Sufficient Propagation Euclidean Distance Transformation

A new Euclidean distance transformation (EDT) for binary images in ℤ n is introduced. We sequentialize the parallel method of Huang and Mitchell by restricting the propagation to sufficient propagation paths. Tests in ℤ 2 and in ℤ 3 show that the algorithm is significantly faster than other well known signed and unsigned EDTs. Combined with the method of Saito and Toriwaki, it also yields a fast parallel EDT.

[1]  Frank Y. Shih,et al.  A skeletonization algorithm by maxima tracking on Euclidean distance transform , 1995, Pattern Recognit..

[2]  Ingemar Ragnemalm Neighborhoods for distance transformations using ordered propagation , 1992, CVGIP Image Underst..

[3]  Carlo Arcelli,et al.  Shape features in distance transforms , 1993, Other Conferences.

[4]  Jun-ichiro Toriwaki,et al.  New algorithms for euclidean distance transformation of an n-dimensional digitized picture with applications , 1994, Pattern Recognit..

[5]  Fernand Klein,et al.  Euclidean distance transformations and model-guided image interpretation , 1987, Pattern Recognit. Lett..

[6]  Ingemar Ragnemalm,et al.  The Euclidean distance transform in arbitrary dimensions , 1992, Pattern Recognit. Lett..

[7]  P. Danielsson Euclidean distance mapping , 1980 .

[8]  Hinnik Eggers Parallel Euclidean distance transformations in Zng , 1996, Pattern Recognit. Lett..

[9]  David G. Kirkpatrick,et al.  Linear Time Euclidean Distance Algorithms , 1995, IEEE Trans. Pattern Anal. Mach. Intell..

[10]  Frederic Fol Leymarie,et al.  Fast raster scan distance propagation on the discrete rectangular lattice , 1992, CVGIP Image Underst..

[11]  Ling Chen,et al.  A Fast Algorithm for Euclidean Distance Maps of a 2-D Binary Image , 1994, Inf. Process. Lett..

[12]  Gabriele Lohmann A New Method of Extracting Closed Contours Using Maximal Discs , 1995, CAIP.

[13]  Gabriella Sanniti di Baja,et al.  Euclidean skeleton via centre-of-maximal-disc extraction , 1993, Image Vis. Comput..

[14]  G. Borgefors Distance transformations in arbitrary dimensions , 1984 .