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What is Algebraic Point Set Surfaces (APSS)

Handbook of Research on Emerging Technologies for Digital Preservation and Information Modeling
This technique defines a smooth surface from a set of points using local moving least-squares (MLS) fitting of algebraic spheres. The key idea of APSS is to locally approximate the point cloud by a fitted algebraic sphere that moves continuously in space.
Published in Chapter:
Going Further: (Re)Discovering Rock Art Carvings with Photogrammetric Techniques in Galicia (North-West Iberian Peninsula)
Benito Vilas-Estevez (University of Wales Trinity Saint David, UK), Alia Vázquez-Martínez (Universidade de Santiago de Compostela, Spain), and Miguel Carrero-Pazos (Universidade de Santiago de Compostela, Spain)
DOI: 10.4018/978-1-5225-0680-5.ch008
Abstract
In this chapter a revision of the traditional tracing methods over petroglyphs through the employment of three dimensional models is proposed. The different techniques suggested here are: Radiance Scaling and Algebraic Point Set Surfaces (APSS). Radiance Scaling is a shader that adjusts reflected light intensities in a way dependent on both surface curvature and material characteristics. While APSS allows the colorization of the vertices of a mesh or point set using the curvature of the underlying surface. These methods applied to 3D models allow a better visualisation, comprehension, and objectification of the open-air rock art carvings, improving the researches over a more reliable database, but also for issues related to management and conservation.
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