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We will describe a cellular-automaton (CA) LSI that extracts quadrilateral objects, such as box areas filled with the same pixel values, from binary images. We propose an efficient CA algorithm, based on the reaction-diffusion chemical systems model. Each cell in the proposed CA is implemented by a digital circuit called an elemental processor. The CA LSI is constructed by a large number of elemental processors operating in parallel. This parallel operation ensures fast and efficient object extraction when the number of cells (processing pixels) increases. When we assumed a 0.25-μm CMOS process with the proposed circuits, the total area of the elemental processor was approximately 5 by 5 μm2.