Minimizing Common Errors When Projecting Geospatial Data Onto a Vortex‐Centered Space

Ahern Kyle; Cowan Levi

摘要

Abstract >The problem of transforming geospatial data into polar coordinates, a common task in the analysis of data centered on geophysical phenomena, is examined. The azimuthal equidistant projection is shown to be the optimal transform for this purpose. A mathematical and observational analysis of the errors incurred by using a common alternative transform is conducted and reveals that such errors can be significant at radii as small as a few hundred kilometers. When evaluating observed 200‐hPa wind fields near Atlantic tropical cyclones (TCs), median azimuthal maximum errors in total and radial wind range up to 10% within 700?km of the TC and up to 50% within 1,600?km of the TC. Errors are shown to depend strongly on the statistical characteristics of the data set and increase nonlinearly with latitude and radius. </abstract> </span> <span class="z_kbtn z_kbtnclass hoverxs" style="display: none;">展开▼</span> </div> <div class="translation abstracttxt"> <span class="zhankaihshouqi fivelineshidden" id="abstract"> <span>机译：</span><Abstract Type =“main”XML：Lang =“en”XML：ID =“Grl58201-Abs-abs-0001”> <标题类型=“main”>抽象</ title> >将地理空间数据转换为极性的问题坐标，检查了在地球物理现象的数据分析中的共同任务。为此目的示出了方位角等距投影是为此目的的最佳变换。进行了使用常见替代变换产生的误差的数学和观察分析，并揭示了在半径为几百公里的半径下的误差。在评估大西洋热带气旋（TCS）附近的观察到的200-HPA风场时，总和径向风的中位数最大误差范围高达10％，在TC的700 km内，在TC的1,600 km内达到50％。错误显示错误依赖于数据集的统计特征，并与纬度和半径非线性增加。</ p> </ abstract> </span> <span class="z_kbtn z_kbtnclass hoverxs" style="display: none;">展开▼</span> </div> </div> <div class="record"> <h2 class="all_title" id="enpatent33" >著录项</h2> <ul> <li> <span class="lefttit">来源</span> <div style="width: 86%;vertical-align: text-top;display: inline-block;"> <a href='/journal-foreign-23539/'>《Geophysical Research Letters》</a> <b style="margin: 0 2px;">|</b><span>2018年第21期</span><b style="margin: 0 2px;">|</b><span>共8页</span> </div> </li> <li> <div class="author"> <span class="lefttit">作者</span> <p id="fAuthorthree" class="threelineshidden zhankaihshouqi"> <a href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=Ahern Kyle&option=202" target="_blank" rel="nofollow">Ahern Kyle;</a> <a href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=Cowan Levi&option=202" target="_blank" rel="nofollow">Cowan Levi;</a> </p> <span class="z_kbtnclass z_kbtnclassall hoverxs" id="zkzz" style="display: none;">展开▼</span> </div> </li> <li> <div style="display: flex;"> <span class="lefttit">作者单位</span> <div style="position: relative;margin-left: 3px;max-width: 639px;"> <div class="threelineshidden zhankaihshouqi" id="fOrgthree"> <p>Department of Earth Ocean and Atmospheric ScienceFlorida State UniversityTallahassee FL USA;</p> <p>Department of Earth Ocean and Atmospheric ScienceFlorida State UniversityTallahassee FL USA;</p> </div> <span class="z_kbtnclass z_kbtnclassall hoverxs" id="zhdw" style="display: none;">展开▼</span> </div> </div> </li> <li > <span class="lefttit">收录信息</span> <span style="width: 86%;vertical-align: text-top;display: inline-block;"></span> </li> <li> <span class="lefttit">原文格式</span> <span>PDF</span> </li> <li> <span class="lefttit">正文语种</span> <span>eng</span> </li> <li> <span class="lefttit">中图分类</span> <span><a href="https://www.zhangqiaokeyan.com/clc/163.html" title="地球物理学">地球物理学;</a></span> </li> <li class="antistop"> <span class="lefttit">关键词</span> <p style="width: 86%;vertical-align: text-top;"> <a style="color: #3E7FEB;" href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=vortex&option=203" rel="nofollow">vortex;</a> <a style="color: #3E7FEB;" href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=projection&option=203" rel="nofollow">projection;</a> <a style="color: #3E7FEB;" href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=data&option=203" rel="nofollow">data;</a> <a style="color: #3E7FEB;" href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=tropical cyclone&option=203" rel="nofollow">tropical cyclone;</a> <a style="color: #3E7FEB;" href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=error&option=203" rel="nofollow">error;</a> <a style="color: #3E7FEB;" href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=polar coordinates&option=203" rel="nofollow">polar coordinates;</a> </p> <div class="translation"> 机译：涡旋;投影;数据;热带气旋;错误;极坐标; 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</span> <span> . 2004-11-18</span> </div> <p class="zwjiyix translation" style="max-width: initial;height: auto;word-break: break-all;white-space: initial;text-overflow: initial;overflow: initial;"> <span>机译：碟形弹簧具有两个圆形的凸起部分，它们围绕其中心对称分布，两个类似的凸起在其底部下方突出，并且相对于凸起部分均匀分布 </span> </p> </li> <li> <div> <b>4. </b><a class="enjiyixqcontent" href="/patent-detail/06130441377225.html">Disk spring has two raised sections in shape of sectors of circle which are symmetrically spaced about its center, two similar sectors projecting below its base and being uniformly spaced with respect to raised sectors</a> <b>[P]</b> . <span> 外国专利：  DE20320520U1 </span> <span> . 2004-10-14</span> </div> <p class="zwjiyix translation" style="max-width: initial;height: auto;word-break: break-all;white-space: initial;text-overflow: initial;overflow: initial;"> <span>机译：碟形弹簧具有两个圆形的凸起部分，它们围绕其中心对称分布，两个类似的凸起在其底部下方突出，并且相对于凸起部分均匀分布 </span> </p> </li> <li> <div> <b>5. </b><a class="enjiyixqcontent" 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