GeoStamp: Detail Transfer Based on Mean Curvature Field

Jung-Ho Park, Ji-Hye Moon, Sanghun Park and Seung-Hyun Yoon
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Jung-Ho Park: Department of Multimedia Engineering, Dongguk University, Seoul 04620, Korea
Ji-Hye Moon: Department of Multimedia Engineering, Dongguk University, Seoul 04620, Korea
Sanghun Park: Department of Multimedia, Dongguk University, Seoul 04620, Korea
Seung-Hyun Yoon: Department of Multimedia Engineering, Dongguk University, Seoul 04620, Korea

Mathematics, 2022, vol. 10, issue 3, 1-14

Abstract: A shape detail transfer is the process of extracting the geometric details of a source region and transferring it onto a target region. In this paper, we present a simple and effective method, called GeoStamp , for transferring shape details using a Poisson equation. First, the mean curvature field on a source region is computed by using the Laplace–Beltrami operator and is defined as the shape details of the source region. Subsequently, the source and target regions are parameterized on a common 2D domain, and a mean curvature field on the target region is interpolated by the correspondence between two regions. Finally, we solve the Poisson equation using the interpolated mean curvature field and the Laplacian matrix of the target region. Consequently, the mean curvature field of the target region is replaced with that of the source region, which results in the transfer of shape details from the source region to the target region. We demonstrate the effectiveness of our technique by showing several examples and also show that our method is quite useful for adding shape details to a surface patch filling a hole in a triangular mesh.

Keywords: detail transfer; mean curvature; hole filling (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
References: View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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