Journal of applied mathematics & informatics

한국전산응용수학회 (The Korean Society for Computational and Applied Mathematics)
권호 표지

A NEW PROOF OF THE SMOOTHNESS OF 4-POINT DESLAURIERS-DUBUC SCHEME

  • TANG YOUCHUN (Department of Information Management, Shanghai Engineering & Technology University) ;
  • KO KWAN PYO (Division of Internet Engineering, Dongseo University) ;
  • LEE BYUNG-GOOK (Division of Internet Engineering, Dongseo University)
  • 발행 : 2005.03.01

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초록

It is well-known that the smoothness of 4-point interpolatory Deslauriers-Dubuc(DD) subdivision scheme is $C^{1}$. N. Dyn[3] proved that 4-point interpolatory subdivision scheme is $C^{1}$ by means of eigenanalysis. In this paper we take advantage of Laurent polynomial method to get the same result, and give new way of strict proof on Laurent polynomial method.

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