Line geometry for 3D shape understanding and reconstruction

Abstract:

We understand and reconstruct special surfaces from 3D data with line geometry methods. Based on estimated surface normals we use approximation techniques in line space to recognize and reconstruct rotational, helical, developable and other surfaces, which are characterized by the configuration of locally intersecting surface normals. For the computational solution we use a modified version of the Klein model of line space. Obvious applications of these methods lie in Reverse Engineering. We have tested our algorithms on real world data obtained from objects as antique pottery, gear wheels, and a surface of the ankle joint.

Bibtex:

@incollection{pottmann-2004-lg3d,
	author = {H. Pottmann and M. Hofer and B. Odehnal and J. Wallner},
	title = {Line geometry for 3{D} shape understanding and reconstruction},
	year = {2004},
	editor = "T. Pajdla and J. Matas",
	booktitle = "Computer Vision --- ECCV 2004, Part I",
	series = "Lecture Notes in Computer Science",
	publisher = "Springer",
	volume = 3021,
	pages = "297--309",
	isbn="3-540-21984-6",

}