Rights Contact Login For More Details
- Wiley
More About This Title Geometric and Topological Mesh Feature Extractionfor 3D Shape Analysis
English
Shapes, either from the natural world or man-made, are more and more digitized for visualization or measurement purposes, among others. This process results in general in 3D surface meshes, composed of collections of planar polygons. Such meshes nowadays are the most common discrete representation of the surface of a virtual shape. These 3D surface meshes are automatically, or sometimes interactively, examined, in order their overall structure or some details to be understood or evaluated. This can be done by extracting relevant geometric or topological features. Such shape characteristics can simplify the way the object is looked at, can help recognition, and can describe and categorize it according to specific criteria.
This book deals with feature definition and computation on a 3D surface mesh, and their use for shape analysis. Recent methods are described to extract feature lines having a meaning related not only to geometry but to topology as well. Differential estimators like discrete principal curvatures are detailed as they play a critical role for the computation of salient structures. Several applications are developed, and each of them needs specific adjustments to generic approaches. These applications are related to geology, planetary science, paleo-anthropology, astrophysics, medicine, and forestry.
English
2 - Overview of what is called a "feature"
3 - Geometric features based on curvatures
Some reminders of differential geometry of surfaces
Feature lines detection approaches
Region-based approaches
Point-based approaches
4 - Topological features
Mathematical background
Global topological features computation
Combining geometrical and topological features
Topological persistence
5 - Applications
6 - Conclusion
