"Convexity" of sets of lines

Pattern Recognition Letters

Volumn 19, Issue 13, 1998, Pages 1199-1205

  Bhattacharya, Prabir ^a   Rosenfeld, Azriel ^b  

^a UNIVERSITY OF NEBRASKA LINCOLN   (United States)

^b UNIVERSITY OF MARYLAND   (United States)

Author keywords

Convexity; Hough space; Incidence; Sets of lines

Indexed keywords

COMPUTATIONAL GEOMETRY;

CONVEXITY; HOUGH SPACE; SETS OF LINES;

PATTERN RECOGNITION;

EID: 0032207707     PISSN: 01678655     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0167-8655(98)00098-1     Document Type: Article

References (6)

1. Goodman, J.E., 1998. When is a set of lines in space convex? Notices of the American Mathematical Society 45 (2), 222-232.
2. Goodman, J.E., Pollack, R., 1995. Foundations of a theory of convexity on affine Grassmann manifolds. Mathematika 42, 305-328.
3. Roberts, K.S., 1988. A new representation for a line. In: Proceedings of the IEEE Computer Society Conference on Computer Vision and Pattern Recognition, June 1988, pp. 635-640.
4. Rosenfeld, A., 1995. "Geometric properties" of sets of lines. Pattern Recognition Letters 16, 549-556.
5. Rosenfeld, A., Kak, A., 1982. Digital Picture Processing, 2nd ed. Academic Press, New York.
6. Wenger, R., 1997. Helly-type theorems and geometric transversals. In: Goodman, J.E., O'Rourke, J. (Eds.), Handbook of Discrete and Computational Geometry. CRC Press, Boca Raton, FL, pp. 63-82.