Regularity analysis of non-uniform data. (English) Zbl 0815.65148
Laurent, Pierre-Jean (ed.) et al., Wavelets, images, and surface fitting. Papers from the 2nd international conference on curves and surfaces, held in Chamonix-Mont-Blanc, France, June 10-16, 1993. Wellesley, MA: A K Peters. 399-406 (1994).
Summary: A particular class of wavelets, derivatives of B-splines, leads to fast and efficient algorithms for contour detection of 1D and 2D signals by a discrete dyadic finite multiscale wavelet analysis. To detect higher order singularities, the multiscale analysis algorithm, with higher order spline wavelets is very simply expressed in terms of B-splines subdivision and differentiation formulas. This formulation allows us to generalize the algorithm for nonuniformly sampled data. This algorithm is used to locate the singularities of a function.
For the entire collection see [Zbl 0805.00017].
For the entire collection see [Zbl 0805.00017].
MSC:
| 65C99 | Probabilistic methods, stochastic differential equations |
| 65D07 | Numerical computation using splines |
| 93E11 | Filtering in stochastic control theory |
| 94A12 | Signal theory (characterization, reconstruction, filtering, etc.) |
| 60G35 | Signal detection and filtering (aspects of stochastic processes) |
