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diff --git a/python/astra/ASTRAProjector.py b/python/astra/ASTRAProjector.py
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+#-----------------------------------------------------------------------
+#Copyright 2013 Centrum Wiskunde & Informatica, Amsterdam
+#
+#Author: Daniel M. Pelt
+#Contact: D.M.Pelt@cwi.nl
+#Website: http://dmpelt.github.io/pyastratoolbox/
+#
+#
+#This file is part of the Python interface to the
+#All Scale Tomographic Reconstruction Antwerp Toolbox ("ASTRA Toolbox").
+#
+#The Python interface to the ASTRA Toolbox is free software: you can redistribute it and/or modify
+#it under the terms of the GNU General Public License as published by
+#the Free Software Foundation, either version 3 of the License, or
+#(at your option) any later version.
+#
+#The Python interface to the ASTRA Toolbox is distributed in the hope that it will be useful,
+#but WITHOUT ANY WARRANTY; without even the implied warranty of
+#MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
+#GNU General Public License for more details.
+#
+#You should have received a copy of the GNU General Public License
+#along with the Python interface to the ASTRA Toolbox. If not, see <http://www.gnu.org/licenses/>.
+#
+#-----------------------------------------------------------------------
+
+import math
+from . import creators as ac
+from . import data2d
+
+
+class ASTRAProjector2DTranspose():
+    """Implements the ``proj.T`` functionality.
+
+    Do not use directly, since it can be accessed as member ``.T`` of
+    an :class:`ASTRAProjector2D` object.
+
+    """
+    def __init__(self, parentProj):
+        self.parentProj = parentProj
+
+    def __mul__(self, data):
+        return self.parentProj.backProject(data)
+
+
+class ASTRAProjector2D(object):
+    """Helps with various common ASTRA Toolbox 2D operations.
+
+    This class can perform several often used toolbox operations, such as:
+
+    * Forward projecting
+    * Back projecting
+    * Reconstructing
+
+    Note that this class has a some computational overhead, because it
+    copies a lot of data. If you use many repeated operations, directly
+    using the PyAstraToolbox methods directly is faster.
+
+    You can use this class as an abstracted weight matrix :math:`W`: multiplying an instance
+    ``proj`` of this class by an image results in a forward projection of the image, and multiplying
+    ``proj.T`` by a sinogram results in a backprojection of the sinogram::
+
+        proj = ASTRAProjector2D(...)
+        fp = proj*image
+        bp = proj.T*sinogram
+
+    :param proj_geom: The projection geometry.
+    :type proj_geom: :class:`dict`
+    :param vol_geom: The volume geometry.
+    :type vol_geom: :class:`dict`
+    :param proj_type: Projector type, such as ``'line'``, ``'linear'``, ...
+    :type proj_type: :class:`string`
+    :param useCUDA: If ``True``, use CUDA for calculations, when possible.
+    :type useCUDA: :class:`bool`
+    """
+
+    def __init__(self, proj_geom, vol_geom, proj_type, useCUDA=False):
+        self.vol_geom = vol_geom
+        self.recSize = vol_geom['GridColCount']
+        self.angles = proj_geom['ProjectionAngles']
+        self.nDet = proj_geom['DetectorCount']
+        nexpow = int(pow(2, math.ceil(math.log(2 * self.nDet, 2))))
+        self.filterSize = nexpow / 2 + 1
+        self.nProj = self.angles.shape[0]
+        self.proj_geom = proj_geom
+        self.proj_id = ac.create_projector(proj_type, proj_geom, vol_geom)
+        self.useCUDA = useCUDA
+        self.T = ASTRAProjector2DTranspose(self)
+
+    def backProject(self, data):
+        """Backproject a sinogram.
+
+        :param data: The sinogram data or ID.
+        :type data: :class:`numpy.ndarray` or :class:`int`
+        :returns: :class:`numpy.ndarray` -- The backprojection.
+
+        """
+        vol_id, vol = ac.create_backprojection(
+            data, self.proj_id, useCUDA=self.useCUDA, returnData=True)
+        data2d.delete(vol_id)
+        return vol
+
+    def forwardProject(self, data):
+        """Forward project an image.
+
+        :param data: The image data or ID.
+        :type data: :class:`numpy.ndarray` or :class:`int`
+        :returns: :class:`numpy.ndarray` -- The forward projection.
+
+        """
+        sin_id, sino = ac.create_sino(data, self.proj_id, useCUDA=self.useCUDA, returnData=True)
+        data2d.delete(sin_id)
+        return sino
+
+    def reconstruct(self, data, method, **kwargs):
+        """Reconstruct an image from a sinogram.
+
+        :param data: The sinogram data or ID.
+        :type data: :class:`numpy.ndarray` or :class:`int`
+        :param method: Name of the reconstruction algorithm.
+        :type method: :class:`string`
+        :param kwargs: Additional named parameters to pass to :func:`astra.creators.create_reconstruction`.
+        :returns: :class:`numpy.ndarray` -- The reconstruction.
+
+        Example of a SIRT reconstruction using CUDA::
+
+            proj = ASTRAProjector2D(...)
+            rec = proj.reconstruct(sinogram,'SIRT_CUDA',iterations=1000)
+
+        """
+        kwargs['returnData'] = True
+        rec_id, rec = ac.create_reconstruction(
+            method, self.proj_id, data, **kwargs)
+        data2d.delete(rec_id)
+        return rec
+
+    def __mul__(self, data):
+        return self.forwardProject(data)