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GeoStamp: Detail Transfer Based on Mean Curvature Field

Author

Listed:
  • 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)

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.

Suggested Citation

  • Jung-Ho Park & Ji-Hye Moon & Sanghun Park & Seung-Hyun Yoon, 2022. "GeoStamp: Detail Transfer Based on Mean Curvature Field," Mathematics, MDPI, vol. 10(3), pages 1-14, February.
    • Handle: RePEc:gam:jmathe:v:10:y:2022:i:3:p:500-:d:742112
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    Cited by:

    1. Huska, Martin & Morigi, Serena & Recupero, Giuseppe, 2023. "Geometric texture transfer via local geometric descriptors," Applied Mathematics and Computation, Elsevier, vol. 451(C).

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