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Barycentric convolution surfaces based on general planar polygon skeletons.

Zhu, X., Song, C., Zhu, M., Wang, X., You, L. and Jin, X., 2020. Barycentric convolution surfaces based on general planar polygon skeletons. Graphical Models, 109 (May), 101069.

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GMOD paper submitted.pdf - Accepted Version
Available under License Creative Commons Attribution Non-commercial.


DOI: 10.1016/j.gmod.2020.101069


© 2020 Elsevier Inc. Using barycentric coordinates for thickness interpolation, we present a novel polygonal skeleton based convolution surface approximation method with varying radii. Given the prescribed radii of an arbitrary planar polygonal skeleton, we first employ a smooth interior mean value coordinate interpolation approach to calculate the thickness at each projection position in the polygonal plane. Then a local thickness approximation method based on finite-support kernels is introduced to create an implicit surface with smoothly varying thickness. In addition, a polygon offset with different distances by winding numbers is employed to create local approximation at polygon boundaries. Our experiments show that the proposed uniform smooth thickness interpolation and local convolution approximation method can not only avoid surface wrinkles but also reduce computation cost. Moreover, our approach is insensitive to exterior thickness interpolation. Therefore smooth barycentric coordinates within a polygon can all be easily integrated into our approach.

Item Type:Article
Uncontrolled Keywords:Convolution surfaces; Polygon skeleton; Barycentric coordinates; Support radius
Group:Faculty of Media & Communication
ID Code:34375
Deposited By: Symplectic RT2
Deposited On:04 Aug 2020 12:25
Last Modified:14 Mar 2022 14:23


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