Abstract
Industrial Geometry aims at unifying existing and developing new methods and algorithms for a variety of application areas with a strong geometric component. These include CAD, CAM, Geometric Modeling, Robotics, Computer Vision and Image Processing, Computer Graphics and Scientific Visualization. The methods are mainly taken from classical geometry, computational geometry, CAGD and various branches of applied and industrial mathematics. In this paper, Industrial Geometry is illustrated via the fruitful interplay of the areas indicated above in the context of novel solutions of CAD related, geometric optimization problems: approximation with general NURBS curves and surfaces, approximation with special surfaces for applications in architecture and manufacturing, and registration problems for industrial inspection and 3D model generation from measurement data.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 513-522 |
| Number of pages | 10 |
| Journal | Computer-Aided Design and Applications |
| Volume | 1 |
| Issue number | 1-4 |
| DOIs | |
| State | Published - 2004 |
| Externally published | Yes |
Bibliographical note
Funding Information:Part of this research has been carried out within the Competence Center Advanced Computer Vision and has been funded by the Kplus program. This work was also supported by the Austrian Science Fund under grant P16002-N05 and by the innovative project ‘3D Technology’ of Vienna University of Technology.
Keywords
- Active contours
- Curve/surface fitting
- Distance function
- Optimization
- Registration
ASJC Scopus subject areas
- Computational Mechanics
- Computer Graphics and Computer-Aided Design
- Computational Mathematics