A Theory for Multiresolution Signal Decomposition: The Wavelet Representation
IEEE Transactions on Pattern Analysis and Machine Intelligence
Authenticating Edges Produced by Zero-Crossing Algorithms
IEEE Transactions on Pattern Analysis and Machine Intelligence
Scaling Theorems for Zero-Crossings
IEEE Transactions on Pattern Analysis and Machine Intelligence
Characterization of Signals from Multiscale Edges
IEEE Transactions on Pattern Analysis and Machine Intelligence
Scale-Based Detection of Corners of Planar Curves
IEEE Transactions on Pattern Analysis and Machine Intelligence
Scaling Theorems for Zero Crossings of Bandlimited Signals
IEEE Transactions on Pattern Analysis and Machine Intelligence
λτ-Space Representation of Images and Generalized Edge Detector
IEEE Transactions on Pattern Analysis and Machine Intelligence
The L/sub 2/-Polynomial Spline Pyramid
IEEE Transactions on Pattern Analysis and Machine Intelligence
Fast Implementation of Scale-Space by Interpolatory Subdivision Scheme
IEEE Transactions on Pattern Analysis and Machine Intelligence
IPMI '01 Proceedings of the 17th International Conference on Information Processing in Medical Imaging
A new general framework for shot boundary detection and key-frame extraction
Proceedings of the 7th ACM SIGMM international workshop on Multimedia information retrieval
Generalized scale: theory, algorithms, and application to image inhomogeneity correction
Computer Vision and Image Understanding
Distributed recursive learning for shape recognition through multiscale trees
Image and Vision Computing
Fast frequency estimation by zero crossings of differential spline wavelet transform
EURASIP Journal on Applied Signal Processing
Generalized scale: Theory, algorithms, and application to image inhomogeneity correction
Computer Vision and Image Understanding
International Journal of Computer Vision
Fast and accurate Gaussian derivatives based on B-splines
SSVM'07 Proceedings of the 1st international conference on Scale space and variational methods in computer vision
Review article: Edge and line oriented contour detection: State of the art
Image and Vision Computing
Automation of hessian-based tubularity measure response function in 3D biomedical images
Journal of Biomedical Imaging - Special issue on modern mathematics in biomedical imaging
Shot boundary detection based on SVM and TMRA
CIS'05 Proceedings of the 2005 international conference on Computational Intelligence and Security - Volume Part I
Skeleton representation of character based on multiscale approach
CIS'05 Proceedings of the 2005 international conference on Computational Intelligence and Security - Volume Part II
On filtering by means of generalized integral images: a review and applications
Multidimensional Systems and Signal Processing
B-spline scale-space of spline curves and surfaces
Computer-Aided Design
Multiscale approach for thinning ridges of fingerprint
IbPRIA'05 Proceedings of the Second Iberian conference on Pattern Recognition and Image Analysis - Volume Part II
Axial representation of character by using wavelet transform
FSKD'05 Proceedings of the Second international conference on Fuzzy Systems and Knowledge Discovery - Volume Part II
Efficient multiscale shape-based representation and retrieval
ICIAR'05 Proceedings of the Second international conference on Image Analysis and Recognition
Skeletonization of fingerprint based-on modulus minima of wavelet transform
SINOBIOMETRICS'04 Proceedings of the 5th Chinese conference on Advances in Biometric Person Authentication
Tensor scale: An analytic approach with efficient computation and applications
Computer Vision and Image Understanding
Multiscale Corner Detection in Planar Shapes
Journal of Mathematical Imaging and Vision
Full length article: Singular integrals, scale-space and wavelet transforms
Journal of Approximation Theory
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It is well-known that the linear scale-space theory in computer vision is mainly based on the Gaussian kernel. The purpose of the paper is to propose a scale-space theory based on B-spline kernels. Our aim is twofold. On one hand, we present a general framework and show how B-splines provide a flexible tool to design various scale-space representations: continuous scale-space, dyadic scale-space frame, and compact scale-space representation. In particular, we focus on the design of continuous scale-space and dyadic scale-space frame representation. A general algorithm is presented for fast implementation of continuous scale-space at rational scales. In the dyadic case, efficient frame algorithms are derived using B-spline techniques to analyze the geometry of an image. Moreover, the image can be synthesized from its multiscale local partial derivatives. Also, the relationship between several scale-space approaches is explored. In particular, the evolution of wavelet theory from traditional scale-space filtering can be well understood in terms of B-splines. On the other hand, the behavior of edge models, the properties of completeness, causality, and other properties in such a scale-space representation are examined in the framework of B-splines. It is shown that, besides the good properties inherited from the Gaussian kernel, the B-spline derived scale-space exhibits many advantages for modeling visual mechanism with regard to the efficiency, compactness, orientation feature, and parallel structure.