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Goal 1: cartoon u.
Our cartoon u contains smooth surfaces with sharp edges and no texture; see Fig. 8 e.
It shows that under "heavy" noise, our DG3PD model still meets the criteria for cartoon u and texture v, i.e., Our cartoon u contains smooth surfaces with sharp edges and no texture; see Fig. 8 e.
See Fig. 11 for the effects of different compression rates on the decompressed cartoon u d and the decompressed texture v d.
For the SED, the cartoon u is blurred and there are some small-scale objects under the table (see Fig. 5 c).
Regarding the cartoon u, we observe that the VO and SED models still contain texture on the scarf (see Fig. 4 b, c, respectively).
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Second, a tailor-made, lossy, high compression of the cartoon component u and the texture component v. Third, decompressing u and v in order to compute the compression residual image s=f−u d −v d, where u d is the cartoon image and v d the texture image after decompression.
Extremely efficient representations of the cartoon image u and texture image v exist.
Fig. 11 The cartoon component u (a) and texture component v (e) of the Barbara image obtained by DG3PD.
DG3PD decomposition of a obtains a smooth cartoon image u (d) and a smooth and sparse texture image v (e).
7 and 8 can be substituted into Eq. 6. Recall that the function K represents the curvature of the cartoon component u.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com