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