Simple Algorithms and Architectures for B-spline Interpolation
IEEE Transactions on Pattern Analysis and Machine Intelligence
Two-dimensional spline interpolation for image reconstruction
Pattern Recognition
Digital image processing
Multiresolution compression and reconstruction
VIS '97 Proceedings of the 8th conference on Visualization '97
The L/sub 2/-Polynomial Spline Pyramid
IEEE Transactions on Pattern Analysis and Machine Intelligence
Bivariate splines on hexagonal lattice for digital image processing
Journal of Computational and Applied Mathematics - Selected papers of the international symposium on applied mathematics, August 2000, Dalian, China
Non-uniform sampling for improved appearance-based models
Pattern Recognition Letters
An Adaptive Image Interpolation Using the Quadratic Spline Interpolator
IWVF-4 Proceedings of the 4th International Workshop on Visual Form
Image Sequence Analysis of Satellite NO2 Concentration Maps
Proceedings of the 23rd DAGM-Symposium on Pattern Recognition
Tracking and MAP Reconstruction of line scratches in degraded motion pictures
Machine Vision and Applications - Special issue: IEEE WACV
Recognition by Symmetry Derivatives and the Generalized Structure Tensor
IEEE Transactions on Pattern Analysis and Machine Intelligence
Choquet integrals as projection operators for quantified tomographic reconstruction
Fuzzy Sets and Systems
Continuous time domain properties of causal cubic splines
Signal Processing
An adaptive fuzzy-inference-rule-based flexible model for automatic elastic image registration
IEEE Transactions on Fuzzy Systems
On the impact of up-sampling method for super-resolution image reconstruction
CGIM '08 Proceedings of the Tenth IASTED International Conference on Computer Graphics and Imaging
Distance map based enhancement for interpolated images
Proceedings of the 11th international conference on Theoretical foundations of computer vision
Basic morphological operations, band-limited images and sampling
Scale Space'03 Proceedings of the 4th international conference on Scale space methods in computer vision
Need for speed: fast Stockwell transform (FST) with O(N) complexity
ICICS'09 Proceedings of the 7th international conference on Information, communications and signal processing
Regularized multilevel B-spline registration: application to cardiac motion estimation
ISBI'10 Proceedings of the 2010 IEEE international conference on Biomedical imaging: from nano to Macro
Efficient dyadic wavelet transformation of images using interpolation filters
ICASSP'93 Proceedings of the 1993 IEEE international conference on Acoustics, speech, and signal processing: image and multidimensional signal processing - Volume V
Image interpolation using adaptive fast B-spline filtering
ICASSP'93 Proceedings of the 1993 IEEE international conference on Acoustics, speech, and signal processing: image and multidimensional signal processing - Volume V
Comparison of cardiac motion fields from tagged and untagged MR images using nonrigid registration
FIMH'05 Proceedings of the Third international conference on Functional Imaging and Modeling of the Heart
Splines interpolation in high resolution satellite imagery
ISVC'05 Proceedings of the First international conference on Advances in Visual Computing
Fast single image super-resolution by self-trained filtering
ICIC'11 Proceedings of the 7th international conference on Advanced Intelligent Computing Theories and Applications: with aspects of artificial intelligence
Nonlinear L1C1 interpolation: application to Images
Proceedings of the 7th international conference on Curves and Surfaces
Research on Interpolation Methods in Medical Image Processing
Journal of Medical Systems
Eulerian polynomials and B-splines
Journal of Computational and Applied Mathematics
A difference engine for image reconstruction
EGGH'93 Proceedings of the Eighth Eurographics conference on Graphics Hardware
| Hi-index | 0.15 |
Efficient algorithms for the continuous representation of a discrete signal in terms of B-splines (direct B-spline transform) and for interpolative signal reconstruction (indirect B-spline transform) with an expansion factor m are described. Expressions for the z-transforms of the sampled B-spline functions are determined and a convolution property of these kernels is established. It is shown that both the direct and indirect spline transforms involve linear operators that are space invariant and are implemented efficiently by linear filtering. Fast computational algorithms based on the recursive implementations of these filters are proposed. A B-spline interpolator can also be characterized in terms of its transfer function and its global impulse response (cardinal spline of order n). The case of the cubic spline is treated in greater detail. The present approach is compared with previous methods that are reexamined from a critical point of view. It is concluded that B-spline interpolation correctly applied does not result in a loss of image resolution and that this type of interpolation can be performed in a very efficient manner.