Algorithm for Clustering Points

I require an experienced C# programmer/engineer to write an algorithm for me. The algorithm will be part of a larger system, and should the programmer be a good fit, I would love to offer some more regular work. I describe the algorithm requirements below. You will be provided with a list of points, these points should be clustered and classified using the DBScan algorithm (Already written, I can provide if needed). These clusters are effectively just points drawn on an image to estimate a line, so I will need you to write a function in C# to convert the clusters of points to a line, and then to test the lines against one another (using parallelism and distance) to determine whether they are in fact just continuations of one another. You will then be given a numerical length (X), which will be less than the length of the lines. You will step across the lines from the beginning, in steps of X, until you reach the end. The output of this function will be the point at each step of X. There are some speed constraints here, as the number of points being passed to the algorithm could be up to 500,000. You will need to be efficient, and I'm happy for you to write OpenCL code if you need to in order to achieve this. I have attached an image to help convey the concept. I'm keen to start this project within the day, so please let me know if you're interested and send me a Resume. Thanks!