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Efficient representation of contours using splines implemented with FIR filters
Ferrer Arnau, Luis Jorge; Parisi Baradad, Vicenç; Reig Bolano, Ramon; Marti Puig, Pere; Manjabacas, A.
Universitat Politècnica de Catalunya. Departament d'Enginyeria Electrònica; Universitat Politècnica de Catalunya. TIEG - Grup d'Electrònica Industrial Terrassa
The interpolation of contour pixels, with splines, of an order greater than or equal to two, usually causes oscillations that do not fit the original shape. To overcome this we propose using a least squares filter before carrying out the interpolation. This results in a good compromise between the smoothness of the curve and the best fit to the original contour. Representing the contour with a continuous model instead of a discrete model has many advantages for carrying out calculations, as for example the contour curvature, which involves first and second order derivatives, as well as operations that are not well defined in the discrete world. We also present a new way of calculating FIR approximations to filters based on B-splines. The great advantage of this approximation in the case of least squares filter is that it does not need downsampling. This property makes it invariant to translations, and this is very important in classification tasks.
Peer Reviewed
Àrees temàtiques de la UPC::Enginyeria electrònica i telecomunicacions::Processament del senyal::Processament de la imatge i del senyal vídeo
Àrees temàtiques de la UPC::Enginyeria electrònica i telecomunicacions::Processament del senyal::Reconeixement de formes
Àrees temàtiques de la UPC::Enginyeria agroalimentària::Ciències de la terra i de la vida::Biologia
Otoliths
Image processing
Splines
Pattern recognition systems--Data processing
Otòlits
Imatges -- Processament
Fons marins -- Investigació
Splines (Matemàtica)
Reconeixement de formes (Informàtica)
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