rmaram33 / tracetransform_petrou Goto Github PK

This repository hosts different implementations of the trace transform algorithm, developed as part of a case study comparison.

The trace transform is a radial projection transformation, and can be viewed as a generalization of the Radon transform. The transformation allows to construct image features that are invariant to a chosen group of image transformations.

Relevant papers are:

• A. Kadyrov and M. Petrou, The trace transform and its applications
• M. Petrou and A. Kadyrov, Affine invariant features from the trace transform
• A. Frías-Velézquez et al., Object identification by using orthonormal circus functions from the trace transform
• T. Besard and A. Frías-Velézquez, Case study of multiple trace transform implementations

The implementations in this repository only implement part of the trace transform, namely the sinogram and circus function calculation, with some implementations optionally supporting orthonormal circus functions. Also, the circus functions are the raw signatures without the normalization suggested by Petrou.

• matlab: original MATLAB implementation
• matlab-mex: MATLAB version with most of the sinogram calculation ported over to MEX
• octave: port of the MATLAB version to Octave (minimal differences)
• scilab: port of the MATLAB version to Scilab (limited differences, but more than with Octave)
• julia: version for Julia, tested on v0.3
• c++: low-level version in C++, using Eigen for matrix calculations
• openmp: C++ version with OpenMP annotations (minimal differences)
• cuda: heavily-optimised version for NVIDIA GPUs, with most of the computations reimplemented in CUDA-C

All code is licensed under the GNU General Public License v3. See the COPYING document for more information.

For more information, you can contact:

• Andrés Frías-Velézquez [email protected]: developer of the MATLAB implementations, and researcher behind the orthonormal circus functions
• Tim Besard [email protected]: developer of the other implementations