Algorithm.

. Search_Local_Minima_on_Energy_Surface.

Input:

$E(t,\sigma )$: energy surface where t and σ are threshold and gradient parameters, respectively

Output:

Types I and II optimum locations for threshold and gradient parameters

Begin:

for all values of the threshold parameter tdo

for all values of gradient parameter σdo

if$(t,\sigma )$ is a valid pit

select$(t,\sigma )$ as a type I optimum location for threshold and gradient parameters

ift is a valid valley point on $E_{\sigma }$

find the eight-connected path π of valid valley points containing $(t,\sigma )$

ifπ contains no valid pit or type I optimum location

select a type II optimum location on π

end