{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,9,8]],"date-time":"2024-09-08T21:03:54Z","timestamp":1725829434984},"publisher-location":"Cham","reference-count":26,"publisher":"Springer International Publishing","isbn-type":[{"type":"print","value":"9783319243689"},{"type":"electronic","value":"9783319243696"}],"license":[{"start":{"date-parts":[[2015,1,1]],"date-time":"2015-01-01T00:00:00Z","timestamp":1420070400000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"},{"start":{"date-parts":[[2015,1,1]],"date-time":"2015-01-01T00:00:00Z","timestamp":1420070400000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2015]]},"DOI":"10.1007\/978-3-319-24369-6_8","type":"book-chapter","created":{"date-parts":[[2015,9,10]],"date-time":"2015-09-10T22:46:37Z","timestamp":1441925197000},"page":"98-110","update-policy":"http:\/\/dx.doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":7,"title":["A Modified Complete Spline Interpolation and Exponential Parameterization"],"prefix":"10.1007","author":[{"given":"Ryszard","family":"Kozera","sequence":"first","affiliation":[]},{"given":"Lyle","family":"Noakes","sequence":"additional","affiliation":[]},{"given":"Magdalena","family":"Wilko\u0142azka","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2015,10,30]]},"reference":[{"issue":"4B\u201361","key":"8_CR1","first-page":"1","volume":"25","author":"R Kozera","year":"2004","unstructured":"Kozera, R.: Curve modeling via interpolation based on multidimensional reduced data. Studia Informatica 25(4B\u201361), 1\u2013140 (2004)","journal-title":"Studia Informatica"},{"issue":"3","key":"8_CR2","doi-asserted-by":"crossref","first-page":"475","DOI":"10.1090\/qam\/1999832","volume":"61","author":"L Noakes","year":"2003","unstructured":"Noakes, L., Kozera, R.: More-or-less uniform samplings and length of curves. Quarterly of Applied Mathematics 61(3), 475\u2013484 (2003)","journal-title":"Quarterly of Applied Mathematics"},{"key":"8_CR3","volume-title":"A Practical Guide to Spline","author":"C Boor de","year":"1985","unstructured":"de Boor, C.: A Practical Guide to Spline. Springer-Verlag, Heidelberg (1985)"},{"key":"8_CR4","doi-asserted-by":"publisher","DOI":"10.1142\/9789812813381","volume-title":"Methods of Shape-Preserving Spline Approximation","author":"BI Kvasov","year":"2000","unstructured":"Kvasov, B.I.: Methods of Shape-Preserving Spline Approximation. World Scientific, Singapore (2000)"},{"issue":"6","key":"8_CR5","doi-asserted-by":"publisher","first-page":"363","DOI":"10.1016\/0010-4485(89)90003-1","volume":"21","author":"ETY Lee","year":"1989","unstructured":"Lee, E.T.Y.: Choosing nodes in parametric curve interpolation. Computer-Aided Design 21(6), 363\u2013370 (1989)","journal-title":"Computer-Aided Design"},{"key":"8_CR6","series-title":"Computational Imaging and Vision","doi-asserted-by":"publisher","first-page":"59","DOI":"10.1007\/1-4020-3858-8_4","volume-title":"Geometric Properties of Incomplete Data","author":"L Noakes","year":"2006","unstructured":"Noakes, L., Kozera, R.: Cumulative chords piecewise-quadratics and piecewise-cubics. In: Klette, R., Kozera, R., Noakes, L., Weickert, J. (eds.) Geometric Properties of Incomplete Data. Computational Imaging and Vision, vol. 31, pp. 59\u201375. Kluver Academic Publishers, The Netherlands (2006)"},{"issue":"3\u20134","key":"8_CR7","first-page":"267","volume":"61","author":"R Kozera","year":"2004","unstructured":"Kozera, R.: Asymptotics for length and trajectory from cumulative chord piecewise-quartics. Fundamenta Informaticae 61(3\u20134), 267\u2013283 (2004)","journal-title":"Fundamenta