This paper presents a compact and efficient 88-line MATLAB code for the parameterized
level set method based topology optimization using radial basis functions (RBFs), which is …

Implicit surfaces (IS) are commonly used in image creation, modeling environments,
modeling objects, and scientific data visualization. In this article, we present a survey of …

Meshfree approximation methods are a relatively new area of research, and there are only a
few books covering it at present. Whereas other works focus almost entirely on theoretical …

With contributions by Michael Ashikhmin, Michael Gleicher, Naty Hoffman, Garrett Johnson,
Tamara Munzner, Erik Reinhard, Kelvin Sung, William B. Thompson, Peter Willemsen, Brian …

We present a new shape representation, the multi-level partition of unity implicit surface, that
allows us to construct surface models from very large sets of points. There are three key …

We introduce a robust moving least-squares technique for reconstructing a piecewise
smooth surface from a potentially noisy point cloud. We use techniques from robust statistics …

We introduce new techniques for modelling with interpolating implicit surfaces. This form of
implicit surface was first used for problems of surface reconstruction and shape …

Level set methods have become an attractive design tool in shape and topology
optimization for obtaining lighter and more efficient structures. In this paper, the popular …

This paper describes a method for building interpolating or approximating implicit surfaces
from polygonal data. The user can choose to generate a surface that exactly interpolates the …

We propose Parametric Gauss Reconstruction (PGR) for surface reconstruction from point
clouds without normals. Our insight builds on the Gauss formula in potential theory, which …