Huffman, Park and Skoug introduced a generalized Fourier-Feynman transform (GFFT) and a generalized convolution product (GCP) and they obtained the relationships between the GFFT and GCP for functionals in the Banach algebra S introduced by Cameron and Storvick. In this paper, we investigate various relationships among the GFFT, GCP and generalized first variation for functionals in S.
Unveiling the dense correspondence under the haze layer remains a challenging task, since the scattering effects result in less distinctive image features. Contrarily, dehazing is often confused by the airlightalbedo ambiguity which cannot be resolved independently at each pixel. In this paper, we introduce a deep convolutional neural network (CNN) that simultaneously estimates a disparity and clear image from a hazy stereo image pair. Both tasks are synergistically formulated by fusing depth information from the matching cost and haze transmission. To learn the optimal fusion of depth-related features, we present a novel encoderdecoder architecture that extends the core idea of attention mechanism to the simultaneous stereo matching and dehazing. As a result, our method estimates high-quality disparity for the stereo images in scattering media, and produces appearance images with enhanced visibility. Finally, we further propose an effec
Abstract. Cameron and Storvick introduced the concept of a sequential Fourier-Feynman transform and established the existence of this transform for functionals in a Banach algebraŜ of bounded functionals on classical Wiener space. In this paper we investigate various relationships between the sequential Fourier-Feynman transform and the convolution product for functionals which need not be bounded or continuous. Also we study the relationships involving this transform and the first variation.
In this paper, we define the conditional Fourier-Feynman transform and the conditional convolution product over Wiener paths in abstract Wiener space. Using a simple formula, we obtain conditional Feynman integrals of Fourier-Feynman transform and convolution product of cylinder type functions. For these functions, we evaluate the conditional Fourier-Feynman transforms and the conditional convolution products, and show that the conditional Fourier-Feynman transform of the conditional convolution product is a product of the conditional Fourier-Feynman transforms.
The effect of pressure up to 5.6 CPa on the magnetic behaviour of y'-FqN has been investigated using the 57Fe high-pressure Miissbauer effect technique at 300 K. We show that the decrease of the average magnetic hyperfine held at 300 K in this pressure range results from the decreases of the Fe local magnetic moment and Curie temperature with pressure. The decreases of the average isomer shift and the isomer shin for each Fe site with increasing pressure indicates a corresponding increase of s electron density at the "Fe nucleus, which is mainly caused by the volume compression of the 4s conduction electrons and changes of charge innsfer behveen atoms.
This paper presents a new method for electrically isolating released high aspect ratio single crystal silicon (SCS) MEMS structures. In this method, horizontal dielectric layers are implanted at arbitrary depths in any desired region of a wafer using the sacrificial bulk micromachining (SBM) process. A z-axis microgyroscope is fabricated by the proposed method. The measured noise-equivalent angular rate resolution is 0.0074° s−1, the input range is larger than ±50° s−1, and the measured bandwidth is 7.3 Hz. The proposed method achieves electrical isolation with excellent mechanical stability, and is free from the footing phenomenon and residual stress.
scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.