A unified scheme for detecting fundamental curves in binary edge images

Tetsuo Asano, Naoki Katoh, Takeshi Tokuyama

研究成果: Article査読

2 被引用数 (Scopus)


We present a unified scheme for detecting digital components of various planar curves in a binary edge image. A digital component of a curve is the set of input edge points from each of which the horizontal or vertical distance to the curve is at most 0.5. Our algorithm outputs all curve components containing at least k points (k is a given threshold) in O(nd) time (if d≥2) and linear space, where n is the number of points, and d is a measure that reflects the complexity of a family of curves; for example, d=2,3 and 5 for lines, circles and ellipses, respectively. For most of the popular families of curves, our only primitive operations are algebraic operations of bounded degree and comparisons. We also propose an approximate algorithm for computing an approximation solution with error ratio ε=1-α (called an α-sensitive solution), whose time complexity is O((t/ε)d-1n), which is very efficient if the threshold-ratio t=n/k is small.

ジャーナルComputational Geometry: Theory and Applications
出版ステータスPublished - 2001 3

ASJC Scopus subject areas

  • コンピュータ サイエンスの応用
  • 幾何学とトポロジー
  • 制御と最適化
  • 計算理論と計算数学
  • 計算数学


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