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Theta is ranging from 0-90 degree.
the Idea behind this is, if we have 2 points ( lets say (0,0 ) as initial point and (10,10) as final point ) and we want to move from initial point to final point in steps ( each step is 1 meter ). if we encounter obstackles , then we have some turns, how can we can minimize the turns in order to minimize the steps, and thats only by finding theta_i that results in minmime turns and therefore steps to final point.
thank you Bob !
I want K to appear in the final expression. K is number of steps or turns, and its an integer value. everytime an incriment of 1 to k, there is a new angle theta.
the problem arises from turns of a robot that walk. so I want to know the minmim steps of the robot to the goal point. each step is 1 meter.
How can I choose Theta_i in order to get min steps for man robot ( K)
theta_i is angles in degree. from 1 up to k.. k is finite number.
I want to minimize this term ... j(K) = summation from i=1 to k ( cos( theta_i)+ Sin(theta_i))
I want to find Theta1,Theta2.... Theta k that minmize j(k)..
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