Informaticae"},{"key":"8_CR8","doi-asserted-by":"publisher","first-page":"620","DOI":"10.1016\/j.amc.2013.06.060","volume":"221","author":"R Kozera","year":"2013","unstructured":"Kozera, R., Noakes, L.: Piecewise-quadratics and exponential parameterization for reduced data. Applied Mathematics and Computation 221, 620\u2013638 (2013)","journal-title":"Applied Mathematics and Computation"},{"key":"8_CR9","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"430","DOI":"10.1007\/978-3-642-40925-7_40","volume-title":"Computer Information Systems and Industrial Management","author":"R Kozera","year":"2013","unstructured":"Kozera, R., Noakes, L., Szmielew, P.: Trajectory estimation for exponential parameterization and different samplings. In: Saeed, K., Chaki, R., Cortesi, A., Wierzcho\u0144, S. (eds.) CISIM 2013. LNCS, vol. 8104, pp. 430\u2013441. Springer, Heidelberg (2013)"},{"key":"8_CR10","unstructured":"Kozera, R., Noakes, L., Wilko\u0142azka, M.: Piecewise-cubics and exponential parameterization for reduced data (submitted)"},{"issue":"3\u20134","key":"8_CR11","first-page":"285","volume":"61","author":"R Kozera","year":"2004","unstructured":"Kozera, R., Noakes, L.: \n \n \n \n $$C^1$$\n interpolation with cumulative chord cubics. Fundamenta Informaticae 61(3\u20134), 285\u2013301 (2004)","journal-title":"Fundamenta Informaticae"},{"key":"8_CR12","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"crossref","first-page":"9","DOI":"10.1007\/978-3-319-11331-9_2","volume-title":"Computer Vision and Graphics","author":"R Kozera","year":"2014","unstructured":"Kozera, R., Noakes, L., Szmielew, P.: Quartic orders and sharpness in trajectory estimation for smooth cumulative chord cubics. In: Chmielewski, L.J., Kozera, R., Shin, B.-S., Wojciechowski, K. (eds.) ICCVG 2014. LNCS, vol. 8671, pp. 9\u201316. Springer, Heidelberg (2014)"},{"key":"8_CR13","unstructured":"Kozera, R., Noakes, L., Wilko\u0142azka, M.: \n \n \n \n $$C^1$$\n interpolation with cumulative chord cubics and exponential parameterization (submitted)"},{"key":"8_CR14","doi-asserted-by":"publisher","first-page":"25","DOI":"10.1093\/imanum\/dri022","volume":"26","author":"MS Floater","year":"2006","unstructured":"Floater, M.S.: Chordal cubic spline interpolation is fourth order accurate. IMA Journal of Numerical Analysis 26, 25\u201333 (2006)","journal-title":"IMA Journal of Numerical Analysis"},{"key":"8_CR15","unstructured":"Wolfram Mathematica 9, Documentation Center. \n reference.wolfram.com\/mathematica\/guide\/Mathematica.html"},{"key":"8_CR16","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"339","DOI":"10.1007\/3-540-45576-0_20","volume-title":"Digital and Image Geometry","author":"L Noakes","year":"2001","unstructured":"Noakes, L., Kozera, R., Klette, R.: Length estimation for curves with different samplings. In: Bertrand, G., Imiya, A., Klette, R. (eds.) Digital and Image Geometry. LNCS, vol. 2243, pp. 339\u2013351. Springer, Heidelberg (2001)"},{"issue":"18","key":"8_CR17","first-page":"28","volume":"7","author":"M Janik","year":"2013","unstructured":"Janik, M., Kozera, R., Kozio\u0142, P.: Reduced data for curve modeling - applications in graphics, computer vision and physics. Advances in Science and Technology 7(18), 28\u201335 (2013)","journal-title":"Advances in Science and Technology"},{"key":"8_CR18","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-642-59223-2","volume-title":"The NURBS Book","author":"L Piegl","year":"1997","unstructured":"Piegl, L., Tiller, W.: The NURBS Book. Springer, Heidelberg (1997)"},{"key":"8_CR19","unstructured":"Yan-Bin, J.: Polynomial Interpolation. Computer