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- Didier Sornette, Anthony B. Davis, Kayo Ide, Kevin R. Vixie, Vladilen Pisarenko, James R. Kamm
- Proceedings of the National Academy of Sciencesâ€¦
- 2007

Validation is often defined as the process of determining the degree to which a model is an accurate representation of the real world from the perspective of its intended uses. Validation is crucialâ€¦ (More)

- J. Andrew Green, C. Alexander, +35 authors Brendt Wohlberg
- 2006 IEEE Nuclear Science Symposium Conferenceâ€¦
- 2006

We have built a detector capable of locating high Z objects in the sampling (middle) region of the detector. As atomic number increases, radiation length rapidly decreases, yielding larger varianceâ€¦ (More)

We present techniques for constructing classifiers that combine statistical information from training data with tangent approximations to known transformations, and we demonstrate the techniques byâ€¦ (More)

We present a new, simple, and elegant algorithm for computing the optimal mapping for the Monge-Kantorovich problem with quadratic cost. The method arises from a reformulation of the dual problemâ€¦ (More)

Graduated adaptive image denoising: local compromise between total variation and isotropic diffusion

- Erik M. Bollt, Rick Chartrand, Selim Esedoglu, Pete Schultz, Kevin R. Vixie
- Adv. Comput. Math.
- 2009

We introduce variants of the variational image denoising method proposed by Blomgren, Mulet, Chan, and Wong [2], which interpolates between total-variation denoising and isotropic diffusionâ€¦ (More)

We apply total-variation (TV) regularization methods to Abel inversion tomography. Inversions are performed using the fixed-point iteration method and the regularization parameter is chosen such thatâ€¦ (More)

We present a technique for combining prior knowledge about transformations that should be ignored with a covariance matrix estimated from training data to make an improved Mahalanobis distanceâ€¦ (More)

We show that the recently introduced L1TV functional can be used to explicitly compute the flat norm for co-dimension one boundaries. Furthermore, using L1TV, we also obtain the flat normâ€¦ (More)

Abstract In the case of radiography of a cylindrically symmetric object, the Abel transform is useful for describing the tomographic measurement operator. The inverse of this operator is unbounded,â€¦ (More)

- Kevin R. Vixie, Keith Clawson, Thomas J. Asaki, Gary Sandine, Simon P. Morgan, Brandon A. Price
- 2009

In this paper we begin to explore the application of the multiscale flat norm introduced in Morgan and Vixie [13] to shape and image analysis. In particular, we look at the use of the multiscale flatâ€¦ (More)