Image Smoothing Using Parametric Relaxation

Li, C. H.; Lee, C. K.

doi:10.1006/gmip.1995.1016

Cited by 8 publications

(3 citation statements)

References 0 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…By the subjective methodology, a noisy image used for test and its smoothed images are illustrated. Thus, the performance of an algorithm is evaluated by human's common sense gained from very much sophisticated visual perception experience [2], [5], [12], [13], [14], [15], [16], [17], [18], [19], [21], [22], [24], [25], [26], [27], [30], [33], [35], [37], [38], [39], [41], [43], [49], [50]. In addition, there is an application-based methodology for performance evaluation while two aforementioned methodologies dominate performance evaluation of smoothing algorithms.…”

Section: Methodsmentioning

confidence: 99%

See 1 more Smart Citation

Adaptive smoothing via contextual and local discontinuities

Chen

2005

IEEE Trans. Pattern Anal. Machine Intell.

102

View full text Add to dashboard Cite

Abstract-A novel adaptive smoothing approach is proposed for noise removal and feature preservation where two distinct measures are simultaneously adopted to detect discontinuities in an image. Inhomogeneity underlying an image is employed as a multiscale measure to detect contextual discontinuities for feature preservation and control of the smoothing speed, while local spatial gradient is used for detection of variable local discontinuities during smoothing. Unlike previous adaptive smoothing approaches, two discontinuity measures are combined in our algorithm for synergy in preserving nontrivial features, which leads to a constrained anisotropic diffusion process that inhomogeneity offers intrinsic constraints for selective smoothing. Thanks to the use of intrinsic constraints, our smoothing scheme is insensitive to termination times and the resultant images in a wide range of iterations are applicable to achieve nearly identical results for various early vision tasks. Our algorithm is formally analyzed and related to anisotropic diffusion. Comparative results indicate that our algorithm yields favorable smoothing results, and its application in extraction of hydrographic objects demonstrates its usefulness as a tool for early vision.

show abstract

Section: Methodsmentioning

confidence: 99%

“…Adaptive smoothing is a class of typical nonlinear smoothing techniques that have been studied for many years [2], [5], [9], [10], [11], [12], [13], [14], [15]. The general idea underlying adaptive smoothing is to adapt pixel intensities to the local attributes of an image on the basis of discontinuity measures.…”

Section: Introductionmentioning

confidence: 99%

Adaptive smoothing via contextual and local discontinuities

Chen

2005

IEEE Trans. Pattern Anal. Machine Intell.

102

View full text Add to dashboard Cite

show abstract

“…The classic probabilistic relaxation scheme was derived from the seminal paper on object labelling algorithm by Rosenfeld et al (1976). The underlying mechanism of relaxation is to iteratively assign labels (meaningful values) to mutually constrained image objects until consistent labels are obtained, such as in edge relaxation (Sonka et al 1999;Deng and Lyengar 1996), image segmentation (Hansen and Higgins 1997), and image enhancement (Li and Lee 1995).…”

mentioning

confidence: 99%

Fuzziness index driven fuzzy relaxation algorithm and applications to image processing

Zhou

Gan

et al. 2008

Ann Oper Res

View full text Add to dashboard Cite

An improved fuzzy relaxation algorithm for image contrast enhancement is introduced, the relationship between the convergence regions and the parameters in the transformations defined by the algorithm is shown, which is essential to the successful application of this algorithm. Furthermore, in order to measure the quality of an enhanced image, an index of fuzziness is used in this paper to evaluate the performance of the fuzzy relaxation scheme. This extended index of fuzziness is used as a criterion for automatically stopping the fuzzy relaxation process. The analytical result is tested by experiments of image contrast enhancement.

show abstract