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Puzzle Solver. Sravan Bhagavatula EE 638 Project Stanford ECE. Overview. Purpose of Project High Level Implementation Scale Invariant Feature Transform Explanation of Algorithm Results Future Work. Purpose of Project. Solving a jigsaw Finding placements
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Puzzle Solver SravanBhagavatula EE 638 Project Stanford ECE
Overview • Purpose of Project • High Level Implementation • Scale Invariant Feature Transform • Explanation of Algorithm • Results • Future Work
Purpose of Project • Solving a jigsaw • Finding placements • Based on locations in original picture
High-level Implementation • Needs two inputs • Pieces • Original Image • Outputs • Numbered pieces • Original with placements
Scale Invariant Feature Transform • Object Recognition technique (David Lowe) • Rotation / orientation change was a problem • Features obtained similar to neuron responses in inferior temporal cortex (for primate vision) Object Recognition from Local Scale-Invariant Features, D. G. Lowe, International Conference on Computer Vision, Corfu, Greece, Sept. 1999.
Scale Invariant Feature Transform • KeypointLocations • Defined as extrema of a difference-of-Gaussian function applied in scale space • Local Image Description • Robust descriptor to local affine distortion
Scale Invariant Feature Transform • Computationally efficient – one second/image order of 1000 features • Occlusions • Tested very well for rotation / scale changes • Chosen for invariance
Explanation of Algorithm P – Image of pieces S – Image of complete picture • Find the keypoints in P and S with vl_sift • Output a modified P, with piece labels • Use kmeans() to cluster the keypoints in each piece • Take a small number of points per cluster • Around 20 – 30. • Compare these keypoints with ones in S • 2-norm comparison of the SIFT keypoint descriptors
Explanation of Algorithm – Cont. • Find locations in S of matches • These basically count as the location of each piece • Classify each region of matches into clusters • I.E., choose a “central point” to designate as the label of the region • Output a modified version of S using these cluster labels • One that has the same labels as the one in P, such that similar pieces are in the right locations
Future Work • Background of pieces needs to be uniform • Additional step to make the background uniform? • Try out orientation, lighting changes • Clustering without numPieces • Test it on much larger puzzles (~1000 piece, perhaps) • Computation time • Solve without the solution image • Much harder, more than just feature matching