The use of the asymptotic expansion to speed up the computation of a series of spherical harmonics

J.C. de Munck, J.C. de Munck, M.S. Hämäläinen, M.J. Peters

Research output: Contribution to journalArticleAcademic

7 Citations (Scopus)
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Abstract

When a function is expressed as an infinite series of spherical harmonics the convergence can be accelerated by subtracting its asymptotic expansion and adding it in analytically closed form. In the present article this technique is applied to two biophysical cases: to the potential distribution in a spherically symmetric volume conductor and to the covariance matrix of biomagnetic measurements.
Original languageUndefined
Pages (from-to)83-87
Number of pages5
JournalClinical physics and physiological measurement
Volume12
Issue numberSuppl. A
DOIs
Publication statusPublished - 1991

Keywords

  • METIS-129057
  • IR-97888

Cite this

de Munck, J.C. ; de Munck, J.C. ; Hämäläinen, M.S. ; Peters, M.J. / The use of the asymptotic expansion to speed up the computation of a series of spherical harmonics. In: Clinical physics and physiological measurement. 1991 ; Vol. 12, No. Suppl. A. pp. 83-87.
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The use of the asymptotic expansion to speed up the computation of a series of spherical harmonics. / de Munck, J.C.; de Munck, J.C.; Hämäläinen, M.S.; Peters, M.J.

In: Clinical physics and physiological measurement, Vol. 12, No. Suppl. A, 1991, p. 83-87.

Research output: Contribution to journalArticleAcademic

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T1 - The use of the asymptotic expansion to speed up the computation of a series of spherical harmonics

AU - de Munck, J.C.

AU - de Munck, J.C.

AU - Hämäläinen, M.S.

AU - Peters, M.J.

PY - 1991

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AB - When a function is expressed as an infinite series of spherical harmonics the convergence can be accelerated by subtracting its asymptotic expansion and adding it in analytically closed form. In the present article this technique is applied to two biophysical cases: to the potential distribution in a spherically symmetric volume conductor and to the covariance matrix of biomagnetic measurements.

KW - METIS-129057

KW - IR-97888

U2 - 10.1088/0143-0815/12/A/016/meta

DO - 10.1088/0143-0815/12/A/016/meta

M3 - Article

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JO - Clinical physics and physiological measurement

JF - Clinical physics and physiological measurement

SN - 0143-0815

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