Symmetry Feature and Construction for the 3-Band Tight Framelets with Prescribed Properties

Figure 1

(a) Refinable function 𝜙∈𝑊^0.8155(𝑅) with symmetry, (b) framelets 𝜓¹ with antisymmetry, and (c) and (d) 𝜓² symmetry and 𝜓³ with antisymmetry, respectively.

(a)

(b)

(c)

(d)