{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,6,19]],"date-time":"2025-06-19T04:42:32Z","timestamp":1750308152614,"version":"3.41.0"},"reference-count":9,"publisher":"Association for Computing Machinery (ACM)","issue":"3","license":[{"start":{"date-parts":[[2005,9,1]],"date-time":"2005-09-01T00:00:00Z","timestamp":1125532800000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.acm.org\/publications\/policies\/copyright_policy#Background"}],"content-domain":{"domain":["dl.acm.org"],"crossmark-restriction":true},"short-container-title":["SIGSAM Bull."],"published-print":{"date-parts":[[2005,9]]},"abstract":"<jats:p>\n            The offset hypersurface\n            <jats:italic>O<\/jats:italic>\n            <jats:sub>\n              <jats:italic>d<\/jats:italic>\n            <\/jats:sub>\n            (\n            <jats:italic>V<\/jats:italic>\n            ), at distance\n            <jats:italic>d<\/jats:italic>\n            , to an irreducible hypersurface\n            <jats:italic>V<\/jats:italic>\n            is essentially the envelope of the system of spheres centered at the points of\n            <jats:italic>V<\/jats:italic>\n            with fixed radius\n            <jats:italic>d<\/jats:italic>\n            (for a formal definition, and for basic properties of offsets, see [2] and [9]). This type of geometric objects have been studied extensively by many authors in the frame of CAGD applications (see [4]). As a consequence of this research, many interesting theoretical and algorithmic questions related to algebraic and differential geometric properties of offsets have been addressed. In this context, one usually analyzes whether a certain property of the original variety\n            <jats:italic>V<\/jats:italic>\n            is translated to\n            <jats:italic>\n              O\n              <jats:sub>d<\/jats:sub>\n            <\/jats:italic>\n            (\n            <jats:italic>V<\/jats:italic>\n            ) when offsetting.In this poster we present several efficient algorithms (and examples thereof) developed in our research group for the computation of algebraic and geometric properties of offset hypersurfaces.\n          <\/jats:p>","DOI":"10.1145\/1113439.1113449","type":"journal-article","created":{"date-parts":[[2007,1,17]],"date-time":"2007-01-17T18:32:02Z","timestamp":1169058722000},"page":"87-90","update-policy":"https:\/\/doi.org\/10.1145\/crossmark-policy","source":"Crossref","is-referenced-by-count":0,"title":["Offsets from the perspective of computational algebraic geometry"],"prefix":"10.1145","volume":"39","author":[{"given":"F. San","family":"Segundo","sequence":"first","affiliation":[{"name":"Universidad de Alcal\u00e1, Spain"}]},{"given":"J. R.","family":"Sendra","sequence":"additional","affiliation":[{"name":"Universidad de Alcal\u00e1, Spain"}]},{"given":"Juana","family":"Sendra","sequence":"additional","affiliation":[{"name":"Universidad Carlos, Spain"}]}],"member":"320","published-online":{"date-parts":[[2005,9]]},"reference":[{"key":"e_1_2_1_1_1","doi-asserted-by":"publisher","DOI":"10.1007\/11424758_71"},{"key":"e_1_2_1_2_1","doi-asserted-by":"publisher","DOI":"10.1006\/jsco.1996.0088"},{"key":"e_1_2_1_3_1","doi-asserted-by":"publisher","DOI":"10.1016\/S0022-4049(98)00028-0"},{"key":"e_1_2_1_4_1","volume-title":"Handbook of Computer Aided Geometric Design. North-Holland","author":"Farin G.","year":"2002","unstructured":"Farin G. , Hoschek J. , Kim M.-S. ( 2002 ). Handbook of Computer Aided Geometric Design. North-Holland . Farin G., Hoschek J., Kim M.-S. (2002). Handbook of Computer Aided Geometric Design. North-Holland."},{"key":"e_1_2_1_5_1","doi-asserted-by":"publisher","DOI":"10.1016\/0167-8396(90)90024-L"},{"key":"e_1_2_1_6_1","doi-asserted-by":"publisher","DOI":"10.1016\/0167-8396(94)00008-G"},{"key":"e_1_2_1_7_1","doi-asserted-by":"publisher","DOI":"10.1016\/j.jpaa.2004.08.026"},{"key":"e_1_2_1_8_1","doi-asserted-by":"publisher","DOI":"10.1007\/s002000000039"},{"key":"e_1_2_1_9_1","doi-asserted-by":"publisher","DOI":"10.1007\/s002090050004"}],"container-title":["ACM SIGSAM Bulletin"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/dl.acm.org\/doi\/10.1145\/1113439.1113449","content-type":"unspecified","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/dl.acm.org\/doi\/pdf\/10.1145\/1113439.1113449","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,6,18]],"date-time":"2025-06-18T16:18:47Z","timestamp":1750263527000},"score":1,"resource":{"primary":{"URL":"https:\/\/dl.acm.org\/doi\/10.1145\/1113439.1113449"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2005,9]]},"references-count":9,"journal-issue":{"issue":"3","published-print":{"date-parts":[[2005,9]]}},"alternative-id":["10.1145\/1113439.1113449"],"URL":"https:\/\/doi.org\/10.1145\/1113439.1113449","relation":{},"ISSN":["0163-5824"],"issn-type":[{"type":"print","value":"0163-5824"}],"subject":[],"published":{"date-parts":[[2005,9]]},"assertion":[{"value":"2005-09-01","order":2,"name":"published","label":"Published","group":{"name":"publication_history","label":"Publication History"}}]}}