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IEEECGIV
2009
IEEE
16 years 28 days ago
Monomial Forms for Curves in CAGD with their Applications
—There are several methods used for plotting curves in CAGD, e.g., by directly computing their basis functions (polynomials) or using their recursive algorithms. For the former m...
Chanon Aphirukmatakun, Natasha Dejdumrong
ASIACRYPT
2000
Springer
15 years 10 months ago
Construction of Hyperelliptic Curves with CM and Its Application to Cryptosystems
Abstract. Construction of secure hyperelliptic curves is of most important yet most difficult problem in design of cryptosystems based on the discrete logarithm problems on hyperel...
Jinhui Chao, Kazuto Matsuo, Hiroto Kawashiro, Shig...
RANDOM
1997
Springer
15 years 10 months ago
A Combinatorial Consistency Lemma with Application to Proving the PCP Theorem
The current proof of the PCP Theorem (i.e., NP = PCP(log, O(1))) is very complicated. One source of difficulty is the technically involved analysis of low-degree tests. Here, we r...
Oded Goldreich, Shmuel Safra
COMPGEOM
2008
ACM
15 years 8 months ago
Circular partitions with applications to visualization and embeddings
We introduce a hierarchical partitioning scheme of the Euclidean plane, called circular partitions. Such a partition consists of a hierarchy of convex polygons, each having small ...
Krzysztof Onak, Anastasios Sidiropoulos
JUCS
2006
112views more  JUCS 2006»
15 years 6 months ago
Construction of Wavelets and Applications
: A sequence of increasing translation invariant subspaces can be defined by the Haar-system (or generally by wavelets). The orthogonal projection to the subspaces generates a deco...
Ildikó László, Ferenc Schipp,...