Slope regions are a useful tool in patternrecognition. We review theory about slope regionsand prove a theorem linking monotonic paths and theconnectedness of levelsets. Unexpected behavior ofslope regions in higher dimensions is illustrated bytwo examples. We introduce theborder propagation(BP) algorithm, which decomposes ad-dimensionalarray (d∈N) of scalar values into slope regions. Itis novel as it allows more than 2-dimensional data.


Bogner, A., Palmrich, A., & Kropatsch, W. (2020). Border Propagation: A Novel Approach to Determine Slope Region Decompositions. In Proceedings of the Joint Austrian Computer Vision and Robotics Workshop 2020 (p. 6). https://doi.org/10.3217/978-3-85125-752-6-31