Frame wavelets with frame set support in the frequency domain

Connectivity in the set of Tight Frame Wavelets (TFW)

We introduce new ideas to treat the problem of connectivity of wavelets. We develop a method which produces intermediate paths of Tight Frame Wavelets (TFW). Using this method we prove that a large class of TFW-s, with only mild conditions on their spectrum, are arcwise connected.

Wavelets with Frame Multiresolution Analysis

A frame multiresolution (FMRA for short) orthogonal wavelet is a single-function orthogonal wavelet such that the associated scaling space V0 admits a normalized tight frame (under translations). In this paper, we prove that for any expansive matrix A with integer entries, there exist A-dilation FMRA orthogonal wavelets. FMRA orthogonal wavelets for some other expansive matrix with non integer ...

Minimally Supported Frequency Composite Dilation Parseval Frame Wavelets

Abstract. A composite dilation Parseval frame wavelet is a collection of functions generating a Parseval frame for L2(Rn) under the actions of translations from a full rank lattice and dilations by products of elements of groups A and B. A minimally supported frequency composite dilation Parseval frame wavelet has generating functions whose Fourier transforms are characteristic functions of set...

Tight frame wavelets and the dimension function

Support-free frame structures

Recently, different com plex lightweight structures are designed to save printing material, while satisfying specific demands on physical and geometrical properties. However, most structures need additional interior support structures to help print, which not only damage the physical properties of the objects but also consume additional material, time, and energy. To handle the above problem, a...