A new class of morphological pyramids for multiresolution image analysis
| Autor: | Roerdink, Jos B.T.M., Asano, T, Klette, R, Ronse, C |
|---|---|
| Přispěvatelé: | Scientific Visualization and Computer Graphics, Intelligent Systems |
| Jazyk: | angličtina |
| Rok vydání: | 2003 |
| Předmět: | |
| Zdroj: | GEOMETRY, MORPHOLOGY AND COMPUTATIONAL IMAGING, 165-175 STARTPAGE=165;ENDPAGE=175;TITLE=GEOMETRY, MORPHOLOGY AND COMPUTATIONAL IMAGING |
| Popis: | We study nonlinear multiresolution signal decomposition based on morphological pyramids. Motivated by a problem arising in multiresolution volume visualization, we introduce a new class of morphological pyramids. In this class the pyramidal synthesis operator always has the same form, i.e. a dilation by a structuring element A, preceded by upsampling, while the pyramidal analysis operator is a certain operator R(n)A indexed by an integer n, followed by downsampling. For n = 0, R(n)A equals the erosion εA with structuring element A, whereas for n > 0, R(n)A equals the erosion εA followed by n conditional dilations, which for n → ∞ is the opening by reconstruction. The resulting pair of analysis and synthesis operators is shown to satisfy the pyramid condition for all n. The corresponding pyramids for n = 0 and n = 1 are known as the adjunction pyramid and Sun-Maragos pyramid, respectively. Experiments are performed to study the approximation quality of the pyramids as a function of the number of iterations n of the conditional dilation operator. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
|