Abstract: An image analysis system detects objects and patterns within a digital image. The system includes a synaptic link generator, a knowledge element (knixel) identifier, a theme identifier, and a corresponding theme/knixel associations knowledge base. The synaptic link generator includes a determinant extractor for computing a set of determinants for a plurality of pixels within the digital image. The synaptic link generator uses the determinants to generate a synaptic link for each pixel having a set of determinants and a knowledge element identifier is stored at an address corresponding to each synaptic link. The theme identifier evaluates associative links in a theme knowledge base to determine whether the knowledge elements or other themes identified as being present in the digital image conform to a logical relationship defined by the associative links.