A User Authentication Scheme Using Physiological and Behavioral Biometrics for Multitouch Devices

Algorithm 2

Hand natural pose restoration.

Input: 𝐹_𝑖={(𝑥_𝑖,𝑦_𝑖)∣0<𝑖<6)} //𝐹_𝑖 is the user input fingers

Output: array 𝐴 //array with fingers in order

(1) sort(𝐹_𝑖) by 𝑥_𝑖 in ascending order

(2) assing 𝑡=𝑘, which max(𝑦_𝑘) of 𝐹_𝑖 //Detect thumb by finding the maximum position of 𝑦-axis

(3) assing 𝑟 = CheckRight(𝐹_𝑖); //check user is left-hand

(4) if  𝑟 = “right-hand” then shift 𝐴[𝑡] to 𝐴[1];

(5) else shift 𝐴[𝑡] to 𝐴[5];