數(shù)字圖像處理mathematicalmorphology-資料下載頁(yè)
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【正文】 Until PX ?0ckk ABXX ??? ? )( 11?? kk XXImportant Results X X X X1 2 1 2? ? ?? ?( ) ( )Increasing Operator + !!)( BXBXX BB??? ?????Translation Invariant Operator ? ?( ) = [ ( )]X Xh hMain Idea – Examine the geometrical structure of an image by matching it with small patterns at various locations. – By varying the size and shape of the matching patterns, called structuring elements, one can extract useful information about the shape of the different parts of the image and their interrelations. – Results in image operators which are well suited for the analysis of the geometrical and topological structure of an image. Question What about grayscale images ? Greyscale Erosion ? ? ?? ? ?( ) = ( ) ( )F F F F1 2 1 2? ?“ LINEARITY” MINIMUM ))()(())(())(( hBhxFxBFxF h ??????? ?? ?? ?? ?? ?( ( )) = [ ( )] ( )( ( ) ) = [ ( )] ( )F x h F x hF x v F x v? ?? ?TRANSLATION INVARIANCE Grayscale Dilation [ ( )]( ) = ( ) [ ( ) ( )]? ? F x F B x F h B x hh? ? ? ??? ? ?? ? ?( ) = ( ) ( )F F F F1 2 1 2? ?“ LINEARITY” MAXIMUM ? ?? ?? ?? ?( ( )) = [ ( )]( )( ( ) ) = [ ( )]( )F x h F x hF x v F x v? ?? ?TRANSLATION INVARIANCE Grayscale Dilation amp。 Erosion Grayscale Opening amp。 Closing Greyscale Opening Structuring Element Grayscale Morphology ORIGINAL EROSION DILATION OPENING Remark )())(( hFxBFxBh ????Flat Erosion ???????oth e rw i se,fo r,0)(BxxBFlat Dilation )())(( hFxBFxBh ????An Application Target Detection DATA MARKER OPENING MORPHOLOGICAL RECONSTRUCTION Targets An Application: Target Detection MORPHOLOGICAL RECONSTRUCTION MARKER CLOSING DATA An Application: Target Detection THRESHOLDING DATA FINAL RESULT Correctly detected targets Incorrectly detected target
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