We describe the asymptotic behavior of minimal area submanifolds in product spacetimes of an asymptotically hyperbolic space times a compact internal manifold. In particular, we find that unlike the case of a minimal area submanifold just in an asymptotically hyperbolic space, the internal part of the boundary submanifold is constrained to be itself a minimal area submanifold. For applications ...

In her seminal article in Psychological Review, A. S. Gilinsky (1951) successfully described the relationship between physical distance (D) and perceived distance (d) with the equation d = DA/(A + D), where A = constant. To understand its theoretical underpinning, the authors of the current article capitalized on space perception mechanisms based on the ground surface to derive the distance equ...

Our two eyes receive different views of a visual scene, and the resulting binocular disparities enable us to reconstruct its three-dimensional layout. However, the visual environment is also rich in monocular depth cues. We examined the resulting percept when observers view a scene in which there are large conflicts between the surface slant signaled by binocular disparities and the slant signa...

In this paper, we propose a digital watermarking algorithm based on the Slant transform for the copyright protection of satellite images. Designed to match basis vectors to areas of constant luminance slope, the Slant transform is good for compact energy in “smooth” images. However, our earlier research work suggests that in terms of watermarking, it works better for textured images, for the en...

Four experiments related human perception of depth-order relations in structure-from-motion displays to current Euclidean and affine theories of depth recovery from motion. Discrimination between parallel and nonparallel lines and relative-depth judgments was observed for orthographic projections of rigidly oscillating random-dot surfaces. We found that (1) depth-order relations were perceived ...

This paper presents a method for imaging from the slant plane data collected by a synthetic aperture radar (SAR) over the full rotation or a partial segment of a circular flight path. A Fourier analysis for the Green's function of the imaging system is provided. This analysis is the basis of an inversion for slant plane circular SAR data. The reconstruction algorithm and resolution for this SAR...

In vision science the currently most popular models for depth perception are weak fusion models in which the final depth estimate results from a weighted average of the independent depth estimates obtained from each cue [2]. In these models a more reliable cue has a larger weight in the combined estimate. Furthermore, recent studies report that human observes combine depth cues as to obtain the...

Slant Correction is an important component of an Optical Character Recognition (OCR) system. The stronger the slant correction algorithm, the better the OCR system’s performance. In this work, a non-uniform slant estimation algorithm is presented. The algorithm uses the generalized projections of the word image. The algorithm is simple and robust. To evaluate the efficacy of the algorithm, imag...

We give a construction to obtain canonically an “isotropic average” of given C-close isotropic submanifolds of a symplectic manifold. To do so we use an improvement of Weinstein’s submanifold averaging theorem (obtained in collaboration with H. Karcher) and apply “Moser’s trick”. We also present an application to Hamiltonian group actions.