Transcription of Automatic Solution of Jigsaw Puzzles
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Automatic Solution of Jigsaw Puzzles
Automatic Solution of Jigsaw PuzzlesDaniel J. Hoff1 Peter J. Olver1 Department of MathematicsSchool of MathematicsUniversity of California, San DiegoUniversity of MinnesotaLa Jolla, CA92093 Minneapolis, olverAbstractWe present a method for automatically solving apictorial Jigsaw Puzzles that is basedon an extension of the method of differential invariant signatures. Our algorithmsare designed to solve challenging Puzzles , without having to impose any restrictiveassumptions on the shape of the puzzle, the shapes of the individual pieces, or theirintrinsic arrangement. As a demonstration, the method was successfully used to solvetwo commercially available Puzzles . Finally we perform some preliminary investigationsinto scalability of the algorithm for even larger : Jigsaw puzzle, curvature, Euclidean signature, bivertex arc, piece fitting, piece this paper, we present a new algorithm for the Automatic Solution of apictorial jigsawpuzzles, meaning that there is no design or picture and the Solution requires matching onlythe shapes of the individual pieces, cf.
assumptions on the shape of the puzzle, the shapes of the individual pieces, or their intrinsic arrangement. As a demonstration, the method was successfully used to solve ... which are then presented to the computer in the form of JPEG digital images. ... arcs, as de ned below, thereby readily allowing one to compare parts of piece boundaries ...
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