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In mathematics, given a non-empty set of objects of finite extension in d {\displaystyle d} -dimensional space, for example a set of points, a bounding sphere, enclosing sphere or enclosing ball for that set is a d {\displaystyle d} -dimensional solid sphere containing all of these objects.
The analysis highlights Applications, Algorithms and Overview as prominent areas in the source structure around Bounding sphere.
Source areas are shown by the number of related topics found in each part of the analysis. Use smaller areas too: they can reveal specialized angles and content gaps.
Smaller areas are not necessarily less important. They contain fewer connections in this analysis and can be useful for finding specialized angles or coverage gaps.
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The extracted context around Bounding sphere shows recurring relationship patterns in the source. For example, Bounding sphere → Jack Ritter, Otherwise, Pick, Repeat, Search, Set Another extracted example is Bounding sphere → Emo Welzl, Nimrod Megiddo, Raimund Seidel, Timothy Chan, Welzl's. Use these groups to spot repeated connection types before inspecting the individual relationships.
Use these terms to understand the vocabulary surrounding the topic, not as a checklist for keyword stuffing.
sphere bounding points algorithm displaystyle point time problem set radius algorithms exact used objects applications also proposed may within spheres
TTTA extracted 16 structured relationships around Bounding sphere. Examples in this analysis include Bounding sphere → is a → special type of bounding volume and a least squares point is computed to represent the cluster → instance of → but instead some form of average location. The table shows each extracted connection, where it came from and its confidence.
| Subject | Predicate | Object | Confidence | Src |
|---|---|---|---|---|
| Bounding sphere | is a | special type of bounding volume | 0.90 | text |
| a least squares point is computed to represent the cluster | instance of | but instead some form of average location | 0.80 | text |
| Boyd | instance of | especially in higher dimensions or when integrating with other optimization-based methods.This convex formulation is discussed in sources | 0.80 | text |
| Bounding sphere | related to Core-set based approximation | Bădoiu | 0.60 | section |
| Bounding sphere | related to Extremal points optimal sphere | Larsson | 0.60 | section |
| Bounding sphere | related to Linear programming | Nimrod Megiddo | 0.60 | section |
| Bounding sphere | related to Linear programming | Emo Welzl | 0.60 | section |
| Bounding sphere | related to Linear programming | Raimund Seidel | 0.60 | section |
| Bounding sphere | related to Linear programming | Welzl's | 0.60 | section |
| Bounding sphere | related to Linear programming | Timothy Chan | 0.60 | section |
| Bounding sphere | related to Ritter's bounding sphere | Jack Ritter | 0.60 | section |
| Bounding sphere | related to Ritter's bounding sphere | Pick | 0.60 | section |
The concept neighborhoods around Bounding sphere bring nearby vocabulary together. In this analysis, examples include Sphere, Problem and Algorithms. Use the clusters to find adjacent concepts and terminology that may deserve separate research.
For Bounding sphere, one of the stronger structural bridges in this analysis connects Bounding sphere with Algorithms. Bridges highlight paths between different parts of the map and can reveal research angles that are easy to miss in a flat list.
TTTA analyzes the structure around Bounding sphere to surface related topics, entities, relationships, concept neighborhoods and bridge connections. Use the map to explore areas such as Applications, Algorithms & Overview, including less central topics that may reveal useful research gaps. Automatically extracted connections are research leads rather than rewritten encyclopedia content.
Source: Wikipedia — Bounding sphere · EN edition · Analysis: TopicsToTalkAbout
