun is FunctionType else self._fun_call - cov_r = np.cov(r.T) - cov_z = np.cov(z.T) + # compute transfer matrix + transfer_mat = self._fun_call() - transfer_mat = self._fun(cov_r, cov_z) + # transfer the intensity distributions + res = np.dot((self.r - self.mu_r), transfer_mat) + self.mu_z + res = np.reshape(res, self._src.shape) - mu_r = np.mean(r, axis=0) - mu_z = np.mean(z, axis=0) + return res - t_r = np.dot((r - mu_r), transfer_mat) + mu_z - t_r = np.reshape(t_r, src.shape) - - return t_r - - @staticmethod - def mkl_solver(cov_r: np.ndarray, cov_z: np.ndarray): + def mkl_solver(self): """ - This function computes the transfer matrix based on the Monge-Kantorovich linearization. - :param cov_r: Covariance matrix of source image - :param cov_z: Covariance matrix of reference image - :param transfer_mat: Transfer matrix - - :type cov_r: :class:`~numpy:numpy.ndarray` - :type cov_z: :class:`~numpy:numpy.ndarray` + :return: **transfer_mat**: Transfer matrix :type transfer_mat: :class:`~numpy:numpy.ndarray` - - :return: **transfer_mat** :rtype: np.ndarray """ - [Da2, Ua] = np.linalg.eig(cov_r) + [Da2, Ua] = np.linalg.eig(self.cov_r) Ua = np.array([Ua[:, 2] * -1, Ua[:, 1], Ua[:, 0] * -1]).T Da2[Da2 < 0] = 0 Da = np.diag(np.sqrt(Da2[::-1])) - C = np.dot(Da, np.dot(Ua.T, np.dot(cov_z, np.dot(Ua, Da)))) + C = np.dot(Da, np.dot(Ua.T, np.dot(self.cov_z, np.dot(Ua, Da)))) [Dc2, Uc] = np.linalg.eig(C) Dc2[Dc2 < 0] = 0 Dc = np.diag(np.sqrt(Dc2)) Da_inv = np.diag(1. / (np.diag(Da + np.spacing(1)))) - transfer_mat = np.dot(Ua, np.dot(Da_inv, np.dot(Uc, np.dot(Dc, np.dot(Uc.T, np.dot(Da_inv, Ua.T)))))) + return np.dot(Ua, np.dot(Da_inv, np.dot(Uc, np.dot(Dc, np.dot(Uc.T, np.dot(Da_inv, Ua.T)))))) + + def analytical_solver(self) -> np.ndarray: + """ + An analytical solution to the linear equation system of MVGDs. + + :return: **transfer_mat**: Transfer matrix + :type transfer_mat: :class:`~numpy:numpy.ndarray` + :rtype: np.ndarray + + """ + + cov_r_inv = np.linalg.inv(self.cov_r) + cov_z_inv = np.linalg.inv(self.cov_z) - return transfer_mat + return np.dot(np.dot(np.linalg.pinv(np.dot(self.z-self.mu_z, cov_z_inv)), self.r-self.mu_r), cov_r_inv).T diff --git a/docs/build/html/.buildinfo b/docs/build/html/.buildinfo index b629a5a..8dd1263 100644 --- a/docs/build/html/.buildinfo +++ b/docs/build/html/.buildinfo @@ -1,4 +1,4 @@ # Sphinx build info version 1 # This file hashes the configuration used when building these files. When it is not found, a full rebuild will be done. -config: 8ec35f5b9042021743edef2b406e4e61 +config: 56bf47be1cda60fc3fb79ed2a8f61ee6 tags: 645f666f9bcd5a90fca523b33c5a78b7 diff --git a/docs/build/html/_static/documentation_options.js b/docs/build/html/_static/documentation_options.js index 6b7d23e..dd5b32f 100644 --- a/docs/build/html/_static/documentation_options.js +++ b/docs/build/html/_static/documentation_options.js @@ -1,6 +1,6 @@ var DOCUMENTATION_OPTIONS = { URL_ROOT: document.getElementById("documentation_options").getAttribute('data-url_root'), - VERSION: '0.2.6', + VERSION: '0.3.0', LANGUAGE: 'None', COLLAPSE_INDEX: false, BUILDER: 'html', diff --git a/docs/build/html/apidoc.html b/docs/build/html/apidoc.html index 38db2a3..cbdae39 100644 --- a/docs/build/html/apidoc.html +++ b/docs/build/html/apidoc.html @@ -5,7 +5,7 @@ - API documentation — color-matcher 0.2.6 documentation + API documentation — color-matcher 0.3.0 documentation @@ -29,7 +29,7 @@

Navigation

  • previous |
    • -
  • color-matcher 0.2.6 documentation »
    • +
  • color-matcher 0.3.0 documentation »
  • API documentation
    • @@ -121,23 +121,30 @@

    Class hierarchy +
    +analytical_solver() → numpy.ndarray
    +

    An analytical solution to the linear equation system of MVGDs.

