2026-09-10T09:45:01Z https://drops.dagstuhl.de/oai

oai:drops-oai.dagstuhl.de:27549 2026-09-10T05:38:42Z ddc:004 open_access

An Extended Qualitative Model for Reasoning About 3D Objects Using Depth and Different Perspectives Ejarque, Martí Falomir, Zoe qualitative spatial reasoning spatial cognition first order logics three-dimensional information perspectives object perception SWI-Prolog Reconstructing a three-dimensional structure from partial two-dimensional views requires spatial reasoning. This paper presents the EQ3D, a dimension-agnostic extension of the Qualitative 3D (Q3D) model that generalises qualitative volumetric reasoning to arbitrary H× W× L configurations. EQ3D preserves symbolic depth representations while incorporating adjacent-view propagation rules that increase cross-view inference opportunities. Implemented in SWI-Prolog as a fully declarative pipeline, EQ3D infers hidden views from three orthographic Front-Right-Up views, producing correct inferred cells for the Q3D-Dataset which includes 24 objects of varying size and shape, while ambiguous cells remain explicitly undetermined. Coverage of hidden structure ranges from 26.85% to 82.67%, demonstrating that while inference remains logically sound, the proportion of determinable volume is inherently configuration-dependent. EQ3D provides an interpretable symbolic framework for qualitative 3D reasoning that scales across resolutions without size-specific adaptation. Schloss Dagstuhl – Leibniz-Zentrum für Informatik Martí Ejarque and Zoe Falomir 2026 Is Part Of LIPIcs, Volume 393, 17th International Conference on Spatial Information Theory (COSIT 2026) InProceedings Text doc-type:ResearchArticle publishedVersion application/pdf doi:10.4230/LIPIcs.COSIT.2026.5 urn:nbn:de:0030-drops-275490 https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.COSIT.2026.5 eng https://creativecommons.org/licenses/by/4.0/legalcode