However, even for the considered simple structure test image, there exist local degradations of visual quality as well.
While the depth and quality of the board is largely dependent on the creativity (unspecified nor assessed) in the selection of images, there exists little research regarding how the creativity of the mood boards may be evaluated.
We extend the existing invariants for graylevel images and show that in the case of color images there exist additional independent invariants, which can be constructed as joint invariants from cross-channel moments and/or from new non-trivial low-order moments.
For different images, there exist different contents and distribution, and the magnitude of the relative difference of dissimilarity corresponding to the step with increment sharply is different.
For example, in a real low illumination image, if there exists brighter lights such as lamp light or moon light (as shown in Fig. 5a), the atmospheric light will not be the brightest one.
In the field of image processing, there exist many studies on image restoration/enhancement such as image denoising[1 3], image deblurring[4, 5], and image inpainting[6].
The image shows that there exists an oxide layer with 2 nm in thickness on the NW.
(2) The many-to-one projection (a.k.a convergent transform), which consists in considering every m-tuple of pixels {x i }1≤i≤m of the binary image such that there exists a unique a 0 in the parameter space such that for all x i, ϕ(x i,a 0 =0 (e.g. m=2 for lines and m=3 for circles) and then increment only (Gamma _{I}^{phi }(mathbf {a_{0}})).
This loss is not contained in the mapping image μ, as there exists no edge e ′ on the path from e to the root such that (e ′, α (g )) is a loss for α.
Next, we show that X is statistically convergent to Y. Since X ( lmn ) → X Open image in new window, so for each 휖 > 0 Open image in new window, there exists l, m, n Open image in new window and N 0 ∈ N Open image in new window such that d ( X ijk ( lmn ), X ijk ) < 휖 3 for i, j, k ≥ N 0. Open image in new window (30).
