Reverse differentiation and the inverse diffusion problem

Image Dehazing with Dark Channel Prior and Novel Estimation Model

“…Future work will try to figure out a better way to estimate atmospheric light to solve the problem that the color of the image is changed to some extent (e.g., Figure 4 (e)). In addition, some reverse problem based mathematical tools are still needed such as the literatures of [13][14][15][16][17][18][19][20]. Image dehazing issue in urgently needed to be dealt with and find out for a more robust and effective solution.…”

Fast iterative image reconstruction methods for fully 3D multispectral bioluminescence tomography

“…Computing ∇L(θ) by (A.4) requires only two forward solutions, one for computing ϕ and the other for computing the vector F −1 D′ (y -Dϕ) by solving F u = D′ (y -D ϕ) for u, hence a computational saving by a factor of (S + 1)/2 is achieved if the cost for forward solutions is dominant in the gradient computation. Using (A.4) for computing the gradient is often referred to as adjoint or reverse differentiation in diffuse optical tomography (Davies et al 1997, Hielscher et al 1999. A similar idea is also used in Arridge andSchweiger (1995, 1998).…”

Scattered Neutron Tomography Based on A Neutron Transport Inverse Problem

“…A variety of optical methods based on MOBIIR schemes have been studied in the past [12][13][14][15][16][17][18][19] . While these studies have principally been in the area of low-energy x-ray medical imaging, they have led to a variety of creative methods and their general application can be extended to neutron imaging.…”