Date post: | 21-Dec-2015 |
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Che-Han Chang1, Yoichi Sato2, Yung-Yu Chuang1
1National Taiwan University 2The University of Tokyo
Shape-Preserving Half-Projective Warps for Image Stitching
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• Misalignment (overlapping regions)
• Geometric distortion (non-overlapping regions)– Stretched shapes shape distortion– Non-uniform scaling area distortion
Projective Warp
Misalignment
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• Misalignment (overlapping regions)
• Geometric distortion (non-overlapping regions)– Stretched shapes shape distortion– Non-uniform scaling area distortion
Projective Warp
Distortion
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As-Projective-As-Possible Warp
Projective Warp
Locally aligned
Distortion
Globally aligned
Distortion
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Key idea: Replacing it bya similarity transformation.
As-Projective-As-Possible Warp
(scaling, rotation, translation)
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Source
Projective warpSimilarity warp Our warp
We propose shape-preserving half-projective warp, a spatial combination of a projective transformation and a similarity transformation.
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GoalGiven a projective transformation, construct a warp that gradually changes from projective to similarity.
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C1C1
Given H, l1 and l2, determine S and T such that the resulting warp is C1 continuous.
C1 continuity on l1
Boundary constraints
C1 continuity on l2
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Given H, l1 and l2, determine S and T such that the resulting warp is C1 continuous.
C1 continuity on l1
Boundary constraints
C1 continuity on l2
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Given H, l1 and l2, determine S and T such that the resulting warp is C1 continuous.
C1 continuity on l1
Boundary constraints
C1 continuity on l2
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Optimizing parametersWe want that each image undergoes a similarity transformation as much as possible.
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• A novel parametric warp for image stitching• Parameter selection could be improved
Conclusion
Projective warpSimilarity warp Our warp