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Abstract Point‐cloud spatial expansion (PCSE) allows the creation of a new point‐cloud form that presents an alternative geometry of an entire object in a single spatial view. Spatial expansion facilitates the analysis process and introduces an additional spatial parameter describing the point cloud. An important element of the PCSE method is determining the position of the axis of symmetry of a symmetrical object: the procedure for determining the parameters of this axis (set of cross‐sectional centres) of the object’s point cloud by the total least‐squares method is presented. The estimation results were used to create a spatial expansion of the point cloud of a cylindrical object, demonstrating the usefulness of total least‐squares fitting to the PCSE method.
Dąbrowski et al. (Tue,) studied this question.