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

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