Horizon measures

Eugene Zhang, Peter Wonka, Vivek Jadye, Yue Zhang, Christine Escher, Xiaofei Gao

Research output: Chapter in Book/Report/Conference proceedingConference contribution


In this paper we seek to answer the following question: where do contour lines and visible contour lines (silhouette) tend to occur in a 3D surface. Our study leads to two novel shape descriptors, the horizon measure and the visible horizon measure, which we apply to the visualization of 3D shapes including archeological artifacts. In addition to introducing the shape descriptors, we also provide a closed-form formula for the horizon measure based on classical spherical geometry. To compute the visible horizon measure, which depends on the exact computation of the surface visibility function, we instead of provide an image-based approach which can process a model with high complexity within a few minutes.
Original languageEnglish (US)
Title of host publicationSIGGRAPH ASIA 2016 Technical Briefs on - SA '16
PublisherAssociation for Computing Machinery (ACM)
ISBN (Print)9781450345415
StatePublished - Nov 28 2016


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