{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,1,7]],"date-time":"2026-01-07T08:00:21Z","timestamp":1767772821563,"version":"3.37.3"},"reference-count":33,"publisher":"Institute of Electrical and Electronics Engineers (IEEE)","issue":"4","license":[{"start":{"date-parts":[[2016,4,1]],"date-time":"2016-04-01T00:00:00Z","timestamp":1459468800000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/ieeexplore.ieee.org\/Xplorehelp\/downloads\/license-information\/IEEE.html"}],"funder":[{"DOI":"10.13039\/501100001868","name":"National Science Council, Taiwan","doi-asserted-by":"publisher","award":["NSC102-2220-E-009-013"],"award-info":[{"award-number":["NSC102-2220-E-009-013"]}],"id":[{"id":"10.13039\/501100001868","id-type":"DOI","asserted-by":"publisher"}]},{"name":"Information and Communications Research Labs, Industrial Technology Research Institute, Taiwan","award":["101-EC-17-A-05-01-1111"],"award-info":[{"award-number":["101-EC-17-A-05-01-1111"]}]},{"name":"National Chip Implementation Center, Taiwan"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["IEEE Trans. Comput."],"published-print":{"date-parts":[[2016,4,1]]},"DOI":"10.1109\/tc.2015.2441696","type":"journal-article","created":{"date-parts":[[2015,6,4]],"date-time":"2015-06-04T15:08:04Z","timestamp":1433430484000},"page":"1158-1164","source":"Crossref","is-referenced-by-count":29,"title":["A Low-Error, Cost-Efficient Design Procedure for Evaluating Logarithms to Be Used in a Logarithmic Arithmetic Processor"],"prefix":"10.1109","volume":"65","author":[{"given":"Chih-Wei","family":"Liu","sequence":"first","affiliation":[]},{"given":"Shih-Hao","family":"Ou","sequence":"additional","affiliation":[]},{"given":"Kuo-Chiang","family":"Chang","sequence":"additional","affiliation":[]},{"given":"Tzung-Ching","family":"Lin","sequence":"additional","affiliation":[]},{"given":"Shin-Kai","family":"Chen","sequence":"additional","affiliation":[]}],"member":"263","reference":[{"journal-title":"VLSI Digital Signal Processing Systems Design and Implementation","year":"1999","author":"parhi","key":"ref33"},{"journal-title":"Real-Time Ray Tracing on a Novel HDTV Framestore","year":"1993","author":"wrigley","key":"ref32"},{"key":"ref31","doi-asserted-by":"publisher","DOI":"10.1109\/DSD.2006.54"},{"key":"ref30","doi-asserted-by":"publisher","DOI":"10.1109\/VTSA.1989.68644"},{"key":"ref10","doi-asserted-by":"publisher","DOI":"10.1109\/TVLSI.2010.2081387"},{"key":"ref11","doi-asserted-by":"publisher","DOI":"10.1109\/MWSCAS.1999.867287"},{"key":"ref12","doi-asserted-by":"publisher","DOI":"10.1109\/TC.2003.1244940"},{"key":"ref13","doi-asserted-by":"publisher","DOI":"10.1109\/JSSC.2006.882887"},{"key":"ref14","doi-asserted-by":"publisher","DOI":"10.1109\/TC.2008.12"},{"key":"ref15","doi-asserted-by":"publisher","DOI":"10.1109\/TCSII.2009.2035270"},{"key":"ref16","doi-asserted-by":"publisher","DOI":"10.1109\/TCSII.2011.2164159"},{"key":"ref17","doi-asserted-by":"publisher","DOI":"10.1109\/ICM.2011.6177377"},{"key":"ref18","first-page":"1","article-title":"A low-error and ROM-free logarithmic arithmetic unit for embedded 3D graphics applications","author":"lin","year":"2013","journal-title":"Proc Int Symp VLSI Des Autom Test"},{"key":"ref19","doi-asserted-by":"crossref","first-page":"97","DOI":"10.1109\/T-C.1970.222874","article-title":"generation of products and quotients using approximate binary logarithms for digital filtering applications","volume":"c 19","author":"hall","year":"1970","journal-title":"IEEE Transactions on Computers"},{"key":"ref28","first-page":"447","article-title":"Computer graphics using logarithmic number systems","volume":"74","author":"kurokawa","year":"1991","journal-title":"IEICE Trans"},{"key":"ref4","doi-asserted-by":"publisher","DOI":"10.1007\/s11265-005-4941-7"},{"key":"ref27","doi-asserted-by":"publisher","DOI":"10.1109\/ISCAS.2006.1693424"},{"key":"ref3","doi-asserted-by":"publisher","DOI":"10.1109\/TC.2004.53"},{"key":"ref6","doi-asserted-by":"publisher","DOI":"10.1109\/12.295858"},{"key":"ref29","first-page":"1479","article-title":"Fast method of geometrical picture transformation using logarithmic number systems and its application for computer graphics","volume":"1360","author":"kurokawa","year":"1990","journal-title":"Proc SPIE Vis Commun Image Process"},{"key":"ref5","doi-asserted-by":"publisher","DOI":"10.1109\/ARITH.1991.145565"},{"key":"ref8","doi-asserted-by":"publisher","DOI":"10.1049\/iet-cdt:20070080"},{"key":"ref7","doi-asserted-by":"publisher","DOI":"10.1109\/12.795125"},{"key":"ref2","doi-asserted-by":"publisher","DOI":"10.1109\/TEC.1962.5219391"},{"key":"ref9","doi-asserted-by":"publisher","DOI":"10.1109\/TVLSI.2008.2003481"},{"journal-title":"OpenGL Superbible","year":"2010","author":"wright","key":"ref1"},{"key":"ref20","doi-asserted-by":"publisher","DOI":"10.1109\/TEC.1961.5219227"},{"key":"ref22","doi-asserted-by":"publisher","DOI":"10.1109\/MM.1987.304914"},{"key":"ref21","doi-asserted-by":"crossref","first-page":"37","DOI":"10.1023\/A:1021189701352","article-title":"Error analysis of the Kmetz\/Maenner algorithm","volume":"33","author":"arnold","year":"2002","journal-title":"J VLSI Signal Process"},{"key":"ref24","doi-asserted-by":"publisher","DOI":"10.1109\/ISCAS.2004.1329298"},{"key":"ref23","doi-asserted-by":"publisher","DOI":"10.1109\/ICCIC.2012.6510248"},{"key":"ref26","doi-asserted-by":"publisher","DOI":"10.1109\/SOC.2003.1241461"},{"key":"ref25","doi-asserted-by":"publisher","DOI":"10.1109\/TC.2006.198"}],"container-title":["IEEE Transactions on Computers"],"original-title":[],"link":[{"URL":"http:\/\/xplorestaging.ieee.org\/ielx7\/12\/7430016\/7118135.pdf?arnumber=7118135","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2022,1,12]],"date-time":"2022-01-12T11:48:46Z","timestamp":1641988126000},"score":1,"resource":{"primary":{"URL":"http:\/\/ieeexplore.ieee.org\/document\/7118135\/"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2016,4,1]]},"references-count":33,"journal-issue":{"issue":"4"},"URL":"https:\/\/doi.org\/10.1109\/tc.2015.2441696","relation":{},"ISSN":["0018-9340"],"issn-type":[{"type":"print","value":"0018-9340"}],"subject":[],"published":{"date-parts":[[2016,4,1]]}}}