A multiscale method for the reassembly of two-dimensional fragmented objects

IEEE Transactions on Pattern Analysis and Machine Intelligence - Tập 24 Số 9 - Trang 1239-1251 - 2002
H.C. da Gama Leitao1, J. Stolfi2
1Institute of Computing, Fluminense Federal University, Niteroi, Rio de Janeiro, Brazil
2Institute of Computing, State University of Campinas-UNICAMP, Sao Paulo, Brazil

Tóm tắt

We describe an efficient procedure for reassembling unknown two-dimensional objects that have been broken or torn into a large number of irregular fragments, a problem that often arises in archaeology, art restoration, forensics, and other disciplines. The procedure compares the curvature-encoded fragment outlines, at progressively increasing scales of resolution, using an incremental dynamic programming sequence-matching algorithm. The total cost gets reduced by a factor proportional to the mean number of samples per segment, which makes the method viable for problems of practical size (thousands of fragments). The performance of our method is illustrated with an artificial but realistic example.

Từ khóa

#Art #Forensics #Dynamic programming #Heuristic algorithms #Costs

Tài liệu tham khảo

10.1109/34.149591 10.1109/34.391387 10.1109/34.615444 pope, 1994, Model Based Object Recognition: A Survey of Recent Research 10.1016/0031-3203(93)90177-X 10.1109/21.120080 10.1109/70.88097 leit�o, 2000, Information Contents of Fracture Lines, Proc WSCG '2000Eighth Int'l Conf in Central Europe on Computer Graphics etc, 2, 389 10.1109/38.909015 levoy, 1999, Scanning the Fragments of the Forma Urbis Romae 10.1177/027836498600500403 legault, 1997, Optimal Local Weighted Averaging Methods in Contour Smoothing, IEEE Trans Pattern Analysis and Machine Intelligence, 19, 801, 10.1109/34.608276 leit�o, 2001, A Multiscale Technique for Computer Assisted Reassembly of Fragmented Objects setubal, 1997, Introduction to Computational Molecular Biology 10.1016/0076-6879(92)10029-D bunke, 1993, Jigsaw Puzzle Solving Using Approximate String Matching and Best-First Search, Proc Fifth Int'l Conf Computer Analysis of Images and Patterns (CAIP '93), 299, 10.1007/3-540-57233-3_40 10.1145/321796.321811 menard, 1997, On Finding Archaeological Fragment Assemblies Using a Bottom-Up Design, Proc 21st Workshop Austrian Assoc for Pattern Recognition, 203 leit�o, 1999, Reconstru��o Autom�tica de Objetos Fragmentados leit�o, 1998, Automatic Reassembly of Irregular Fragments 10.1109/VISUAL.1996.568132 boussofiane, 1993, A New Method for Recognizing and Locating Objects by Searching Longest Paths, IEEE Trans Pattern Analysis and Machine Intelligence, 15, 445 hal�r, 1997, Estimation of Profiles of Sherds of Archaeological Pottery, Proc 1997 Czech Pattern Recognition Workshop (CPRW '97), 126 leutwyler, 2002, Solving a Digital Jigsaw Puzzle winfield smith, 1970, Computer Helps Scholars Recreate an Egyptian Temple, National Geographic Magazine, 138, 644 10.1145/192161.192241 10.1016/0734-189X(89)90090-X 10.1016/0031-3203(93)90144-L 10.1109/34.55108 10.1109/CVPR.1999.784718 ��oluk, 1999, Automatic Reconstruction of Broken 3-D Surface Objects, Computers & Graphics, 23, 573, 10.1016/S0097-8493(99)00075-8 hori, 2000, Hierarchical Description of a Contour for Reconstruction of Broken Earthenware, The Trans Electronics Information and Comm Engineers D-II, 1392 hori, 2000, Data Model for Computer Reconstruction of Potsherds, J Computer Archaeology, 5, 1 witkin, 1983, Scale-Space Filtering, Proc Eighth Int'l Joint Conf Artificial Intelligence (IJCAI '83), 1019