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An Implicit Representation of Swept Volumes based on Local Shapes and\n Movements

2020/03/25 by Clément Laroche, Laroche, Clément · 1 citation
Computer Science · Engineering · #3D Shape Modeling and Analysis #Advanced Vision and Imaging #Computational Geometry (cs.CG) #Computer Graphics and Visualization Techniques #FOS: Computer and information sciences #Image Processing and 3D Reconstruction

paper · pdf · doi:10.48550/arxiv.2003.11527

openalex publication_date 2020/03/25 · openalex created_date 2022/07/26 · openalex updated_date 2026/07/28

Abstract

We introduce a new way to implicitly represent swept volumes in 3D. We first\nimplicitize the base volume and then apply the time-dependent rigid\ntransformation to build an implicit representation of the swept volume. This\nway, we build a fitting representation, where geometric details generated by\nthe rigid transformation and details of the base volume itself are both taken\ninto account. This representation relies on a partition of a boundary box of\nthe swept volume according to portions of the space related either to parts of\nthe base volume or to time span of the transformation.\n

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