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

UR - http://www.scopus.com/inward/citedby.url?scp=84947791985&partnerID=8YFLogxK

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 -