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- Karthik S. Gurumoorthy, Anand Rangarajan
- SIAM J. Math. Analysis
- 2011

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 the wave function… (More)

- Karthik S. Gurumoorthy, Ajit Rajwade, Arunava Banerjee, Anand Rangarajan
- IEEE Transactions on Image Processing
- 2010

We present a new method for compact representation of large image datasets. Our method is based on treating small patches from a 2-D image as matrices as opposed to the conventional vectorial… (More)

- Manu Sethi, Anand Rangarajan, Karthik S. Gurumoorthy
- IEEE Conference on Computer Vision and Pattern…
- 2012

Despite the ubiquitous use of distance transforms in the shape analysis literature and the popularity of fast marching and fast sweeping methods - essentially Hamilton-Jacobi solvers, there is very… (More)

In this paper we propose an efficient algorithm ProtoDash for selecting prototypical examples from complex datasets. Our work builds on top of the learn to criticize (L2C) work by Kim et al. (2016)… (More)

The characteristics of the model dynamics are critical in the performance of (ensemble) Kalman filters. In particular, as emphasized in the seminal work of Anna Trevisan and coauthors, the error… (More)

- Karthik S. Gurumoorthy, Colin Grudzien, Amit Apte, Alberto Carrassi, Christopher K. R. T. Jones
- SIAM J. Control and Optimization
- 2015

We prove that for linear, discrete, time-varying, deterministic system (perfect model) with noisy outputs, the Riccati transformation in the Kalman filter asymptotically bounds the rank of the… (More)

- Karthik S. Gurumoorthy, Anand Rangarajan
- SSVM
- 2009

A quick release assembly for electric troller motors of the type having a motor-propeller assembly supported at the lower end of a vertical motor tube and control and starting functions supported on… (More)

- Karthik S. Gurumoorthy, Anand Rangarajan
- ArXiv
- 2014

We use a Schr\"odinger wave equation formalism to solve the eikonal equation. In our framework, a solution to the eikonal equation is obtained in the limit as Planck's constant $\hbar$ (treated as a… (More)

- Karthik S. Gurumoorthy, Anand Rangarajan, Arunava Banerjee
- EMMCVPR
- 2011

The complex wave representation (CWR) converts unsigned 2D distance transforms into their corresponding wave functions. The underlying motivation for performing this maneuver is as follows: the… (More)

We prove that the density function of the gradient of a sufficiently smooth function $S : \Omega \subset \mathbb{R}^d \rightarrow \mathbb{R}$, obtained via a random variable transformation of a… (More)