Journal
DESIGN TOOLS AND METHODS IN INDUSTRIAL ENGINEERING II, ADM 2021
Volume -, Issue -, Pages 930-937Publisher
SPRINGER-VERLAG SINGAPORE PTE LTD
DOI: 10.1007/978-3-030-91234-5_94
Keywords
Hausdorff distance; Mesh; Accuracy assessment; Cultural Heritage
Ask authors/readers for more resources
The field of simplification of geometric surfaces lacks a universally recognized definition of the error, but this study proposes a method for quantification.
The field of simplification of geometric surfaces still lacks a formal and universally recognized definition of the error, which should involve both the approximation of the shape and the conservation of the other attributes of the mesh (starting from the colour). In order to solve this problem, we propose a hypothesis of methodological comparison that allow the evaluation of differences between two homologous surfaces, quantified employing the Hausdorff distance. Themain advantage of this method is the independence from sampling techniques used to produce the mesh, without losing its characteristics of objectivity and generality. The Hausdorff distance geometrically represents the distance between two sets A and B in a suitable metric space, and it is defined as the maximum between the excess of A over B and the excess of B over A. This value is then compared with the average length of the diagonals of the bounding boxes of the homologous models, i.e. the parallelepipeds corresponding to the minimum volume that completely envelops each set; this results in an effective representation of error in relative terms.
Authors
I am an author on this paper
Click your name to claim this paper and add it to your profile.
Reviews
Recommended
No Data Available