space-filling curves are still referred to as Peano curves. A space-filling curve can be thought of as a map from one-dimensional space onto a higher-dimensional space. When working in Euclidean space, it is often thought of as a
In this chapter,we present the use of space-,lling curves as tool paths.Given a set of CC data distributed on the surface, a space-,lling curve tool path can be thought of as a curve that visits each CC point on the surface once and only once.We also consider the use of non-rec...
(pixels) of each dimension consists ofND− 1 segments where each segment connects two consecutiveD-dimensional points. There are numerous kinds of space-filling curves (e.g., Hilbert, Peano, and Gray). The difference between such curves is in their way of mapping to the one-dimensional ...
The implicitly exhaustive feature is made possible by adapting “space filling curves≓ to discrete spaces of general dimensionality. Several space filling curves are surveyed, and Peano's continuous mapping from the unit interval onto the unit square is used as a basis for defining a mapping ...
This chapter introduces a multi-start global optimization algorithm that uses dimensional reduction techniques based upon approximations of space-filling curves and fuzzy adaptive simulated annealing, aiming at finding global minima of real-valued (possibly multimodal) functions that are not necessarily well...
Get PDF (177K) Keywords: compact rat-race; meander rat-race coupler; triangular-meander rat-race coupler; multimeander rat-race coupler; meander space-filling curves Abstract A new family of compact rat-race hybrid couplers is proposed. The novelty of the new structures stems from the idea of...
Space-Filling Curves (SFCs) may have an order. An example SFC order may reorganize data in three steps: (1) Partition the dataset's universe with a uniform grid and assign to each cell a value on the space-filling curve (SFCcode), (2) Assign an SFCcode to every point cloud entry ac...
A novel geometry, the geometry of Space-Filling Curves (SFC) is defined in the present invention and it is used to shape a part of an antenna. By means of this novel technique, the
The spatial-order method utilizes space-filling curves, also known as Peano curves, to determine the nearness or spatial order of areal units, such as counties. Given a capacity constraint, the areal units are grouped consecutively according to their spatial order values. We applied the method ...
(2006) `A cache-aware algorithm for PDEs on hierarchical data structures based on space-filling curves', SIAM Journal of Scientific Computing, Vol. 28, No. 5, pp.1634-1650.F. Gunther, M. Mehl, M. Pogl, and Ch. Zenger, A cache-aware algorithm for PDEs on hierarchical data structures...