Homotopy-based 3D indoor building reconstruction

What is it about?

In this research, to reduce the time and cost of the surveying process for indoor building data collection, a rangefinder was used and compared to several conventional surveying equipment types, including a total station and a laser scanner. The rangefinder was calibrated using least squares adjustment and a method of combined interval analysis and homotopy continuation to model the uncertainty level and minimize the error of the rangefinder used in an indoor building environment. Six topological relationships were defined to obtain a precise geometric model collected by the rangefinder and compared to a precise geometric model collected by the Trimble M3. Homotopy gives far better results in term of RMSE for the reconstruction of results based on the coordinates collected using the rangefinder and total station. In a test case for the calibration of room 10, homotopy gives results 11 times better than those produced using conventional surveying engineering methods (i.e. linear least squares).

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