Linguistic complexity is a simple and elegant way of calculating complexity of strings of data. It is based on the concept that the greater the vocabulary one uses, the more complex the data. Until now, it has been used only on one-dimensional data, such as DNA and protein sequences and various human language texts. The basic definition can be extended to higher dimensions, thus allowing a practical and simple calculation of linguistic complexity of images, 3D objects and other multi-dimensional data. A simple extension of linguistic complexity is introduced, followed by 2D presentations and a discussion of parametric considerations. An example of linguistic complexity calculations, demonstrating its image processing and medical diagnostic power is presented. The subjects of this paper are patent application pending.

Key words: Linguistic complexity, Vocabulary, Image processing.