1995
DOI: 10.1117/12.205467
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<title>Invariance of edges and corners under mean-curvature diffusions of images</title>

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Cited by 14 publications
(9 citation statements)
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“…Using this lter, denoted the corner preserving lter (CPF), more iterations are allowed (yielding more noise reduction) while still maintaining perceptual transparency. 8 Ten CPF iterations results in more than 10 dB of noise reduction in the at portions of the image (as can been seen in Table 1), while introducing no perceptible changes | as long as the PSNR of the original image is at least 46 dB, which implies that the noise is not perceptible. However, the performance of the coder is substantially improved, as discussed below.…”
Section: Anisotropic DI Usionmentioning
confidence: 87%
“…Using this lter, denoted the corner preserving lter (CPF), more iterations are allowed (yielding more noise reduction) while still maintaining perceptual transparency. 8 Ten CPF iterations results in more than 10 dB of noise reduction in the at portions of the image (as can been seen in Table 1), while introducing no perceptible changes | as long as the PSNR of the original image is at least 46 dB, which implies that the noise is not perceptible. However, the performance of the coder is substantially improved, as discussed below.…”
Section: Anisotropic DI Usionmentioning
confidence: 87%
“…(4) In our approach to inhomogeneous diffusion, the diffusion coefficient is the inverse of the surface gradient magnitude, i.e., 1 (5) In terms of nnii normal vector field on a neighborhood of p and we obtain =V.N=+=2H (7) at ax1 3x2 where the mean curvanre H is the average value of the normal curvature in any two orthogonal directions. (4) In our approach to inhomogeneous diffusion, the diffusion coefficient is the inverse of the surface gradient magnitude, i.e., 1 (5) In terms of nnii normal vector field on a neighborhood of p and we obtain =V.N=+=2H (7) at ax1 3x2 where the mean curvanre H is the average value of the normal curvature in any two orthogonal directions.…”
Section: Mean Curvature Diffusion (Mcd)mentioning
confidence: 98%
“…This characteristic may allow only a very small compression in order to maintain acceptable image quality. One approach to a better control of image quality, is to pre-process the image in an adaptive fashion so as to introduce imperceptible or controlled degradations to the image 12,14]. In previous work using this approach, an e ective perceptually transparent coder was designed 6].…”
Section: Introductionmentioning
confidence: 99%
“…The key to making such an alternative approach to image coding possible is the use of methods that provide the necessary local control of image degradation. One recently developed technique, based on inhomogeneous diffusion 12,14], does so e ectively.…”
Section: Introductionmentioning
confidence: 99%