In this paper, we define the β-partial derivative as well β-directional of a multi-variable function based on β-difference operator, Dβ, which is defined by Dβf(t)=f(β(t))−f(t)/β(t)−t, where β strictly increasing continuous function. Some properties are proved. Furthermore, β-gradient vector and directional introduced. Finally, deduce Hahn-partial Hahn-directional derivatives associated with Ha...

Accurate response to external directional signals is essential for many physiological functions such as chemotaxis or axonal guidance. It relies on the detection and amplification of gradients of chemical cues, which, in eukaryotic cells, involves the asymmetric relocalization of signaling molecules. How molecular events coordinate to induce a polarity at the cell level remains however poorly u...

SIFT (Scale invariant feature transform) descriptor is one of the most effective local features that is used for scale, rotation and illumination invariant of automatic image registration. In this paper a fast bi-directional matching algorithm based on SIFT was proposed for improving match accuracy and reducing match time. Firstly the single-feature points and multi-feature points in two images...

Smokescreen jamming is one of the most common types interference in optical imaging. However, there are few tools available to assess effectiveness imaging presence smoke screen interference, and them qualitative nature. There an urgent need for targeted quantitative assessment methods. Therefore, a novel evaluation method (EEMSSJ) based on histogram oriented gradient local binary pattern featu...

Control of the cytoskeleton and mechanical contacts with the extracellular environment are essential component of motility in eukaryotic cells. In the absence of signals, cells continuously rebuild the cytoskeleton and periodically extend pseudopods or other protrusions at random membrane locations. Extracellular signals bias the direction of movement by biasing the extension of protrusions, bu...

Combination of two physical phenomena, capillary pressure gradient and wettability gradient, allows a simple two-step fabrication process that yields a reliable hydrophobic self-cleaning condenser surface. The surface is fabricated with specific microscopic topography and further treatment with a chemically inert low-surface-energy material. This process does not require growth of nanofeatures ...

Images taken on rainy days often lose a significant amount of detailed information owing to the coverage rain streaks, which interfere with recognition and detection intelligent vision systems. It is, therefore, extremely important recover clean rain-free images from images. In this paper, we propose removal method based directional gradient priors, aims retain structural original image greates...

In this paper, we present a new and effective image indexing technique that employs local uni-color and bi-color distributions and local directional distribution of intensity gradient. The image is divided into 4 by 4 non-overlapping blocks. Each block, based on its gradient magnitude, is classified as uniform or non-uniform. Using the average of each color component for the pixels of a uniform...