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SUBPAVING

Subpaving

Geometrical object

In mathematics, a subpaving is a set of nonoverlapping boxes of R⁺. A subset X of Rⁿ can be approximated by two subpavings X⁻ and X⁺ such that X⁻ ⊂ X ⊂ X⁺

Subpaving

Motion planning

Computational problem

configuration space instead of a grid. The paving is decomposed into two subpavings X−,X+ made with boxes such that X− ⊂ Cfree ⊂ X+. Characterizing Cfree

Motion planning

Motion_planning

Quadtree

Tree data structure that partitions a 2D area

to a specific subregion. It can be also interpreted as a method for "subpaving the region", based on set of hierarchical grids; or as a method of image

Quadtree

Octree

Data structure in computer science

problem Linear octree OGRE, has an octree scene manager implementation Subpaving Voxel Quadtree https://arxiv.org/abs/2508.06316 Whitney, Hassler (1934)

Octree

Cover (topology)

Subsets whose union equals the whole set

Set cover problem – Classical problem in combinatorics Star refinement Subpaving – Geometrical object Willard, Stephen (1998). General Topology. Dover

Cover (topology)

Cover_(topology)

Image tracing

Conversion of raster graphics into vector graphics

detection Image scanner Optical character recognition Quantization error Subpaving Pepper 2005, pp. 68–71 Ploch 2005, p. 17 Adobe 1998, pp. 100–101 Adobe

Image tracing

Image_tracing

Set inversion

Mathematical problem of finding the set mapped by a specified function to a certain range

(or an inclusion function) [f ] for f. Classified boxes are stored into subpavings, i.e., union of non-overlapping boxes. The algorithm can be made more

Set inversion

Set_inversion

Set estimation

Estimation approach for random vectors by representing them as sets

analysis. The feasible set P is then approximated by an inner and an outer subpavings. The main limitation of the method is its exponential complexity with

Set estimation

Set_estimation

Online names & meanings

Liggett

Surname or Lastname

English (now found mainly in northern Ireland)

Liggett

English (now found mainly in northern Ireland) : topographic name from Middle English lidyate â€˜gate in a fence between plowed land and meadowâ€™ (Old English hlid-geat â€˜swing-gateâ€™), or a habitational name from one of the places named with this word, as for example Lidgate in Suffolk or Lydiate in Lancashire.

Rosten

Surname or Lastname

English

Rosten

English : variant of Rosson.Norwegian : habitational name from any of several farmsteads named Rosten or RÃ¸sten, from rust â€˜groveâ€™, â€˜ridgeâ€™.Americanized form of one or more like-sounding Jewish surnames. Compare Rothstein.