Circular Arc Reconstruction of Digital Contours with Chosen Hausdorff Error [chapter]

Bertrand Kerautret, Jacques-Olivier Lachaud, Thanh Phuong Nguyen
2011 Lecture Notes in Computer Science  
We address the problem of constructing an approximate continuous representation of a digital contour with guarantees on the Hausdorff error between the digital shape and its reconstruction. Instead of polygonalizing the contour, we propose to reconstruct the shape with circular arcs. To do so, we exploit the recent curvature estimators. From their curvature field, we introduce a new simple and efficient algorithm to approximate a digital shape with as few arcs as possible at a given scale,
more » ... fied by a maximal admissible Hausdorff distance. We show the potential of our reconstruction method with numerous experiments and we also compare our results with some recent promising approaches. Last, all these algorithms are available online for comparisons on arbitrary shapes.
doi:10.1007/978-3-642-19867-0_21 fatcat:hdahhhqu3rdn3inv5a7iytlhy4