Web 3D indoor authoring and VR exploration via texture baking service

Spini, Federico; Marino, E; D'Antimi, Michele; Carra, Edoardo; Paoluzzi, Alberto

doi:10.1145/2945292.2945309

Cited by 6 publications

(1 citation statement)

References 11 publications

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“…Our conversations produced some papers [72,17,73] that started a lasting sequence of web and face-to-face discussions, algebraic experiments and software tests, producing in recent years three open-sourced partial implementations in Python and Julia. Partial implementations were used for software-based experiments of user-tracking and interior geo-mapping in LAR-based Building Information Modeling (BIM), meta-design of a general hospital, and delivery of web services aiming at deconstruction and reuse of buildings [96,97,98,99].…”

Section: Past Development and Prospects Of This Projectmentioning

confidence: 99%

Topological computing of arrangements with (co)chains

Paoluzzi¹,

Shapiro²,

DiCarlo³

et al. 2019

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In many areas of applied geometric/numeric computational mathematics, including geo-mapping, computer vision, computer graphics, finite element analysis, medical imaging, geometric design, and solid modeling, one has to compute incidences, adjacencies and ordering of cells, generally using disparate and often incompatible data structures and algorithms. This paper introduces computational topology algorithms to discover the 2D/3D space partition induced by a collection of geometric objects of dimension 1D/2D, respectively. Methods and language are those of basic geometric and algebraic topology. Only sparse vectors and matrices are used to compute both spaces and maps, i.e., the chain complex, from dimension zero to three.

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