Locally Supported Kernels for Spherical Spline Interpolation

Michael Schreiner
<span title="">1997</span> <i title="Elsevier BV"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/ajfp2t4ucrcbxh6e6fdg6pwf74" style="color: black;">Journal of Approximation Theory</a> </i> &nbsp;
By the use of locally supported basis functions for spherical spline interpolation the applicability of this approximation method is spread out since the resulting interpolation matrix is sparse and thus efficient solvers can he used. In this paper we study locally supported kernels in detail. Investigations on the Legendre coefficients allow a characterization of the underlying Hilbert space structure. We show how spherical spline interpolation with polynomial precision can be managed with
more &raquo; ... lly supported kernels, thus giving the possibility to combine approximation techniques based on spherical harmonic expansions with those based on locally supported kernels.
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1006/jath.1997.3037">doi:10.1006/jath.1997.3037</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/5zmghaxak5eepa5shbzixtfnm4">fatcat:5zmghaxak5eepa5shbzixtfnm4</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20180721071413/https://kluedo.ub.uni-kl.de/frontdoor/deliver/index/docId/572/file/gruen_140.pdf" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/dd/89/dd895901c5ca4e51db1f45294dd7000babec6903.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1006/jath.1997.3037"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="external alternate icon"></i> Publisher / doi.org </button> </a>