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. Author manuscript; available in PMC: 2009 Dec 30.
Published in final edited form as: IEEE Trans Image Process. 2008 Mar;17(3):283–300. doi: 10.1109/TIP.2007.915550

Fig. 10.

Fig. 10

(a)–(d) Nine-scale steerable pyramid (a = {2−n/2}, n = −4; …, 4) obtained by imposing invertibility from degree 20 to 170. Note that the frequency response is equal to 0.5 in the invertibility range because we only plot the frequency response contributed by the order +1 harmonics. (e)–(h) Five-scale steerable pyramid (a = {4, 2, 1, 0.5, 0.25}) obtained by imposing invertibility from degree 10 to 180. Note that the frequency response is equal to 0.5 in the invertibility range because we only plot the frequency response contributed by the order +1 harmonics. (a) Individual frequency response. (b) Combined frequency response. (c) ha = 4 (θ; ϕ). (d) Plot of ha = 4 (θ; ϕ) (−1:5 ≤ θ ≤ 1.5 radian). (e) Individual frequency response. (f) Combined frequency response. (g) ha = 4 (θ ϕ). (h) Plot of ha = 4 (θ ϕ) (−1:5 ≤ θ ≤ 1.5 radian).