.png){kind=icon}
Return
Discrete multiresolution analysis using hermite interpolation: Biorthogonal multiwavelets
.png){kind=icon}
PRE
AI
DOI：10.1137/S1064827597315236.png)
.png){kind=icon}
Original request for help.png){kind=icon}
Share.png){kind=icon}
Save
Abstract
En 中文
We generalize Harten's interpolatory multiresolution representation to include Hermite interpolation. Compact Hermite interpolation with optimal order accuracy is used in both the decomposition and reconstruction algorithm. The resulting multiple basis functions (biorthogonal multiwavelets) are symmetric or skew-symmetric, compact, and analytic. Harten's approach has several advantages: the multiresolution scheme is inherently discrete, nonperiodic boundary conditions are easy to implement, and the representation can be extended to nonuniform grids in bounded domains. We demonstrate the compression features of the new multiple basis functions by application to several examples.
Keywords:
wavelets
multiwavelets
multiresolution
AI Summary
Key information extracted from the uploaded paper, including a brief overview, abstract, background, key highlights, visual analysis, and future outlook.
Journal
IF:
2.6
Papers:
5.1K
Citations:
1.8W
Organization
No organization information available
Cited Papers
ShareSaveShareSaveShareSaveShareSaveShareSaveOn the Reversible Photoisomerization of Spiropyran‐Modified Zeolite L Single Crystals.png)
ChemPhysChem
OAAI
ChemPhysChemIF0
OAAIShareSaveShareSave no more
no more