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You might want to consider the vector field $ \vec{F}(x,y) = (f(x,y), g(x,y)) $ and look for sources and sinks of $\vec{F}$. I think this could be done by recursively dividing up the plane into squa …

How much have you looked into the theory of optimal transport? It's very popular for image warping/registration. There's codes available to compute the $l1$-optimal transport distance (also referred …

Interesting question. Nuclear norm minimization is getting much attention right now as it relates directly to compressed sensing. Some software for minimization with this constraint that I've used: h …

Well, if your microprocessors can handle fixed point arithmetic then here is a matlab commercial that should do it: http://www.mathworks.com/products/fixed/demos.html?file=/products/demos/shipping/fix …

I am interested in solutions to $$ \frac{d}{dt} \Psi = -iH \Psi $$ for $H$ hermitian and time independent. This boils down to evaluating $$ \Psi(t) = e^{-iHt}\Psi_0 $$ at points of interest $t_n$. I w …

Consider this differential operator $$ \mathcal{H}(\phi(\mathbf{x})) = -\triangle + V(\mathbf{x})H_\epsilon (\phi(\mathbf{x})) $$ where $\mathbf{x} \in \mathbb{R}^2$, $\phi : \mathbb{R}^2 \rightarrow …

I have the time domain signal $$ u_o(t) = u(t)e^{-t/\tau}\eta(t) + \sigma(t) $$ where $\tau$ is known, $\eta$ is non-Gaussian noise, and $\sigma$ is Gaussian noise. The distribution of $\eta(t)$ is kn …

Let $H = \triangle + V(x) : \mathbb{R}^2 \rightarrow \mathbb{R}^2$. I am interested in domain decomposition for an eigenproblem involving $H$. The lowest 1000 eigenfunctions of $H$, $ \psi_i $, can …