Partial differential equation (PDE) based surfaces own a lot of advantages, compared to
other types of 3D representation. For instance, fewer variables are required to represent the …

Partial differential equation (PDE) based geometric modelling has a number of advantages
such as fewer design variables, avoidance of stitching adjacent patches together to achieve …

By extending the work published at ICCS 2021 Zhu et al.(2021), in this paper we propose a
new method for using multiple explicit PDE surface patches to reconstruct complex 3D …

Point cloud models acquired by passive three-dimensional reconstruction systems based on
binocular or multi-view involve large amounts of noise and its distribution is uneven, which …

Euler's elastica energy regularizer, initially employed in mathematical and physical systems,
has recently garnered much attention in image processing and computer vision tasks. Due …

The usage of the point cloud surface reconstruction to generate high-precision 3D models
has been widely applied in various fields. In order to deal with the problems of insufficient …

The recent advent of increasingly affordable and powerful 3D scanning devices capable of
capturing high resolution range data about real-world objects and environments has fueled …

Surface reconstruction is an important task in the field of 3d-GIS, computer aided design and
computer graphics (CAD & CG), virtual simulation and so on. Based on available …

Especially I thank my supervisor Joachim Weickert, and the people in his research group at
Saarland University in Germany, where I stayed as a guest for most of the time. It has been a …

For fast surface reconstruction from given scattered point clouds, this paper presents a two-
level implicit function interpolation algorithm based on compactly supported radial basis …