# On solving 2D and 3D puzzles using curve matching

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318 citations

### Cites background from "On solving 2D and 3D puzzles using ..."

...…Objects by Geometric Matching I 2D jigsaw puzzles [Freeman and Gardner 1964, Goldberg et al. 2004] I 2D puzzles with arbitrary boundary curves [Kong and Kimia 2001, da Gama Leitão and Stolfi 2002] I 3D puzzles with fragments of rotational pots [Willis and Cooper 2004, Kampel and Sablatnig…...

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241 citations

### Cites background from "On solving 2D and 3D puzzles using ..."

...The shape-matching community has studied computational solutions to jigsaw puzzles extensively [12,19,23,30,40]....

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### Cites background from "On solving 2D and 3D puzzles using ..."

...Related problems include reconstructing archeological artifacts [8, 10, 11, 12, 13], mating surface patches of scanned objects [14], and even fitting a protein with known amino acid sequence to a 3D electron density map [19]....

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...Yet more possibilities include a string matching approach [3] or a dynamic programming energy minimization approach [8, 17]....

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##### References

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### "On solving 2D and 3D puzzles using ..." refers background in this paper

...From the local theory of curves in differential geometry [10], we know that two different curves parameterized by their arc length, have the same torsion and curvature function, (s) and (s), if and only if they are the same curves (up to a rigid motion, i....

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761 citations