Horizon measures

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

doi:10.1145/3005358.3005390

Horizon measures

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

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Abstract

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 language	English (US)
Title of host publication	SIGGRAPH ASIA 2016 Technical Briefs on - SA '16
Publisher	Association for Computing Machinery (ACM)
ISBN (Print)	9781450345415
DOIs	https://doi.org/10.1145/3005358.3005390
State	Published - Nov 28 2016

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KAUST Repository Item: Exported on 2020-10-01

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10.1145/3005358.3005390

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title = "Horizon measures",

abstract = "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.",

author = "Eugene Zhang and Peter Wonka and Vivek Jadye and Yue Zhang and Christine Escher and Xiaofei Gao",

note = "KAUST Repository Item: Exported on 2020-10-01",

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month = nov,

day = "28",

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language = "English (US)",

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publisher = "Association for Computing Machinery (ACM)",

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T1 - Horizon measures

AU - Zhang, Eugene

AU - Wonka, Peter

AU - Jadye, Vivek

AU - Zhang, Yue

AU - Escher, Christine

AU - Gao, Xiaofei

N1 - KAUST Repository Item: Exported on 2020-10-01

PY - 2016/11/28

Y1 - 2016/11/28

N2 - 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.

AB - 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.

UR - http://hdl.handle.net/10754/622766

UR - http://dl.acm.org/citation.cfm?doid=3005358.3005390

UR - http://www.scopus.com/inward/record.url?scp=85008252474&partnerID=8YFLogxK

U2 - 10.1145/3005358.3005390

DO - 10.1145/3005358.3005390

M3 - Conference contribution

SN - 9781450345415

BT - SIGGRAPH ASIA 2016 Technical Briefs on - SA '16

PB - Association for Computing Machinery (ACM)

ER -

Horizon measures

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