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Line 63: ===Disadvantage of M-D CWT=== Although the M-D CWT provides one with oriented wavelets, these orientations are only appropriate to represent the orientation along the {(m-1})<sup>th</sup> dimension of a signal with {{math\|m}} dimensions. When singularities in [[Manifolds\|manifold]]<ref>{{cite book\|last1=Boothby\|first1=W\|title=An Introduction to Differentiable Manifolds and Riemannian Geometry\|date=2003\|publisher=Academic\|___location=San Diego}}</ref> of lower dimensions are considered, such as a bee moving in a straight line in the 4-D space-time, oriented wavelets that are smooth in the direction of the manifold and change rapidly in the direction normal to it are needed. A new transform, Hypercomplex Wavelet transform was developed in order to address this issue. ==Hypercomplex Wavelet Transform==

Wavelet for multidimensional signals analysis: Difference between revisions