    +
    +
    Returns
    +

    transfer_mat: Transfer matrix

    +
    +
    Return type
    +

    np.ndarray

    +
    +
    +
    +
    -static mkl_solver(cov_r: numpy.ndarray, cov_z: numpy.ndarray)
    +mkl_solver()

    This function computes the transfer matrix based on the Monge-Kantorovich linearization.

    -
    Parameters
    -
      -

    • cov_r (ndarray) – Covariance matrix of source image

      • -

    • cov_z (ndarray) – Covariance matrix of reference image

      • -

    • transfer_mat (ndarray) – Transfer matrix

      • -
    +
    Returns
    +

    transfer_mat: Transfer matrix

    -
    Returns
    -

    transfer_mat

    -
    -
    Return type
    -

    np.ndarray

    +
    Return type
    +

    np.ndarray

    @@ -152,11 +159,11 @@

    Class hierarchyndarray) – Source image that requires transfer

  • ref (ndarray) – Palette image which serves as reference

  • fun – optional argument to pass a transfer function to solve for covariance matrices

    • -

  • t_r (ndarray) – Resulting image after the mapping

    • +

  • res (ndarray) – Resulting image after the mapping

    • Returns
    -

    t_r

    +

    res

    Return type

    np.ndarray

    @@ -244,7 +251,7 @@

    Navigation

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    • -
  • color-matcher 0.2.6 documentation »
    • +
  • color-matcher 0.3.0 documentation »
  • API documentation
    • diff --git a/docs/build/html/color_matcher.html b/docs/build/html/color_matcher.html index 0177de6..af9ea28 100644 --- a/docs/build/html/color_matcher.html +++ b/docs/build/html/color_matcher.html @@ -5,7 +5,7 @@ - color_matcher package — color-matcher 0.2.6 documentation + color_matcher package — color-matcher 0.3.0 documentation @@ -25,7 +25,7 @@

    Navigation

  • modules |
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  • color-matcher 0.2.6 documentation »
    • +
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  • color_matcher package
    • @@ -140,23 +140,30 @@

    Submodules +
    +analytical_solver() → numpy.ndarray
    +

    An analytical solution to the linear equation system of MVGDs.

    +
    +
    Returns
    +

    transfer_mat: Transfer matrix

    +
    +
    Return type
    +

    np.ndarray

    +
    +
    +
    +
    -static mkl_solver(cov_r: numpy.ndarray, cov_z: numpy.ndarray)
    +mkl_solver()

    This function computes the transfer matrix based on the Monge-Kantorovich linearization.

    -
    Parameters
    -
      -

    • cov_r (ndarray) – Covariance matrix of source image

      • -

    • cov_z (ndarray) – Covariance matrix of reference image

      • -

    • transfer_mat (ndarray) – Transfer matrix

      • -
    +
    Returns
    +

    transfer_mat: Transfer matrix

    -
    Returns
    -

    transfer_mat

    -
    -
    Return type
    -

    np.ndarray

    +
    Return type
    +

    np.ndarray

    @@ -171,11 +178,11 @@

    Submodulesndarray) – Source image that requires transfer

  • ref (ndarray) – Palette image which serves as reference

  • fun – optional argument to pass a transfer function to solve for covariance matrices

    • -

  • t_r (ndarray) – Resulting image after the mapping

    • +

  • res (ndarray) – Resulting image after the mapping

    • Returns
    -

    t_r

    +

    res

    Return type

    np.ndarray

    @@ -314,7 +321,7 @@

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    • diff --git a/docs/build/html/genindex.html b/docs/build/html/genindex.html index 0957f07..0d52fed 100644 --- a/docs/build/html/genindex.html +++ b/docs/build/html/genindex.html @@ -5,7 +5,7 @@ - Index — color-matcher 0.2.6 documentation + Index — color-matcher 0.3.0 documentation @@ -25,7 +25,7 @@

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    • @@ -40,6 +40,7 @@

    Index

    _ + | A | C | H | L @@ -77,6 +78,18 @@

    _

    +

    A

    + + +
    +

    C

    -
  • mkl_solver() (color_matcher.mvgd_matcher.TransferMVGD static method) +
  • mkl_solver() (color_matcher.mvgd_matcher.TransferMVGD method)
  • @@ -322,7 +335,7 @@

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    • @@ -104,7 +104,7 @@

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