Scale-Space and Edge Detection Using Anisotropic Diffusion
IEEE Transactions on Pattern Analysis and Machine Intelligence
Scale-Space Theory in Computer Vision
Scale-Space Theory in Computer Vision
Linear Scale-Space has First been Proposed in Japan
Journal of Mathematical Imaging and Vision
The Multidimensional Isotropic Generalization of Quadrature Filters in Geometric Algebra
AFPAC '00 Proceedings of the Second International Workshop on Algebraic Frames for the Perception-Action Cycle
A New Extension of Linear Signal Processing for Estimating Local Properties and Detecting Features
Mustererkennung 2000, 22. DAGM-Symposium
A general framework for low level vision
IEEE Transactions on Image Processing
Image Features Based on a New Approach to 2D Rotation Invariant Quadrature Filters
ECCV '02 Proceedings of the 7th European Conference on Computer Vision-Part I
DSSCV'05 Proceedings of the First international conference on Deep Structure, Singularities, and Computer Vision
Scale-Space'05 Proceedings of the 5th international conference on Scale Space and PDE Methods in Computer Vision
Regularity and scale-space properties of fractional high order linear filtering
Scale-Space'05 Proceedings of the 5th international conference on Scale Space and PDE Methods in Computer Vision
On α kernels, Lévy processes, and natural image statistics
Scale-Space'05 Proceedings of the 5th international conference on Scale Space and PDE Methods in Computer Vision
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In this paper, we present a new approach to scale-space which is derived from the 3D Laplace equation instead of the heat equation. The resulting lowpass and bandpass filters are discussed and they are related to the monogenic signal. As an application, we present a scale adaptive filtering which is used for denoising images. The adaptivity is based on the local energy of spherical quadrature filters and can also be used for sparse representation of images.