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An approach based on applying Delaunay triangulation to the compression of mean values of image blocks that have non-identical shape and size is proposed. It can be useful for image compression methods that require the use of image partition schemes with non-equal block sizes, such as fractal and DCT-based image coding. Some aspects of practical realisation of the proposed method are discussed. Evaluation of the performance of the proposed method is carried out and comparisons with some conventional methods are made, demonstrating the potential of the method.