It is often necessary to evaluate measured features of an image with respect to estimated properties of noise incorporated with the image values. In some cases, differential geometric methods lead to erroneous decisions arising from the assumption of linearity of the noisy feature space. This paper introduces new work in multiscale image statistics, a local framework that supports adaptive meas...

We present variance reduction methods for Monte Carlo simulations to evaluate European and Asian options in the context of multiscale stochastic volatility models. European option price approximations, obtained from singular and regular perturbation analysis [J.P. Fouque, G. Papanicolaou, R. Sircar and K. Solna: Multiscale Stochastic Volatility Asymptotics, SIAM Journal on Multiscale Modeling a...

This paper describes a new transform to extract image regions at all geometric and photometric scales. It is argued that linear approaches such as convolution and matching have the fundamental shortcoming that they require a priori models of region shape. The proposed transform avoids this limitation by letting the structure emerge, bottom-up, from interactions among pixels, in analogy with sta...

This paper investigates structural properties of diiusive scale-spaces and develops a Riemannian description based on electromagnetic (EM) eld theory. The generalized diiusion equation deening photometric transitions is interpreted as a Lorentz gauge condition expressing the trace Lorentz-invariance of an EM quadripotential with covariant scalar and contravariant vector components, respectively...

This paper introduces a new class of bases, called bandelet bases, which decompose the image along multiscale vectors that are elongated in the direction of a geometric flow. This geometric flow indicates the direction in which the image grey levels have regular variations. The image decomposition in a bandelet basis is implemented with a fast subband filtering algorithm. Bandelet bases lead to...

nonlinear functional analysis and its applications iii variational methods and optimization PDF remote sensing second edition models and methods for image processing PDF remote sensing third edition models and methods for image processing PDF guide to signals and patterns in image processing foundations methods and applications PDF introduction to image processing and analysis PDF principles of...

This paper presents a new multi-scale geometric detail enhancement approach for time-varying surfaces. We first develop an adaptive spatio-temporal bilateral filter, which produces temporally-coherent and feature-preserving multiscale representation for the time-varying surfaces. We then extract the geometric details from the time-varying surfaces, and enhance geometric details by exaggerating ...