In this paper, we give a precise and workable definition of a quantum knot system, the states of which are called quantum knots. This definition can be viewed as a blueprint for the construction of an actual physical quantum system. Moreover, this definition of a quantum knot system is intended to represent the “quantum embodiment” of a closed knotted physical piece of rope. A quantum knot, as ...

We propose an image mosaic method based on tile template. Compared with a conventional mosaic which is comprised of the circle or the square tiles, our approach uses the arbitrary shaped tiles. But an arbitrary shaped tile leaves the excessive gap between tiles in the mosaic construction. Then the gap makes it difficult to preserve the fine detail of an original image. Our approach controls ove...

Slicing a Voronoi tessellation in R with a k-plane gives a k-dimensional weighted Voronoi tessellation, also known as power diagram or Laguerre tessellation. Mapping every simplex of the dual weighted Delaunay mosaic to the radius of the smallest empty circumscribed sphere whose center lies in the k-plane gives a generalized discrete Morse function. Assuming the Voronoi tessellation is generate...

Agricultural environments are critical to the conservation of biota throughout the world. Efforts to identify key influences on the conservation status of fauna in such environments have taken complementary approaches. Many studies have focused on the role of remnant or seminatural vegetation and emphasized the influence on biota of spatial patterns in the landscape. Others have recognized that...

Large retinal ganglion cells of the marine neoteleost Bathymaster derjugini were labeled with horseradish peroxidase and studied in flatmounts. Four types formed regular, independent mosaics, of which three (biplexiform, alpha-a, alpha-c) resembled those in several other teleosts. The fourth (alpha-ab) appeared novel in one significant respect. Whereas we originally described similar cells in a...

Mobile robot localization from large-scale appearance mosaics has been showing increasing promise as a low-cost, high-performance and infrastructure free solution to vehicle-guidance in man-made environments. The generation of the globally consistent high-resolution mosaics crucial to this procedure suffers from the same problem of loop-closure in cyclic environments that is commonly encountere...

Manifold mosaicing is a fast and robust way to summarize video sequences captured by a translating camera. It is also useful for rendering compelling 3D visualizations from a video without estimating the 3D structure of the scene. However, since the result mosaics are not perspective images, their geometry is inherently distorted. These mosaics are commonly referred to as multi-perspective imag...

Most types of retinal neurons are spatially positioned in non-random patterns, termed retinal mosaics. Several developmental mechanisms are thought to be important in the formation of these mosaics. Most evidence to date suggests that homotypic constraints within a type of neuron are dominant, and that heterotypic interactions between different types of neuron are rare. In an analysis of macaqu...

Abstract This statement presents a novel expressive medium that the authors call Ambiguus tiles, which construct dual-view tile mosaics. While similar to wall and surface mosaics made with conventional tiles can be assembled rearranged create in any size form. Fact vs. Fiction, letter sculpture composed of 115 is presented here as an example creative possibilities for using ready-to-use design ...