Document Zbl 0692.65003

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L.</a></div> <h2 class="title"> <strong>Theory and applications of the multiquadric-biharmonic method. 20 years of discovery 1968-1988.</strong> <i>(English)</i> <a class="label nowrap" href="/0692.65003">Zbl 0692.65003</a> </h2> <div class="source"> <a href="/serials/62" title="Journal Profile">Comput. Math. Appl.</a> <a href="/?q=in%3A221197" title="Articles in this Issue">19, No. 8-9, 163-208 (1990)</a>. </div> <div class="abstract">Review paper on the MQ-B method and its applications in geodesy, geophysics, surveying and mapping; photogrammetry, remote sensity and signal processing; geography and digital terrain models; hydrology.</div> <div class="clear"></div> <br> <div class="citations"><div class="clear"><a href="/?q=ci%3A4133389">Cited in <strong>4</strong> Reviews</a></div><div class="clear"><a href="/?q=rf%3A4133389">Cited in <strong>243</strong> Documents</a></div></div> <div class="classification"> <h3>MSC:</h3> <table><tr> <td> <a class="mono" href="/classification/?q=cc%3A65D10" title="MSC2020">65D10</a> </td> <td class="space"> Numerical smoothing, curve fitting </td> </tr><tr> <td> <a class="mono" href="/classification/?q=cc%3A65Z05" title="MSC2020">65Z05</a> </td> <td class="space"> Applications to the sciences </td> </tr><tr> <td> <a class="mono" href="/classification/?q=cc%3A86-03" title="MSC2020">86-03</a> </td> <td class="space"> History of geophysics </td> </tr></table> </div><div class="keywords"> <h3>Keywords:</h3><a href="/?q=ut%3Amultiquadric-biharmonic+method">multiquadric-biharmonic method</a>; <a href="/?q=ut%3AReview+paper">Review paper</a>; <a href="/?q=ut%3AMQ-B+method">MQ-B method</a>; <a href="/?q=ut%3Ageodesy">geodesy</a>; <a href="/?q=ut%3Ageophysics">geophysics</a>; <a href="/?q=ut%3Asurveying">surveying</a>; <a href="/?q=ut%3Amapping">mapping</a>; <a href="/?q=ut%3Aphotogrammetry">photogrammetry</a>; <a href="/?q=ut%3Aremote+sensity">remote sensity</a>; <a href="/?q=ut%3Asignal+processing">signal processing</a>; <a href="/?q=ut%3Ageography">geography</a>; <a href="/?q=ut%3Adigital+terrain+models">digital terrain models</a>; <a href="/?q=ut%3Ahydrology">hydrology</a></div>  <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;">  </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function">  <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 0692.65003" data-ciurl="/ci/04133389" data-biburl="/bibtex/04133389.bib" data-amsurl="/amsrefs/04133389.bib" data-xmlurl="/xml/04133389.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/04133389.pdf" title="Zbl 0692.65003 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1016/0898-1221(90)90272-L" aria-label="DOI for “Theory and applications of the multiquadric-biharmonic method. 20 years of discovery 1968-1988”" title="10.1016/0898-1221(90)90272-L">DOI</a> </div> <div class="sfx" style="float: right;"> </div> </div> <div class="references"> <h3>References:</h3> <table><tr> <td>[1]</td> <td class="space">Hardy, R. L., Multiquadric equations of topography and other irregular surfaces, J. geophys. Res., 76, 1905-1915 (1971)</td> </tr><tr> <td>[2]</td> <td class="space">Junkins, J. L.; Miller, G. W.; Jancaitis, J. R., A weighting function approach to modeling of irregular surfaces, J. geophys. Res., 78, 1794-1803 (1971)</td> </tr><tr> <td>[3]</td> <td class="space">Jancaitis, J. R.; Junkins, J. L., Modeling irregular surfaces, Photogramm. Engng, 39, 413-420 (1973)</td> </tr><tr> <td>[4]</td> <td class="space">Chovitz, B. H., Geodetic theory, Rev. geophys. Space Phys., 13, 243-245 (1975)</td> </tr><tr> <td>[5]</td> <td class="space">Anderle, R. J., Status of the geopotential, Rev. geophys. Space Phys., 17, 1421-1424 (1979)</td> </tr><tr> <td>[6]</td> <td class="space">Katsambalos, K. 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P., Area rainfall evaluation using two surface fitting techniques, Bull. int. Ass. Hydrol. Sci., 17, 419-433 (1972)</td> </tr><tr> <td>[32]</td> <td class="space">Brown, D. C., Investigation of the feasibility of a short arc reduction of satellite altimetry for determination of the oceanic geoid, (AFCRL Report No. 73-0520 (1973), Air Force Cambridge Research Laboratories: Air Force Cambridge Research Laboratories Bedford, Mass)</td> </tr><tr> <td>[33]</td> <td class="space">Hadgigeorge, G.; Trotter, J. E., Short arc reductions of Geos-3 altimetric data, Geophys. Res. Lett., 4, 223-226 (1977)</td> </tr><tr> <td>[34]</td> <td class="space">Hardy, R. L.; Göpfert, W. M., Least squares prediction of gravity anomalies, geoidal undulations, and deflections of the vertical with multiquadric harmonic functions, Geophys. Res. 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