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Abstract.In tomography an image is reconstructed from its projections from different directions. In this paper we study the reconstruction of a tomographic image from the wavelet transform of its projections with a 1-D analyzing wavelet. We then show that it allows us to reconstruct a 2-D wavelet decomposition of the image. The properties of the generated 2-D analyzing wavelet are studied. When the 1-D analyzing wavelet is even, the 2-D analyzing wavelet is isotropic. The extension of this idea to directional wavelets is also presented. The wavelet transform obtained in this case is defined with respect to a scale parameter and a rotation angle. For illustration, results on simulated and x-ray computerized tomography medical images are presented.

Abstract. This paper presents the implementation of an adaptive contour detection filter on field programmable gate array (FPGA) using a combination of hardware and software components. The proposed system locates contours from a calculation of Gradient in preferred directions while quantifying the importance of the outline with a wise thresholding. The dedicated algorithm is implemented in an FPGA Xilinx Spartan 6, and results are displayed in a VGA monitor. The FPGA offers the necessary performance for image processing and video in real time, while maintaining the flexibility of the system to support an adaptive algorithm. Simulation results and synthesis proposed edge detection processor on FPGA chip demonstrate the efficiency of proposed architecture.

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