Malgouyres, Rémy and Brunet, Florent and Fourey, Sébastien Coeurjolly, David and Sivignon, Isabelle and Tougne, Laure and Dupont, Florent Binomial Convolutions and Derivatives Estimation from Noisy Discretizations Discrete Geometry for Computer Imagery Springer Berlin / Heidelberg 2008 4992 370-379 Lecture Notes in Computer Science We present a new method to estimate derivatives of digitized functions. Even with noisy data, this approach is convergent and can be computed by using only the arithmetic operations. Moreover, higher order derivatives can also be estimated. To deal with parametrized curves, we introduce a new notion which solves the problem of correspondence between the parametrization of a continuous curve and the pixels numbering of a discrete object. http://dx.doi.org/10.1007/978-3-540-79126-3_33 10.1007/978-3-540-79126-3_33