We further refine the bounds on the path length of binary trees of a given size by considering not only the size of a binary tree, but also its height and fringe thickness (the difference between the length of a shortest root-to-leaf path and the height). We characterize the maximum path length binary trees of a given height, size, and fringe thickness. Using this characterization, we give an a...

A method of camera focusing based on fringe pattern matching is presented. In the method, the variance of the mismatch function is used as a focus measure. The focus measure was examined in a fringe analysis system, and the results from the three well-known focus measures-gray-level variance, image gradient, and Laplacian-were also obtained in the experiment as a comparison. The experimental re...

This chapter reviews the first ten years of interactive electro-holographic displays from its first instance in 1990 through innovations in computational approaches and optical modulation schemes. The enormous bandwidths required to image three-dimensional (3-D) holographic images interactively are examined, along with descriptions of techniques used to overcome the limitations placed upon frin...

Study of the land-use/land cover (LULC) changes close to the boundary of the buildup area (urban fringe) provides deeper understanding of a land-use dynamics at different spatial and temporal scales. Few thoughts have given to the analysis of complicated spatial landscape at a fringe area. The aim of this paper is to resolve this bias by focusing on these interfaces. Results of this paper show ...

For many phase extraction algorithms, a priori knowledge of a fringe-pattern density distribution is beneficial for later processing. A fringe-density estimation method based on a continuous wavelet transform (CWT) is proposed. For a one-dimensional signal the instantaneous frequency detected at the CWT ridge is directly adopted as a measure of the local fringe density. For a two-dimensional si...

The Messenger 152 – June 2013 sky-emission fringes and cannot be used for correcting the fringe patterns. There­ fore, fringes are not removed by the standard data­processing techniques (bias subtraction, bad pixel masking, and flat-fielding). Fringe removal requires an extra step, where a description of the fringe pattern is scaled and subtracted from each image. This has traditionally been a ...

Fourier transform profilometry (FTP) is one of the frequently adopted three-dimensional (3D) shape measurement methods due to its ability to recover single-shot 3D shapes, yet it is challenging to retrieve the absolute phase map solely from one single grayscale fringe image. This paper presents a computational framework that overcomes this limitation of FTP with digital fringe projection (DFP)....

This paper describes a digital fringe signal processing method realized in the new Tsubokawa-type transportable absolute gravimeter at the National Astronomical Observatory, Mizusawa (NAOM), Japan. A data processing algorithm is based on the second-differences method that uses neither the nonlinear least-squares approximation nor the commonly adopted fringe counting. An estimated uncertainty sh...