# topo-unary-gMinumumRotatedRectangle: Centroid of Geometry In rgeos: Interface to Geometry Engine - Open Source ('GEOS')

## Description

Returns the minimum rotated rectangular POLYGON which encloses the input geometry.

## Usage

 `1` ```gMinumumRotatedRectangle(spgeom, byid=FALSE, id = NULL) ```

## Arguments

 `spgeom` sp object as defined in package sp `byid` Logical determining if the function should be applied across subgeometries (TRUE) or the entire object (FALSE) `id` Character vector defining id labels for the resulting geometries, if unspecified returned geometries will be labeled based on their parent geometries' labels.

## Details

Returns the minimum rotated rectangular POLYGON which encloses the input geometry. The rectangle has width equal to the minimum diameter, and a longer length. If the convex hill of the input is degenerate (a line or point) a LINESTRING or POINT is returned. The minimum rotated rectangle can be used as an extremely generalized representation for the given geometry.

## Author(s)

Roger Bivand & Colin Rundel

`gBoundary` `gConvexHull` `gEnvelope` `gPointOnSurface`
 ``` 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16``` ```if (version_GEOS0() >= "3.9.0") { x = readWKT(paste("GEOMETRYCOLLECTION(POLYGON((0 0,10 1,10 11,0 10,0 0)),", "POLYGON((15 0,25 12,35 3,15 0)))")) # Minimum rotated rectangles of both the square and circle independently c1 = gMinumumRotatedRectangle(x,byid=TRUE) # Minimum rotated rectangle of square and circle together c2 = gMinumumRotatedRectangle(x) opar <- par(mfrow=c(2,1)) plot(c1, border='red', lwd=2, lty=2) plot(x,add=TRUE) plot(c2, border='blue', lwd=2, lty=3) plot(x,add=TRUE) par(opar) } ```