title: Sampling and reconstruction schemes for biomagnetic sensor arrays.
abstract: In this paper we generalize the approach of Ahonen et al (1993 IEEE Trans. Biomed. Eng. 40 859-69) to two-dimensional non-uniform sampling. The focus is on two main topics: (1) searching for the optimal sensor configuration on a planar measurement surface; and (2) reconstructing the magnetic field (a continuous function) from a discrete set of data points recorded with a finite number of sensors. A reconstruction formula for Bz is derived in the framework of the multidimensional Papoulis generalized sampling expansion (Papoulis A 1977 IEEE Trans. Circuits Syst. 24 652-4, Cheung K F 1993 Advanced Topics in Shannon Sampling and Interpolation Theory (New York: Springer) pp 85-119) in a particular case. Application of these considerations to the design of biomagnetic sensor arrays is also discussed.
authors.affiliation: Dipartimento di Scienze Fisiche, Università di Napoli Federico II, Napoli, Italy. adele.naddeo@na.infn.it
authors.forename: Adele
authors.initials: A
authors.lastname: Naddeo
authors.forename: Stefania
authors.initials: S
authors.lastname: Della Penna
authors.forename: Ciro
authors.initials: C
authors.lastname: Nappi
authors.forename: Emanuele
authors.initials: E
authors.lastname: Vardaci
authors.forename: Vittorio
authors.initials: V
authors.lastname: Pizzella
mesh_terms: D007091:Image Processing, Computer-Assisted / Q000379:methods*; D008280:Magnetics; D015225:Magnetoencephalography / Q000295:instrumentation* / Q000379:methods*; D015233:Models, Statistical; D008962:Models, Theoretical