# MATLAB: Shortest path in 2D matrix between two coordinate points

data structuresdijkstra's algorithmImage Processing Toolboxshortest pathwall attenuation

As in the attached image, i have a 2D matrix of 50 by 50. The matrix contains zeros (blue) and ones(yellow). Imagine it as a floor, The yellow or ones mean the walls. In this whole matrix a transmitter(T) and receiver (R) can be placed anywhere and i need to know how many walls the signal penetrates when it reaches from T to R. Lets suppose the T is at (x,y) and R is at (i,j). I take the shortest path between T and R. If i get the shortest path i can calculate the number of 1s in the path and that will be the number of walls which i need.
Can anyone help in this regard.. Thank you

YOu have the following options to check:
1. Do interpolation of the points along the path, if any point has 1, it is crossing the wall. Note that, for this you need to generate lot many points along the path so that a point lies on the yellow path.
2. Generate the points along the path, get the nearest neigboours to those points and see, any point is from yellow path.
3. Find the intersection between shortest paths and yellow paths. This would be better a solution.