RT info:eu-repo/semantics/article
T1 Fourth order method to compute the volume of archaeological vessels using radial sections: Pintia pottery (Spain) as a case study
A1 Portillo de la Fuente, Ana María
A1 Sanz, C.
AB In the archaeological community there is an interest in knowing the volumeof the vessels rescued in the excavations, to study, among other things, ifthe capacity measures were standardized. The problem is that sometimesit is not possible to check the volume physically because the piece is toodelicate or too large or simply incomplete. There is a fairly widespreadidea that it is sufficient to know a radial section of the vessel to reconstruct it in 3D. Then, the volume is approximated by dividing the heightin small sub-intervals sufficiently small and in each sub-interval the volumeis approximated by that of a cylinder. This is equivalent to using the composite rectangular rule for the squared radius. This method works well if thepiece made around is regular, more specifically if the horizontal sections arecircumferences. The point is that most archaeological pieces have deformations, which makes the previous method very inaccurate. In this work amethod that, instead of using a single section, uses several radial sectionsequally spaced between 0 and 2π angles and then take the average, is proposed. It is shown that the method gives a volume approach of fourth orderwith respect to the angle. Numerical experiments are presented on an academic example whose horizontal sections are ellipses, another academicexample with less symmetries and an example of a Pintia vessel with anevident deformation in which the proposed method is tested.
PB Taylor & Francis Group
SN 1029-0265
YR 2020
FD 2020
LK http://uvadoc.uva.es/handle/10324/41061
UL http://uvadoc.uva.es/handle/10324/41061
LA eng
NO International Journal of Computer Mathematics, June 2020, 1-15.
NO Producción Científica
DS UVaDOC
RD 22-nov-2024