New Complexity Bounds for Image Matching under Rotation and Scaling
CPM '09 Proceedings of the 20th Annual Symposium on Combinatorial Pattern Matching
Theoretical Computer Science
Efficient indexing algorithms for one-dimensional discretely-scaled strings
Information Processing Letters
Affine image matching is uniform TC0-complete
CPM'10 Proceedings of the 21st annual conference on Combinatorial pattern matching
New complexity bounds for image matching under rotation and scaling
Journal of Discrete Algorithms
A new efficient indexing algorithm for one-dimensional real scaled patterns
Journal of Computer and System Sciences
Efficient two-dimensional pattern matching with scaling and rotation and higher-order interpolation
CPM'12 Proceedings of the 23rd Annual conference on Combinatorial Pattern Matching
Combinatorial structure of rigid transformations in 2D digital images
Computer Vision and Image Understanding
Hi-index | 0.00 |
Scaled Matching refers to the problem of finding all locations in the text where the pattern, proportionally enlarged according to an arbitrary real-sized scale, appears. Scaled matching is an important problem that was originally inspired by Computer Vision. Finding a combinatorial definition that captures the concept of real scaling in discrete images has been a challenge in the pattern matching field. No definition existed that captured the concept of real scaling in discrete images, without assuming an underlying continuous signal, as done in the image processing field. We present a combinatorial definition for real scaled matching that scales images in a pleasing natural manner. We also present efficient algorithms for real scaled matching. The running times of our algorithms are as follows. For T, a two-dimensional n×n text array, and P, an m×m pattern array, we find in T all occurrences of P scaled to any real value in time O(nm 3+n 2 mlog m).