This book is intended primarily as a textbook for second-year undergraduate students in
mathematics, mathematical physics, and engineering. The book is designed as a first …

A distance field is a representation where, at each point within the field, we know the
distance from that point to the closest point on any object within the domain. In addition to …

We introduce, analyze and quantitatively compare a number of surface simplification
methods for point-sampled geometry. We have implemented incremental and hierarchical …

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 …

This paper describes a new method for contouring a signed grid whose edges are tagged by
Hermite data (ie; exact intersection points and normals). This method avoids the need to …

This work provides an architecture to enable robotic grasp planning via shape completion.
Shape completion is accomplished through the use of a 3D convolutional neural network …

A survey of the development of the marching cubes algorithm [W. Lorensen, H. Cline,
Marching cubes: a high resolution 3D surface construction algorithm. Computer Graphics …

We present a new technique for extracting line‐type features on point‐sampled geometry.
Given an unstructuredpoint cloud as input, our method first applies principal component …

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 …

Particle shape plays an important role in determining the engineering behaviour of granular
materials. In this regard, characterisation and quantification of particle shape are essential …