منابع مشابه
No Easy Puzzles: A Hardness Result for Jigsaw Puzzles
We show that solving jigsaw puzzles requires Θ(n ) edge matching comparisons, making them as hard as their trivial upper bound. This result generalises to puzzles of all shapes, and is applicable to both pictorial and apictorial puzzles.
متن کاملSolving Jigsaw Puzzles using Paths and Cycles
There has been a growing interest in image jigsaw puzzles with square shaped pieces. A solver takes as input square shaped patches of the same size belonging to an image and attempts to reconstruct the image. The key components of a jigsaw solver are a compatibility metric and an assembly algorithm. A compatibility metric uses the color content of the image patches to identify which pairs of pi...
متن کاملShotgun Assembly of Random Jigsaw Puzzles
In a recent work, Mossel and Ross considered the shotgun assembly problem for a random jigsaw puzzle. Their model consists of a puzzle an n×n grid, where each vertex is viewed as a center of a piece. They assume that each of the four edges adjacent to a vertex, is assigned one of q colors (corresponding to ”jigs”, or cut shapes) uniformly at random. Mossel and Ross asked: how large should q = q...
متن کاملUnique reconstruction threshold for random jigsaw puzzles
A random jigsaw puzzle is constructed by arranging n2 square pieces into an n× n grid and assigning to each edge of a piece one of q available colours uniformly at random, with the restriction that touching edges receive the same colour. We show that if q = o(n) then with high probability such a puzzle does not have a unique solution, while if q ≥ n1+ε for any constant ε > 0 then the solution i...
متن کاملBuilding programmable jigsaw puzzles with RNA.
One challenge in supramolecular chemistry is the design of versatile, self-assembling building blocks to attain total control of arrangement of matter at a molecular level. We have achieved reliable prediction and design of the three-dimensional structure of artificial RNA building blocks to generate molecular jigsaw puzzle units called tectosquares. They can be programmed with control over the...
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ژورنال
عنوان ژورنال: New Theatre Quarterly
سال: 2009
ISSN: 0266-464X,1474-0613
DOI: 10.1017/s0266464x09000578