Name
Title | ||
|---|---|---|
The Monogenic Scale-Space: A Unifying Approach to Phase-Based Image Processing in Scale-Space |
Abstract | ||
|---|---|---|
In this paper we address the topics of scale-space and phase-based image processing in a unifying framework. In contrast to the common opinion, the Gaussian kernel is not the unique choice for a linear scale-space. Instead, we chose the Poisson kernel since it is closely related to the monogenic signal, a 2D generalization of the analytic signal, where the Riesz transform replaces the Hilbert transform. The Riesz transform itself yields the flux of the Poisson scale-space and the combination of flux and scale-space, the monogenic scale-space, provides the local features phase-vector and attenuation in scale-space. Under certain assumptions, the latter two again form a monogenic scale-space which gives deeper insight to low-level image processing. In particular, we discuss edge detection by a new approach to phase congruency and its relation to amplitude based methods, reconstruction from local amplitude and local phase, and the evaluation of the local frequency. |
Year | DOI | Venue |
|---|---|---|
2004 | 10.1023/B:JMIV.0000026554.79537.35 | Journal of Mathematical Imaging and Vision |
Keywords | Field | DocType |
Poisson kernel,scale-space,local phase,analytic signal,Riesz transform,monogenic signal | Mathematical optimization,Analytic signal,Edge detection,Image processing,Scale space,Hilbert transform,Poisson kernel,Gaussian function,Riesz transform,Mathematics | Journal |
Volume | Issue | ISSN |
21 | 1 | 1573-7683 |
Citations | PageRank | References |
86 | 3.38 | 19 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Michael Felsberg | 1 | 2419 | 130.29 |
| Gerald Sommer | 2 | 269 | 21.93 |