MATLAB how to calculate elongation of a BW image -


i trying extract features leaf recognition application in matlab. need elongation value described following:

compute maximum escape distance dmax = maxx ∈ i d(x,∂i). elongation obtained 1 - 2dmax / d(i) , ranges 0 1. minimum achieved circular region. note ratio 2dmax/d(i) quotient between diameter of largest inscribed circle , diameter of smallest circumscribed circle.

d(i) diameter of image i. ∂i border of i.

pretend circular shaped image. furthest point border of shape center. called maximum escape distance. 

elongation = 1 - (interior ellipse radius/surrounding ellipse raidus)

enter image description here

regionprops result image below:

 area: 352085  centroid: [311.2075 492.9844]  boundingbox: [2.5000 2.5000 586 1139]  subarrayidx: {1x2 cell}  majoraxislength: 869.2058  minoraxislength: 535.2340  eccentricity: 0.7879  orientation: -85.2073  convexhull: [99x2 double]  conveximage: [1139x586 logical]  convexarea: 403293  image: [1139x586 logical]  filledimage: [1139x586 logical]  filledarea: 352085  eulernumber: 1  extrema: [8x2 double]  equivdiameter: 669.5435  solidity: 0.8730  extent: 0.5275  pixelidxlist: [352085x1 double]  pixellist: [352085x2 double]  perimeter: 3.2466e+03


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