Stereographic Frames of Wavelets on the Sphere
نویسندگان
چکیده
In this technical report we build Discrete Wavelet Frames on the sphere S, discretizing the existing Spherical Continuous Wavelet Transform (CWT). We first explore the spherical half-continuous frames, i.e. where the position remains a continuous variable; and then we proceed to the fully discrete frames. We introduce the notion of controlled frames, which reflects the particular nature of the underlying theory, namely, the apparent conflict between dilation and the compacity of the spherical manifold. We conclude with our perspectives for future work.
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