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# Slides18 - Simple Linear Interpolation Limit Curve k0 0 m10...

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Simple Linear Interpolation m 0 m 1 k 0 k 1 k 2 Limit Curve k 0 k 1 k 2 k 3 k 4 Element Element Unchanged

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l k 0 k 1 k 2 m 0 k -1 k 0 k 1 m 0 Interpolating Subdivision Schemes •G i v e n a s e t o f d a t
Limit curve is an interpolating function Interpolating Subdivision Schemes

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k 0 k 1 k 2 k 3 k 4 k 0 m 0 k 1 m 1 k 2 k 0 k 1 k 2 Wavelets From Subdivision Limit curves can be used to interpolate data. On coarse grid On fine grid Suppose that is coarsened by subsampling and remaining data is predicted using subdivision
details Wavelets From Subdivision Does this fit the wavelet framework? fine approximation coarse approximation If we set , our coarsening/prediction strategy gives So the “wavelets” are

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Wavelets From Subdivision Similarly, setting produces the refinement equation:
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## This note was uploaded on 12/04/2011 for the course ESD 18.327 taught by Professor Gilbertstrang during the Spring '03 term at MIT.

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Slides18 - Simple Linear Interpolation Limit Curve k0 0 m10...

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