TY - GEN
T1 - A unified scheme for detecting fundamental curves in binary edge images
AU - Asano, Tetsuo
AU - Katoh, Naoki
AU - Tokuyama, Takeshi
PY - 1994/1/1
Y1 - 1994/1/1
N2 - We present a unified scheme for detecting digital components of various planar curves in a binary edge image. We introduce a measure d to reflect the complexity of a family of curves. For instance, d = 2, 3, and 5 for lines, circles, and ellipses, respectively. Our algorithm outputs all eligible curve components (a component is eligible if its size is at least a threshold k) in O(nd) time and linear space, where n is the number of points. Our only primitive operations are algebraic operations of bounded degrees and comparisons. We also propose an approximate algorithm with α-perfectness, which runs in (Formula presented) time and outputs (Formula presented) curves.
AB - We present a unified scheme for detecting digital components of various planar curves in a binary edge image. We introduce a measure d to reflect the complexity of a family of curves. For instance, d = 2, 3, and 5 for lines, circles, and ellipses, respectively. Our algorithm outputs all eligible curve components (a component is eligible if its size is at least a threshold k) in O(nd) time and linear space, where n is the number of points. Our only primitive operations are algebraic operations of bounded degrees and comparisons. We also propose an approximate algorithm with α-perfectness, which runs in (Formula presented) time and outputs (Formula presented) curves.
UR - http://www.scopus.com/inward/record.url?scp=84947791985&partnerID=8YFLogxK
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M3 - Conference contribution
AN - SCOPUS:84947791985
SN - 9783540584346
T3 - Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
SP - 215
EP - 226
BT - Algorithms - ESA'94 - 2nd Annual European Symposium, Proceedings
A2 - van Leeuwen, Jan
PB - Springer-Verlag
T2 - 2nd Annual European Symposium on Algorithms, ESA 1994
Y2 - 26 September 1994 through 28 September 1994
ER -