43 citations · 78 across the 20 of their papers we have counts for
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A new variational principle for the Euclidean distance function: Linear approach to the non-linear eikonal problem
Karthik S. Gurumoorthy, Anand Rangarajan
We present a fast convolution-based technique for computing an approximate, signed Euclidean distance function on a set of 2D and 3D grid locations. Instead of solving the non-…
An application of the stationary phase method for estimating probability densities of function derivatives
Karthik S. Gurumoorthy, Anand Rangarajan, Arunava Banerjee
We prove a novel result wherein the density function of the gradients---corresponding to density function of the derivatives in one dimension---of a thrice differentiable function…
Distance Transform Gradient Density Estimation using the Stationary Phase Approximation
Karthik S. Gurumoorthy, Anand Rangarajan
The complex wave representation (CWR) converts unsigned 2D distance transforms into their corresponding wave functions. Here, the distance transform S(X) appears as the phase of th…