Name
Abstract | ||
|---|---|---|
Let an image be distorted by a nonlinear transformationT, and then be restored back to its original by the inverse transformationT−1. Such a cycle conversion,T−1T, of digital images can be facilitated by the combination (CSIM) given in [6] using the splitting-shooting method and the splitting-integrating method forT andT−1 respectively. Since there is no need to solve nonlinear equations, CSIM has been widely applied to specific areas of image processing and pattern recognition, even those with complicated transformations, e.g., the harmonic transformation [12]; however, no strict error analysis has been provided so far. In this paper, a priori error estimates and convergence rates are derived for pixel greyness obtained from CSIM; also the analytical results are extended to the harmonic transformation. Numerical and graphical experiments are provided to support the theoretical analysis. |
Year | DOI | Venue |
|---|---|---|
1996 | 10.1007/BF02207696 | Numerical Algorithms |
Keywords | Field | DocType |
numerical integration,error analysis,harmonic transformation,finite element method,digital image,image transformation,65N15,65D30,68A45 | Convergence (routing),Mathematical optimization,Nonlinear system,A priori and a posteriori,Numerical integration,Image processing,Harmonic,Digital image,Pixel,Mathematics | Journal |
Volume | Issue | ISSN |
13 | 2 | 1017-1398 |
Citations | PageRank | References |
4 | 0.65 | 6 |
Authors | ||
1 | ||