Local Approximation Signal and Image Processing

Scale-Adaptive Inverse in 3D Imaging

for MATLAB version 6.5 or later

The MATLAB routine Scale-Adaptive Inverse in 3D Imaging implements reconstruction of a 3D object from its 2D blurred and noisy observations. The problem of reconstruction arises in the area of fluorescence microscopy imaging which is called optical sectioning. One can see well only the focused areas of an object, observing it in a microscope or another optical device, while others are seen as blurred. The aim is to reconstruct a real 3D object from a set of 2D observations taken by changing focus of an optical system. The proposed routine implements a recent new development in the area of statistical scale-adaptive local approximation techniques.

The main algorithm is prepared as demo, so that it can be executed in a straightforward manner. This demo reproduces figures and results from the paper:
PDF

Paliy, D., V. Katkovnik, and K. Egiazarian, “Scale-Adaptive Inverse in 3D Imaging”, Proc. Int. TICSP Workshop Spectral Meth. Multirate Signal Process., SMMSP 2005, Riga, 2005.

The provided demo is open-source, and may be modified and tuned to be exploited with other data. This DemoBox is available free-of-charge for educational and non-profit scientific research, enabling others researchers to understand and reproduce our work. Any unauthorized use of the LASIP routines for industrial or profit-oriented activities is expressively prohibited.

The main routine provided in this DemoBox is the following:

demo_3DInverse.m (updated January 2008)

Reconstruction of 3D objects from 2D blurred and noisy observations.
The restoration scheme incorporates the regularized inverse (RI) and regularized Wiener inverse (RWI) filters in combination with the LPA-ICI denoising.

Any unauthorized use of the LASIP routines for industrial or profit-oriented activities is expressively prohibited. By downloading any of the LASIP files, you implicitly agree to all the terms of the LASIP limited license

CLICK HERE TO DOWNLOAD .ZIP PACKAGE

Tampere University of Technology - Department of Signal Processing - Transforms and Spectral Methods Group