Input |
Output |

**Input Description:** A set \(S\) of \(n\) points in \(E^d\), and a query polygon \(Q\). **Problem:** Which points from \(S\) lie within \(Q\)?

**Excerpt from** The Algorithm Design Manual: Range search problems arise in database and geographic information system (GIS) applications. Any data object with \(d\) numerical fields, such as person with height, weight, and income, can be modeled as a point in \(d\)-dimensional space. A *range query* describes a region in space and asks for all points or the number of points in the region. For example, asking for all people with income between $0 and $10,000, with height between 6'0'' and 7'0'', and weight between 50 and 140 lbs. defines a box containing people whose body and wallets are both thin.

Kd-Trees |
Nearest Neighbor Search |
Point Location |

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