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.
Highlights
We show various results of a detail transfer based on the control of shape details in frequency domain
The control parameter α mainly influences the global intensity of the shape details rather than sophisticated shape features
We presented an effective method for transferring the shape details from a source region to a target region of a triangular mesh
Summary
Mathematics 2022, 10, Owing to their simplicity and hardware-accelerated rendering facilities, triangular meshes have been widely used to represent the shape of three-dimensional (3D) objects in computer graphics and real-time 3D applications. During the last several decades, the modeling and deformation of a triangular mesh has been an important research subject in geometric modeling and processing owing to its ever widening range of applications in industrial and artistic design [1]. Among these techniques, creating shape details is an essential process for enhancing the realism of 3D objects. Manually creating shape details with existing modeling tools is still a tedious and time-consuming task. Detail transfer refers to the process of extracting the shape details from one region and transferring it to another
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