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        <identifier>oai:www.ideals.illinois.edu:2142/99197</identifier>
        <datestamp>2023-07-11</datestamp>
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        <thesis xmlns="http://www.ndltd.org/standards/metadata/etdms/1.1/" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns:dc="http://purl.org/dc/elements/1.1/" xsi:schemaLocation="http://www.ndltd.org/standards/metadata/etdms/1.1/ http://www.ndltd.org/standards/metadata/etdms/1.1/etdms11.xsd http://purl.org/dc/elements/1.1/ http://www.ndltd.org/standards/metadata/etdms/1.1/etdmsdc.xsd">
          <dc:contributor>Shao, Chenhui</dc:contributor>
          <dc:creator>Yang, Yuhang</dc:creator>
          <dc:date>2018-03-13T15:21:07Z</dc:date>
          <dc:date>2018-03-13T15:21:07Z</dc:date>
          <dc:date>2020-03-14T09:15:28Z</dc:date>
          <dc:date>2017-11-14</dc:date>
          <dc:date>2017-12</dc:date>
          <dc:description>High-resolution spatial data is essential for characterizing and monitoring surface quality in manufacturing. However, the measurement of high-resolution spatial data is generally expensive and time-consuming. Interpolation based on spatial models is a typical approach to cost-effectively acquire high-resolution data. However, conventional modeling methods fail to adequately model the spatial correlation induced by periodicity, and thus their interpolation precision is limited. In this paper, we propose a Bessel-based periodic variogram model, which enables kriging, a geostatistical interpolation method, to achieve accurate interpolation performance for common periodic surfaces. In addition, parameters of the proposed model provide valuable insights for the characterization and monitoring of spatial processes in manufacturing. Both simulated and real-world case studies are presented to demonstrate the effectiveness of the proposed method.</dc:description>
          <dc:description>Submission published under a 24 month embargo labeled 'U of I Access', the embargo will last until 2019-12-01</dc:description>
          <dc:description>The student, Yuhang Yang, accepted the attached license on 2017-11-14 at 10:30.</dc:description>
          <dc:description>The student, Yuhang Yang, submitted this Thesis for approval on 2017-11-14 at 10:43.</dc:description>
          <dc:description>This Thesis was approved for publication on 2017-11-14 at 13:39.</dc:description>
          <dc:description>DSpace SAF Submission Ingestion Package generated from Vireo submission #11719 on 2018-03-13 at 09:55:40</dc:description>
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YANG-THESIS-2017.pdf: 10184196 bytes, checksum: d4705d69f3547d0cf220bde671b0cdca (MD5)
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  Previous issue date: 2017-11-14</dc:description>
          <dc:description>Embargo set by: Seth Robbins for item 105159
Lift date: 2020-03-13T15:21:19Z
Reason: Author requested U of Illinois access only (OA after 2yrs) in Vireo ETD system</dc:description>
          <dc:description>Embargo set by: Seth Robbins for item 105159
Lift date: 2020-03-13T15:25:40Z
Reason: Author requested U of Illinois access only (OA after 2yrs) in Vireo ETD system</dc:description>
          <dc:description>Embargo set by: Seth Robbins for item 105159
Lift date: 2020-03-13T15:28:52Z
Reason: Author requested U of Illinois access only (OA after 2yrs) in Vireo ETD system</dc:description>
          <dc:description>U of I Only Restriction Lifted for Item 105159 on 2020-03-14T09:15:28Z.</dc:description>
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          <dc:identifier>http://hdl.handle.net/2142/99197</dc:identifier>
          <dc:language>en</dc:language>
          <dc:rights>Copyright 2017 Yuhang Yang</dc:rights>
          <dc:subject>Spatial modeling</dc:subject>
          <dc:subject>Variogram</dc:subject>
          <dc:subject>Kriging</dc:subject>
          <dc:subject>Interpolation</dc:subject>
          <dc:subject>Periodic surface</dc:subject>
          <dc:subject>Manufacturing</dc:subject>
          <dc:subject>Ultrasonic metal welding</dc:subject>
          <dc:title>Spatial modeling for periodic surfaces in manufacturing</dc:title>
          <dc:type>text</dc:type>
          <dc:type>text</dc:type>
          <degree>
            <department>Mechanical Sci &amp; Engineering</department>
            <discipline>Mechanical Engineering</discipline>
            <grantor>University of Illinois at Urbana-Champaign</grantor>
            <level>Thesis</level>
            <name>M.S.</name>
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