GeoStamp: Detail Transfer Based on Mean Curvature Field

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.

Camera Path Generation for Triangular Mesh Using Toroidal Patches

“…The digital twin concept has made 3D models a crucial component across various industries, from state-of-the-art IT sectors to traditional manufacturing, as they continue to embrace digital twin technology for innovation. Among the various data structures for these 3D models, the triangular mesh, which comprises a set of vertices (V), edges (E), and triangles (F), stands out as a predominant choice in both industry and academic research [1][2][3][4].…”