A fast algorithm for general raster rotation
Proceedings on Graphics Interface '86/Vision Interface '86
The Design and Use of Steerable Filters
IEEE Transactions on Pattern Analysis and Machine Intelligence
A lie group approach to steerable filters
Pattern Recognition Letters
Image representation and compression with steered Hermite transforms
Signal Processing
Three-dimensional rotations by three shears
Graphical Models and Image Processing
A New Metric for Grey-Scale Image Comparison
International Journal of Computer Vision
The mathematics of computerized tomography
The mathematics of computerized tomography
Phase congruence measurement for image similarity assessment
Pattern Recognition Letters
A fast hermite transform with applications to protein structure determination
Proceedings of the 2007 international workshop on Symbolic-numeric computation
The hermite transform: a survey
EURASIP Journal on Applied Signal Processing
Theoretical Computer Science
Design of steerable filters for feature detection using canny-like criteria
IEEE Transactions on Pattern Analysis and Machine Intelligence
Local orientation analysis in images by means of the Hermite transform
IEEE Transactions on Image Processing
Two- and three-dimensional image rotation using the FFT
IEEE Transactions on Image Processing
Approximate orientation steerability based on angular Gaussians
IEEE Transactions on Image Processing
Interconversion Between Truncated Cartesian and Polar Expansions of Images
IEEE Transactions on Image Processing
Convolution-based interpolation for fast, high-quality rotation of images
IEEE Transactions on Image Processing
Time-frequency analysis of signals using support adaptive Hermite-Gaussian expansions
Digital Signal Processing
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In this paper, we propose an approach for the accurate rotation of a digital image using Hermite expansions. This exploits the fact that if a 2-D continuous bandlimited Hermite expansion is rotated, the resulting function can be expressed as a Hermite expansion with the same bandlimit. Furthermore, the Hermite coefficients of the initial 2-D expansion and the rotated expansion are mapped through an invertible linear relationship. Two efficient methods to compute the mapping between Hermite coefficients during rotation are proposed. We also propose a method for connecting the Hermite expansion and a discrete image. Using this method, we can obtain the Hermite expansion from a discrete image and vice versa. Combining these techniques, we propose new methods for the rotation of discrete images. We assess the accuracy of our methods and compare them with an existing FFT-based method implementing three shears. We find that the method proposed here consistently has better accuracy than the FFT-based method.