Abstract—This paper proposes a new coordinate system with flexible extensions to multiple dimensions. The main idea is to provide a scalable representations of arbitrary shapes in digitized manner for an effective and efficient data storage. The application areas stem from object recognition to handwriting analysis. A number of demonstrative examples are given, extensions to 3 dimensional and 1 dimensional cases are discussed. The open issues are also highlighted.

Key words—3D representation, Cartesian coordinates, non-uniform sampling, sequential coordinates

Cevdet Akyel and Gunes Karabulut Kurt are with The Department of Electrical Engineering, Polytechnique Montréal, Montréal, Canada.

Cite:Cevdet Akyel, Gunes Karabulut Kurt, "Sequential Coordinates," International Journal of Applied Physics and Mathematics vol. 13, no. 2, pp. 19-23, 2023.

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