Landmark-Based Registration of Curves via the Continuous Wavelet Transform

Jérémie Bigot (1)

1 LSP - Laboratoire de Statistique et Probabilités

This paper is concerned with the problem of the alignment of multiple sets of curves. We analyze two real examples arising from the biomedical area for which we need to test whether there are any statistically significant differences between two subsets of subjects. To synchronize a set of curves, we propose a new nonparametric landmark-based registration method based on the alignment of the structural intensity of the zero-crossings of a wavelet transform. The structural intensity is a multiscale technique recently proposed by Bigot (2003, 2005) which highlights the main features of a signal observed with noise. We conduct a simulation study to compare our landmark-based registration approach with some existing methods for curve alignment. For the two real examples, we compare the registered curves with FANOVA techniques, and a detailed analysis of the warping functions is provided.

Mots clés: Curve alignment; Landmark-based registration; Feature detection; Scale-space representation; Wavelets; Zero-crossings lines; Structural intensity; FANOVA; Nonparametric estimation

Domaines: Statistiques [math.ST]; Théorie [stat.TH]

Jérémie Bigot. Landmark-Based Registration of Curves via the Continuous Wavelet Transform. Journal of Computational and Graphical Statistics, 2006, vol. 15, pp. 542-564. ⟨10.1198/106186006X133023⟩. ⟨hal-00823484⟩