• • Part of the book series (LNCS, volume 5707) Abstract During the last decade a lot of effort has been put in studying of the Fourier descriptors (FD) and their application in 2D shape representation and matching. Often FD has been preferred to other approaches (moments, wavelet descriptors) because of their properties which allow their translational, scale, rotational and contour start-point change invariance. However, there is a lack in the literature of extensive theoretical proof of these properties, which can result in inaccuracy in the methods’ implementation. In this paper we propose a detailed theoretical exposition of the FDs’ invariance with special attention paid to the corresponding proofs. A software demonstration has been developed with an application to the medieval Byzantine neume notation as part of our OCR system. Cite this paper as: Dimov D., Laskov L.

(2009) Invariant Fourier Descriptors Representation of Medieval Byzantine Neume Notation. In: Fierrez J., Ortega-Garcia J., Esposito A., Drygajlo A., Faundez-Zanuy M. (eds) Biometric ID Management and Multimodal Communication. Lecture Notes in Computer Science, vol 5707. Springer, Berlin, Heidelberg • DOI • Publisher Name Springer, Berlin, Heidelberg • Print ISBN 978-3-642-04390-1 • Online ISBN 978-3-642-04391-8 • eBook Packages • •.

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