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Comp."],"abstract":"<p>\n                    When a moving frame defined along a space curve is required to keep an axis aligned with the tangent direction of motion, the use of rotation-minimizing frames (RMF) avoids unnecessary rotations in the normal plane. The construction of rigid body motions using a specific subset of quintic curves with rational RMFs (RRMFs) is here considered. In particular, a novel geometric characterization of such subset enables the design of a local algorithm to interpolate an assigned stream of positions, together with an initial frame orientation. To achieve this, the translational part of the motion is described by a parametric\n                    <inline-formula content-type=\"math\/mathml\">\n                      <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" alttext=\"upper G Superscript 1\">\n                        <mml:semantics>\n                          <mml:msup>\n                            <mml:mi>G<\/mml:mi>\n                            <mml:mn>1<\/mml:mn>\n                          <\/mml:msup>\n                          <mml:annotation encoding=\"application\/x-tex\">G^1<\/mml:annotation>\n                        <\/mml:semantics>\n                      <\/mml:math>\n                    <\/inline-formula>\n                    spline curve whose segments are quintic RRMFs, with a globally continuous piecewise RRMF. A selection of numerical experiments illustrates the performances of the proposed method on synthetic and arbitrary data streams.\n                  <\/p>","DOI":"10.1090\/mcom\/4100","type":"journal-article","created":{"date-parts":[[2025,5,28]],"date-time":"2025-05-28T10:56:04Z","timestamp":1748429764000},"page":"1927-1959","source":"Crossref","is-referenced-by-count":0,"title":["Piecewise rational rotation-minimizing motions via data stream interpolation"],"prefix":"10.1090","volume":"95","author":[{"given":"Carlotta","family":"Giannelli","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Lorenzo","family":"Sacco","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Alessandra","family":"Sestini","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Zbyn\u011bk","family":"\u0160\u00edr","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"14","published-online":{"date-parts":[[2025,5,28]]},"reference":[{"key":"1","doi-asserted-by":"publisher","first-page":"246","DOI":"10.2307\/2319846","article-title":"There is more than one way to frame a curve","volume":"82","author":"Bishop, Richard L.","year":"1975","journal-title":"Amer. 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