A Construction of Biorthogonal Wavelets With a Compact Operator

Mehmet Ersoy (1)

1 LAMA - Laboratoire de Mathématiques

We present a construction of biorthogonal wavelets using a compact operator which allows to preserve or increase some properties: regularity/vanishing moments, parity, compact supported. We build then a simple algorithm which computes new filters.

Mots clés: Compact operator; Biorthogonal multi-resolution; Orthonormal multi-resolution; Wavelets' regularity; Wavelets' vanishing moments; fast algorithm

Domaines: Equations aux dérivées partielles [math.AP]

Mehmet Ersoy. A Construction of Biorthogonal Wavelets With a Compact Operator. [Research Report] Université de Savoie. 2009. ⟨hal-00342457v2⟩