TY - JOUR
T1 - Industrial Geometry
T2 - Recent Advances and Applications in CAD
AU - Pottmann, Helmut
AU - Leopoldseder, Stefan
AU - Hofer, Michael
AU - Wang, Wenping
N1 - 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.
PY - 2004
Y1 - 2004
N2 - 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.
AB - 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.
KW - Active contours
KW - Curve/surface fitting
KW - Distance function
KW - Optimization
KW - Registration
UR - http://www.scopus.com/inward/record.url?scp=33645555731&partnerID=8YFLogxK
U2 - 10.1080/16864360.2004.10738294
DO - 10.1080/16864360.2004.10738294
M3 - Article
AN - SCOPUS:33645555731
SN - 1686-4360
VL - 1
SP - 513
EP - 522
JO - Computer-Aided Design and Applications
JF - Computer-Aided Design and Applications
IS - 1-4
ER -