J. Weickert, Scale-space properties of nonlinear diusion ltering with a diusion tensor, Report No. 110, Laboratory of Technomathematics, University of Kaiserslautern, P.O. Box 3049, 67653 Kaiserslautern, Germany, 1994.  Home/Search   Document Not in Database   Summary   Related Articles   Check

....paper we present and evaluate a novel algorithm for coherence enhancing anisotropic di usion ltering. This scale space and image restoration technique has been introduced in [40] for the enhancement of ow like textures with linelike structures. It combines ideas of nonlinear di usion ltering [31, 11,39] with # 2 WEICKERT AND SCHARR orientation analysis by means of the so called structure tensor (second moment matrix, scatter matrix) 9, 16,23,26,34] The basic idea is to smooth a degraded original image by applying a nonlinear di usion process whose di usion tensor allows anisotropic ....

.... di usion methods have demonstrated their usefulness for enhancing ngerprint images [40] for restoring old copper plates [14] for computer aided quality control [40] and medical imaging [6, 45] They have been applied to three dimensional microscopy images [18] to the enhancementof corners [35,39], ridges and valleys [38] and they haveeven been used for designing novel shock capturing algorithms for hyperbolic conservation laws [19] They create image simplifying scale space transformations in any dimension [44] and they can be extended to colour images [43,28] Since ....

J. Weickert, Scale-space properties of nonlinear diusion ltering with a diusion tensor, Report No. 110, Laboratory of Technomathematics, University of Kaiserslautern, P.O. Box 3049, 67653 Kaiserslautern, Germany, 1994.

....the approach is ow driven, one can also expect fewer oversegmentation problems at textured structures than for image driven regularizers. How can one construct such optic ow methods Let us rst have a look at di usion ltering of multichannel images. In the nonlinear anisotropic case, Weickert [55, 58] and Kimmel et al. 27] proposed to lter a multichannel image by using a joint di usion tensor that depends on the gradients of all image channels. Our goal is thus to nd an optic ow regularizer that leads to a coupled di usion reaction system where the same ux dependent di usion tensor D(ru 1 ....

J. Weickert, Scale-space properties of nonlinear diusion ltering with a diusion tensor, Report No. 110, Laboratory of Technomathematics, University of Kaiserslautern, P.O. Box 3049, 67653 Kaiserslautern, Germany, 1994.

....paper we present and evaluate a novel algorithm for coherence enhancing anisotropic di usion ltering. This scale space and image restoration technique has been introduced in [40] for the enhancement of ow like textures with line like structures. It combines ideas of nonlinear di usion ltering [31, 11, 39] with orientation analysis by 1 means of the so called structure tensor (second moment matrix, scatter matrix) 9, 16, 23, 26, 34] The basic idea is to smooth a degraded original image by applying a nonlinear di usion process whose di usion tensor allows anisotropic smoothing by acting mainly ....

.... di usion methods have demonstrated their usefulness for enhancing ngerprint images [40] for restoring old copper plates [14] for computer aided quality control [40] and medical imaging [6, 45] They have been applied to three dimensional microscopy images [18] to the enhancement of corners [35, 39], ridges and valleys [38] and they have even been used for designing novel shock capturing algorithms for hyperbolic conservation laws [19] They create image simplifying scalespace transformations in any dimension [44] and they can be extended to colour images [43, 28] Since ....

J. Weickert, Scale-space properties of nonlinear diusion ltering with a diusion tensor, Report No. 110, Laboratory of Technomathematics, University of Kaiserslautern, P.O. Box 3049, 67653 Kaiserslautern, Germany, 1994.

....with a di usion tensor instead of a scalar valued di usivity o er advantages for images with noisy edges or interrupted structures [55] How can one construct related optic ow methods Let us rst have a look at di usion ltering of multichannel images. In the nonlinear anisotropic case, Weickert [52, 55] and Kimmel et al. 26] proposed to lter a multichannel image by using a joint di usion tensor that depends on the gradients of all image channels. Our goal is thus to nd an optic ow regularizer that leads to a coupled di usion reaction system where the same ux dependent di usion tensor D(ru 1 ....

J. Weickert, Scale-space properties of nonlinear diusion ltering with a diusion tensor, Report No. 110, Laboratory of Technomathematics, University of Kaiserslautern, P.O. Box 3049, 67653 Kaiserslautern, Germany, 1994.

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