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Autores principales: Negro, Romain, Lachaud, Jacques-Olivier
Formato: Preprint
Publicado: 2026
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Acceso en línea:https://arxiv.org/abs/2603.11851
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author Negro, Romain
Lachaud, Jacques-Olivier
author_facet Negro, Romain
Lachaud, Jacques-Olivier
contents Computing visibility on a geometric object requires heavy computations since it requires to identify pairs of points that are visible to each other, i.e. there is a straight segment joining them that stays in the close vicinity of the object boundary. We propose to exploit a specic representation of digital sets based on lists of integral intervals in order to compute eciently the complete visibility graph between lattice points of the digital shape. As a quite direct application, we show then how we can use visibility to estimate the normal vector eld of a digital shape in an accurate and convergent manner while staying aware of the salient and sharp features of the shape.
format Preprint
id arxiv_https___arxiv_org_abs_2603_11851
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Fast and exact visibility on digitized shapes and application to saliency-aware normal estimation
Negro, Romain
Lachaud, Jacques-Olivier
Computational Geometry
Computing visibility on a geometric object requires heavy computations since it requires to identify pairs of points that are visible to each other, i.e. there is a straight segment joining them that stays in the close vicinity of the object boundary. We propose to exploit a specic representation of digital sets based on lists of integral intervals in order to compute eciently the complete visibility graph between lattice points of the digital shape. As a quite direct application, we show then how we can use visibility to estimate the normal vector eld of a digital shape in an accurate and convergent manner while staying aware of the salient and sharp features of the shape.
title Fast and exact visibility on digitized shapes and application to saliency-aware normal estimation
topic Computational Geometry
url https://arxiv.org/abs/2603.11851