[{"extern":"1","doi":"10.1007/3-540-36477-3_7","day":"17","quality_controlled":"1","date_created":"2018-12-11T12:06:18Z","author":[{"full_name":"Cheng, Ho","last_name":"Cheng","first_name":"Ho"},{"orcid":"0000-0002-9823-6833","id":"3FB178DA-F248-11E8-B48F-1D18A9856A87","first_name":"Herbert","full_name":"Edelsbrunner, Herbert","last_name":"Edelsbrunner"}],"date_updated":"2024-02-27T12:15:02Z","month":"02","date_published":"2003-02-17T00:00:00Z","article_processing_charge":"No","type":"book_chapter","alternative_title":["LNCS"],"publisher":"Springer","_id":"3991","oa_version":"None","intvolume":"      2598","title":"Area and perimeter derivatives of a union of disks","publist_id":"2132","scopus_import":"1","abstract":[{"text":"We give analytic inclusion-exclusion formulas for the area and perimeter derivatives of a union of finitely many disks in the plane.","lang":"eng"}],"publication_identifier":{"isbn":["9783540005797"]},"year":"2003","status":"public","volume":2598,"user_id":"ea97e931-d5af-11eb-85d4-e6957dddbf17","publication":"Computer Science in Perspective: Essays Dedicated to Thomas Ottmann","publication_status":"published","citation":{"mla":"Cheng, Ho, and Herbert Edelsbrunner. “Area and Perimeter Derivatives of a Union of Disks.” <i>Computer Science in Perspective: Essays Dedicated to Thomas Ottmann</i>, vol. 2598, Springer, 2003, pp. 88–97, doi:<a href=\"https://doi.org/10.1007/3-540-36477-3_7\">10.1007/3-540-36477-3_7</a>.","ista":"Cheng H, Edelsbrunner H. 2003.Area and perimeter derivatives of a union of disks. In: Computer Science in Perspective: Essays Dedicated to Thomas Ottmann. LNCS, vol. 2598, 88–97.","ieee":"H. Cheng and H. Edelsbrunner, “Area and perimeter derivatives of a union of disks,” in <i>Computer Science in Perspective: Essays Dedicated to Thomas Ottmann</i>, vol. 2598, Springer, 2003, pp. 88–97.","short":"H. Cheng, H. Edelsbrunner, in:, Computer Science in Perspective: Essays Dedicated to Thomas Ottmann, Springer, 2003, pp. 88–97.","apa":"Cheng, H., &#38; Edelsbrunner, H. (2003). Area and perimeter derivatives of a union of disks. In <i>Computer Science in Perspective: Essays Dedicated to Thomas Ottmann</i> (Vol. 2598, pp. 88–97). Springer. <a href=\"https://doi.org/10.1007/3-540-36477-3_7\">https://doi.org/10.1007/3-540-36477-3_7</a>","chicago":"Cheng, Ho, and Herbert Edelsbrunner. “Area and Perimeter Derivatives of a Union of Disks.” In <i>Computer Science in Perspective: Essays Dedicated to Thomas Ottmann</i>, 2598:88–97. Springer, 2003. <a href=\"https://doi.org/10.1007/3-540-36477-3_7\">https://doi.org/10.1007/3-540-36477-3_7</a>.","ama":"Cheng H, Edelsbrunner H. Area and perimeter derivatives of a union of disks. In: <i>Computer Science in Perspective: Essays Dedicated to Thomas Ottmann</i>. Vol 2598. Springer; 2003:88-97. doi:<a href=\"https://doi.org/10.1007/3-540-36477-3_7\">10.1007/3-540-36477-3_7</a>"},"language":[{"iso":"eng"}],"acknowledgement":"Partially supported by NSF under grant DMS-98-73945 and CCR-00-86013.","page":"88 - 97"}]