Line feature extraction

The crest lines

• Mathematical definitions of crest lines [Porteous, 1987,Koenderink, 1990,Hosaka, 1992,Anoshkina et al., 1995,Monga and Benayoun, 1995,Thirion and Gourdon, 1995,van den Elsen et al., 1995,Bruce et al., 1996,Eberly, 1996,Kent et al., 1996,Lang, 1997]. Review of all the definitions [Belyaev et al., 1996,Subsol, 1998].

• "Marching Lines" algorithm [Thirion and Gourdon, 1996].

• Example of crest lines: engine, skull, brain, heart ventricle) [Subsol, 1995], skull mandible [Andresen et al., 1998].

Anatomical validity

• Definition of "ridge lines" on the skull [Bookstein and Cutting, 1988,Cutting, 1991] and on the brain [Dean et al., 1996].

• Template of "ridge lines" extracted under the supervision of an anatomist: skull [Cutting et al., 1993,Dean et al., 1995] and brain ventricles [Dean et al., 1996].

• Comparison of crest lines and ridge lines on the skull [Subsol, 1995,Subsol et al., 1998] and on the brain [Subsol, 1998].

• Anatomical justification of using high curvature features on the brain [Griffin, 1994,Joshi et al., 1995,Davatzikos et al., 1996,Collins et al., 1996].

• Sulci atlas [Ono et al., 1990,Damasio, 1995].

How to improve the crest lines?

• Curvature thresholding [Subsol, 1995,Subsol et al., 1998].

• Multi-scale extraction of crest lines: a simple scheme [Subsol, 1995,Subsol, 1998] or a sophisticated method [Fidrich, 1998].

• Extraction of curves on the brain by dynamic programming [Khaneja et al., 1998].

Other types of line feature

• Extremal mesh: [Thirion, 1996b].

• Lines of curvature: [Vemuri and Malladi, 1993,Maekawa et al., 1996].

• Geodesics [Bookstein and Cutting, 1988,Cutting et al., 1993].

• Other lines defined by differential geometry: [Hosaka, 1992,Bruce et al., 1996].

• Lines extracted by digital topology methods: anatomical justification on the skull of the Medial Axis Transform [Bookstein and Cutting, 1988], extraction on the brain based on skeletonization [Mangin et al., 1995a,Royackkers et al., 1995,Fernández-Vidal and Malandain, 1996,Manceaux-Demiau et al., 1997,Lohmann and von Cramon, 1998], extraction on the brain based on Voronoï tesselation [Székely et al., 1992,Näf et al., 1997].

• Links between differential geometry and digital topology methods [Belyaev et al., 1996,Sherbrooke et al., 1996].

• Skeletal curves: [Verroust and Lazarus, 1997].