Abstract
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.
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CITATION STYLE
Felsberg, M., & Sommer, G. (2001). Scale adaptive filtering derived from the laplace equation. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 2191, pp. 124–131). Springer Verlag. https://doi.org/10.1007/3-540-45404-7_17
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