Tomographic reconstruction using nonseparable wavelets

Sophie Bonnet , F. Peyrin (1) , F. Turjman (2) , R. Prost (3)

1 Imagerie Tomographique et Radiothérapie
2 CREATIS - Centre de Recherche en Acquisition et Traitement de l'Image pour la Santé
3 Images et Modèles

In this paper, the use of nonseparable wavelets for tomographic reconstruction is investigated. Local tomography is also presented. The algorithm computes both the quincunx approximation and detail coefficients of a function from its projections. Simulation results showed that nonseparable wavelets provide a reconstruction improvement versus separable wavelets.

Mots clés: Image reconstruction; Discrete wavelet transforms; Filters; Computed tomography; Continuous wavelet transforms; Two dimensional displays; Frequency; Approximation algorithms; Computational modeling; Inverse problems

Domaines: Imagerie; Traitement du signal et de l'image [eess.SP]

Sophie Bonnet, F. Peyrin, F. Turjman, R. Prost. Tomographic reconstruction using nonseparable wavelets. IEEE Transactions on Image Processing, 2000, 9 (8), pp.1445-1450. ⟨10.1109/83.855441⟩. ⟨hal-02159089⟩