<XML><RECORDS><RECORD><REFERENCE_TYPE>0</REFERENCE_TYPE><REFNUM>8025</REFNUM><AUTHORS><AUTHOR>Ding,M.</AUTHOR><AUTHOR>Xiao,Y.</AUTHOR><AUTHOR>Peng,J.</AUTHOR><AUTHOR>Schomburg,D.</AUTHOR><AUTHOR>Krebs,B.</AUTHOR><AUTHOR>Wahl,F.M.</AUTHOR></AUTHORS><YEAR>2003</YEAR><TITLE>3D Reconstruction of Free-formed line-like Objects Using NURBS Representation</TITLE><PLACE_PUBLISHED>Pattern Recognition, Vol. 23. No. 6 </PLACE_PUBLISHED><PUBLISHER>Pergamon Press</PUBLISHER><PAGES>1255-1268</PAGES><LABEL>Ding:2003:8025</LABEL><KEYWORDS><KEYWORD>3D reconstruction; Free-formed objects; NURBS; Line-like objects</KEYWORD></KEYWORDS<ABSTRACT>3D reconstruction of arbitrary free-formed objects is an important and challenging problem in computer vision. In this paper, we first discuss the importance of primitive selection in 3D reconstruction. Subsequently, a theorem, which reveals the perspective invariance of NURBS, is shown, making it a good choice as primitive in 3D reconstruction. Consequently, based on this theorem a new paradigm of free-formed line-like object reconstruction using NURBS as primitives is proposed. Furthermore, an approach for determining weights for 3D NURBS is presented, and the width effect of curved line-like objects is analyzed. Finally, experiments with line-like objects and machine part demonstrate the feasibility of our approach and prove the superiority of our approach over the point- or segment-based approaches as well as the B-spline-based reconstruction approach in terms of robustness and accuracy. </ABSTRACT></RECORD></RECORDS></XML>