A 3D iterative deprojection technique. I. Development of the algorithm and tests.

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Techniques: Image Processing, Methods: Numerical, Planetary Nebulae: General

Scientific paper

The improvement of numerical simulations of astronomical objects to more than one dimension makes it desirable to do the same step for reconstruction techniques. The iterative algorithm presented here solves one, two and threedimensional deprojection problems in cylindrical coordinates, allowing the presence of noise. Coupled deconvolution of a point spread function in the observed image is possible. Empirical studies show that a projection can be explained by an inclination angle i of the spatial symmetry axis (with i relative to the line of sight) higher than the original one used in the projection, and that a deprojection with wellknown i becomes increasingly ambiguous below i=60deg . The synthetic data sets used for the tests include the ideal, noise-free case and realistic sets with seeing, background correction errors and Poisson noise.

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