Scientific article

Domain-Informed Spline Interpolation

Published inIEEE Transactions on Signal Processing, vol. 67, no. 15, p. 3909-3921
Publication date2019

Standard interpolation techniques are implicitly based on the assumption that the signal lies on a single homogeneous domain. In contrast, many naturally occurring signals lie on an inhomogeneous domain, such as brain activity associated to different brain tissue. We propose an interpolation method that instead exploits prior information about domain inhomogeneity, characterized by different, potentially overlapping, subdomains. As proof of concept, the focus is put on extending conventional shift-invariant B-spline interpolation. Given a known inhomogeneous domain, B-spline interpolation of a given order is extended to a domain-informed, shift-variant interpolation. This is done by constructing a domain-informed generating basis that satisfies stability properties. We illustrate example constructions of domain-informed generating basis and show their property in increasing the coherence between the generating basis and the given inhomogeneous domain.

  • Splines (mathematics)
  • Interpolation
  • Nonhomogeneous media
  • Image resolution
  • Kernel
  • Brain
  • Standards
Citation (ISO format)
BEHJAT, Hamid et al. Domain-Informed Spline Interpolation. In: IEEE Transactions on Signal Processing, 2019, vol. 67, n° 15, p. 3909–3921. doi: 10.1109/TSP.2019.2922154
Main files (1)
Article (Published version)
ISSN of the journal1053-587X

Technical informations

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