N. Merlet et J. Zerubia, NEW PROSPECTS IN-LINE DETECTION BY DYNAMIC-PROGRAMMING, IEEE transactions on pattern analysis and machine intelligence, 18(4), 1996, pp. 426-431
The detection of lines in satellite images has drawn a lot of attentio
n within the last 15 years. Problems of resolution, noise, and image u
nderstanding are involved, and one of the best methods developed so fa
r is the F algorithm of Fischler, which achieves robustness, rightnes
s, and rapidity. Like other methods of dynamic programming, it consist
s of defining a cost which depends on local information; then a summat
ion-minimization process in the image is performed. We present herein
a mathematical formalization of the F algorithm, which allows us to e
xtend the cost both to cliques of more than two points (to deal with t
he contrast), and to neighborhoods of size larger than one (to take in
to account the curvature). Thus, all the needed information (contrast,
grey-level, curvature) is synthesized in a unique cost function defin
ed on the digital original image. This cost is used to detect roads an
d valleys in satellite images (SPOT).