# Can we paint it?

Another problem we face is to tell the robot which lines it can paint and which not
That it knows its position is all fine and handy but the reverse vector calculations needed are slow and messy.

Traditionally every vector has a start point, a function and a length. For the robot to know which lines it can fully paint it needs to take multiple points on that line and then check if it can reach them. These reverse Cartesian calculations take a lot of processing power and drastically slows down the system.

Therefore we decided to split up the image into a grid. Now instead of calculating the ability to draw a line it checks if it can reach the outer corners of the respective box within the grid. This has the upside that it can now much faster check which lines it can paint yet also comes with some disadvantages.

First of all the system has no way of knowing how to stitch different lines together. This means that when two boxes are within its reach it will not make a continuous curve of lines passing from one to the other box. Also since we are using boxes there might be a whole lot of white within the area, but if the robot can not reach the corner it will not start painting since the box is “outside of its reach”.

By making the box sizes smaller you reduce the second problem yet increase the first problem. We were hoping to test for an optimum within the system yet due to time pressure we were forced to make a fixed choice. We chose a 2x2m image with a grid of 4×4=16 boxes.

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