Space Filling Curves
A Note on Space-Filling Visualizations and Space-Filling Curves
... on Space-Filling Visualizations and Space-Filling Curves Martin Wattenberg, IBM Research A BSTRACT A recent line of treemap research has focused on layout algorithms that optimize ...
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CiteSeerX — OVERVIEW OF SPACE-FILLING CURVES AND THEIR APPLICATIONS IN SCHEDULING
... ABSTRACT Space-filling Curves (SFCs) have been extensively used as a mapping from the multi-dimensional space into the one-dimensional ...A space-filling curve (SFC) maps the ...
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Exploiting novel properties of space filling curves for data analysis
... dimensional space are considered, but it is worth noting that the ideas in this paper generalise to higher dimensional ...space. Space-filling curves are typically defined recursively ...
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A framework for interpolating scattered data using space filling curves
... Abstract. The analysis of spatial data occurs in many disciplines and covers a wide variety activities. Available techniques for such analysis include spatial interpolation which is useful for tasks such as visualiza- ...
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On the number of face-connected components of Morton-type space-filling curves
... We show that the bound for the recently proposed tetrahedral Morton cube is roughly 2 L and thus growing with the level of refinement. Yet, we can demonstrate numerically that the fraction of connected to non-connected ...
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Parallelisation of Multiscale-Based Grid Adaptation using Space-Filling Curves
... Although multiscale-based grid adaptation leads to a significant reduction of the computational complexity (CPU time and memory) in comparison to computations on uniform meshes, this is not sufficient to perform 3D ...
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CiteSeerX — PARALLELISATION OF MULTISCALE-BASED GRID ADAPTATION USING SPACE-FILLING CURVES ∗
... via Space-Filling Curves When it comes to parallelisation, we have to take into account the mesh partitioning or the load-balancing ...by space-filling curves (SFC) by mapping a ...
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CiteSeerX — Lossless Compression of Medical Images Using Hilbert Space-Filling Curves
... Hilbert space-filling curves [19]. Hilbert space-filling curves have been applied to image compression ...Hilbert space-filling curve permutation and then a given ...
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Twins: Easy-managed location in self-organizing networks using Hilbert space-filling curves
... multidimensional space that is a strict mathematical representation of the network geographic ...logical space is used for addressing and routing, while location is performed in an easy-managed ...
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Enhancing Computational Thinking with Spreadsheet and Fractal Geometry: Part 4 Plant Growth modeling and Space Filling Curves
... Centre for excellence in Computational Engineering and Networking (CEN), Amrita Vishwa Vidyapeetham, Coimbatore, Tamil Nadu, India ABSTRACT String rewriting systems are another iterative process for creating fractals. ...
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CiteSeerX — Space filling curves in steganalysis
... recursive space filling curves can profit from two-dimensional correlations best and thus increase the performance of well-known steganalytic techniques to its ...a space filling curve ultimately solves ...
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CiteSeerX — Harmonious Hilbert curves and other extradimensional space-filling curves∗
... Hilbert curves are interdimensionally consistent At this point, I would like to pose the main result of this paper as an open ...Hilbert curves consitute an interdimensionally consistent ...Hilbert ...
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CiteSeerX — Meander: visually exploring the structural variome using space-filling curves
... Received November 26, 2012; Revised and Accepted March 19, 2013 ABSTRACT The introduction of next generation sequencing methods in genome studies has made it possible to shift research from a gene-centric approach to a ...
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Using Peano–Hilbert space filling curves for fast bidimensional ensemble EMD realization
... 1D space, the number of local extrema and zero crossings of an IMF must be the same, or differ by one ...2D space, the IMFs typically use the defin- ition of symmetry of upper and lower envelops related to ...
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Weighted space-filling designs
... unweighted space-filling designs, with FDS evaluated using β = 1, 10, ...design space for this example produce FDP plots that are quite flat for a majority of the design points (> ...design ...
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Weighted space-filling designs
... or space-fill, the design region of possible input values (Fang, ...these space-filling designs, such as computer- generated designs based on Euclidean distance, do not take into account ...
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Filling in the Facts: The Practice of Space-Filling in Hieroglyphic Luwian Inscriptions
... a space-filler, especially when we do not know what a word means or what its origins ...marking space-filler vowels as genuine plene in our transliterations, it is probably methodologically best to take the ...
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3 Classification of space curves
... of curves in spaces with dimension ≥ 3 has studied with geometers such as Guggenheimer [5], Spivak [15] and ...of curves under ...of space curves up to special affine ...of space ...
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ROC curves in cost space
... the segments are parabolic. Fortunately, there is no need to apply any complex algo- rithm to calculate the convex skull. There are two options for calculating Conv(m) in Definition 4 above. One option is to calculate ...
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Pointwise smoothness of space-filling functions
... 2. Space-filling functions In this section, we consider some geometric properties of space-filling functions that are commonly satisfied, and we investigate their implications in terms of pointwise ...is ...
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