Special Issue on Advanced Three-Dimensional Digital Geometry Processing

Geometry processing is a software technology that facilitates the appropriate and efficient conversion and processing of digital geometric data, including sampled points, curves, surfaces, images, and volumetric data, based on the intended application. It is a versatile technology and is increasingly adopted in diverse fields that rely on digital technologies and for the popularization of digital transition. Geometry processing is based on a robust and extensive mathematical framework that has been extensively investigated. As the scope of potential applications expands, the practical applications of these theories have increased accordingly. Geometry processing is currently employed for shape acquisition, analysis, design, and inspection in various fields, such as manufacturing, social infrastructure, medicine, natural science, and art. As the range of applications expands, several issues have emerged that require further investigation, such as increasing the accuracy and managing large-scale data. The objective of this special issue is to provide new insights into geometric-processing capabilities. This issue comprises five papers that present novel aspects of this technology and two comprehensive reviews pertaining to aesthetic curves and related topics, as well as the applications of X-ray computed tomography (CT) in manufacturing. The papers included in this issue are as follows: Aesthetic curves and related geometries Object recognition from laser-scanned point cloud CAD data compression via wavelet transform Application of structure-from-motion Image analysis using Delaunay graphs Surface extraction from X-ray CT scan data Automation of manufacturing using X-ray CT scanning The data types and methods used for geometry processing are diverse and depend on the scenarios. In this issue, we present a diverse range of studies pertaining to geometry processing that encompasses both fundamental concepts and applied studies. We are grateful to all the contributors, reviewers, and editorial staff for their dedication and support in realizing this issue.