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| · | 2D Positive definite Toeplitz Systems: Studying and enhancing a wide spread families of Toeplitz matrix inversion, and linear prediction Algorithms. My main objective is to fully adapt Multi-channel Algorithms (WWR, 2D Burg Algorithm) to the 2D case, and to the more general ND case. Application areas include Adaptive Signal Processing for Radar signals, SAR, 3D and 3D magnetic resonance medical imaging IMR, and Linear Autoregressive signal compression. |
| · | Vectorial Image Quantization: Image Quantization is a well-known method for image and signal compression. In this method the image compression is done first by segmenting the image into a grid of blocks, and then followed by an optimization process to replace this group of blocks with another set of blocks with lesser number of elements. |
| · | Object Perception: In connection to image compression and object identification, Object Perception is a new concept that I tried to develop during the period of my thesis. Object Identification is a very important field, which had a lot of attention from researchers from all over the world. The new in Object Perception concept is the independence of the identification process from any A Priori information, and its functional nature with a direct connection to Object Oriented Programming. The main characteristic of an Object Perception autonomous process is the adaptability to multiple object definition and eventually being able to provide a reasonable Projection toward signal development and signal interpretation. |