Cubic Bezier Curve Approach for Automated Offline Signature Verification with Intrusion Identification

Algorithm 3

(1)    Function GET PARAM ETERS(Image s1)

(2)   Begin

(3)   Get Curves[] BezierCurves = GetCurves(s1)

(4)   for each (Curve BC in BezierCurves)

(5)   Plot the BC in the graph

(6)   end for

(7)   ControllingPoints(𝑆𝑃1,𝑆𝑃2)andStart-EndPoint(𝑃0,𝑃1) = GetControllingAndStart-EndPoint(BC);

(8)    Plot Start-End points and Controlling Points

(9)    Find Regional Slope (𝑚1)𝑃0=𝑚1𝑃1+𝑐(𝑐 constant)

(10)  Find Controlling Slope (𝑚2)𝑆𝑃1=𝑚2𝑆𝑃2+𝑐

(11)   Find Midpoint of Regional Slope: (𝑃𝑋,𝑃𝑌)

(12)  Find Midpoint of Controlling Slope: (𝑆𝑋,𝑆𝑌)

(13)  Find Distance: 𝑑=(𝑃𝑋−𝑆𝑋)²−(𝑃𝑌−𝑋𝑌)²

(14) End