IM (version 1.0)

calcMaxRadius: Compute maximum radius.

Description

Compute maximum distance of all pixels from the centroid of the image. Alternatively, it is the radius of the the smallest disk that covers the entire image with its origin at the centroid. The radius is determined by: $$r = \frac{m_{00}}{2} \sqrt{\frac{N}{M}+ \frac{M}{N}}$$ where $$m_{pq} = \sum_{1}^{N} \sum_{1}^{M} (x^p)(y^q)f(x,y)$$

Usage

calcMaxRadius(I, center)

Arguments

I

A 2-dimensional image matrix.

center

The x and y coordinates of the image centroid, input as c(x0, y0). If missing, the centroid will be calculated automatically.

Value

• maxRadius
  The radius of the the smallest disk that covers the entire image with its origin at the centroid.

See Also

CmplxIm,calcCentroid,polarXY

Examples

data(mandril)
I=rowSums(img,dims=2);

maxRadius= calcMaxRadius(I);
maxRadius= calcMaxRadius(I, calcCentroid(I));