Science Notes 477\/577, Fall, Iowa State University (2014)"},{"issue":"2","key":"8_CR20","doi-asserted-by":"publisher","first-page":"328","DOI":"10.1137\/0715022","volume":"15","author":"DLP Jupp","year":"1978","unstructured":"Jupp, D.L.P.: Approximation to data by splines with free knots. Journal on Numerical Analysis 15(2), 328\u2013343 (1978)","journal-title":"Journal on Numerical Analysis"},{"issue":"2","key":"8_CR21","doi-asserted-by":"publisher","first-page":"74","DOI":"10.1134\/S0361768813020035","volume":"39","author":"DA Budzko","year":"2013","unstructured":"Budzko, D.A., Prokopenya, A.N.: Symbolic-numerical methods for searching equilibrium states in a restricted four-body problem. Programming and Computer Software 39(2), 74\u201380 (2013)","journal-title":"Programming and Computer Software"},{"issue":"2","key":"8_CR22","doi-asserted-by":"publisher","first-page":"123","DOI":"10.1023\/A:1008249420974","volume":"7","author":"R Kozera","year":"1997","unstructured":"Kozera, R.: Uniqueness in shape from shading revisited. Journal of Mathematical Imaging and Vision 7(2), 123\u2013138 (1997)","journal-title":"Journal of Mathematical Imaging and Vision"},{"issue":"11","key":"8_CR23","doi-asserted-by":"publisher","first-page":"1115","DOI":"10.1109\/34.103273","volume":"13","author":"G Taubin","year":"1991","unstructured":"Taubin, G.: Estimation of planar and non-planar space curves defined by implicit equations with applications to edge and range segmentation. IEEE Transactions in Pattern Analysis and Machine Intelligence 13(11), 1115\u20131138 (1991)","journal-title":"IEEE Transactions in Pattern Analysis and Machine Intelligence"},{"key":"8_CR24","doi-asserted-by":"crossref","unstructured":"Circularly symmetrical eikonal equations and non-uniqueness in computer vision. Journal of Mathematical Analysis and Applications 165, 192\u2013215 (1992)","DOI":"10.1016\/0022-247X(92)90075-O"},{"key":"8_CR25","first-page":"95","volume":"5","author":"LM Koci\u0107","year":"1990","unstructured":"Koci\u0107, L.M., Simoncelli, A.C., Della Vecchia, B.: Blending parameterization of polynomial and spline interpolants. Facta Universitatis (NI\u0160), Series Mathematics and Informatics 5, 95\u2013107 (1990)","journal-title":"Facta Universitatis (NI\u0160), Series Mathematics and Informatics"},{"issue":"217","key":"8_CR26","doi-asserted-by":"publisher","first-page":"237","DOI":"10.1090\/S0025-5718-97-00796-5","volume":"66","author":"K M\u00f8rken","year":"1997","unstructured":"M\u00f8rken, K., Scherer, K.: A general framework for high-accuracy parametric interpolation. Mathematics of Computation 66(217), 237\u2013260 (1997)","journal-title":"Mathematics of Computation"}],"container-title":["Lecture Notes in Computer Science","Computer Information Systems and Industrial Management"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/978-3-319-24369-6_8","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,9,17]],"date-time":"2019-09-17T00:05:52Z","timestamp":1568678752000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/978-3-319-24369-6_8"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2015]]},"ISBN":["9783319243689","9783319243696"],"references-count":26,"URL":"https:\/\/doi.org\/10.1007\/978-3-319-24369-6_8","relation":{},"ISSN":["0302-9743","1611-3349"],"issn-type":[{"type":"print","value":"0302-9743"},{"type":"electronic","value":"1611-3349"}],"subject":[],"published":{"date-parts":[[2015]]},"assertion":[{"value":"30 October 2015","order":1,"name":"first_online","label":"First Online","group":{"name":"ChapterHistory","label":"Chapter History"}}]}}