TAILIEUCHUNG - The Essential Guide to Image Processing- P4

The Essential Guide to Image Processing- P4:We are in the middle of an exciting period of time in the field of image processing. Indeed, scarcely a week passes where we do not hear an announcement of some new technological breakthrough in the areas of digital computation and telecommunication. | 88 CHAPTER 4 Basic Binary Image Processing a b c d FIGURE Open and close filtering of the binary image cells. Open with a B SQUARE 25 b B SQUARE 81 Close with c B SQUARE 25 d B SQUARE 81 . close-open and open-close in and are general-purpose bi-directional size-preserving smoothers. Of course they may each be interpreted as a sequence of four basic morphological operations erosions and dilations . The close-open and open-close filters are quite similar but are not mathematically identical. Both remove too-small structures without affecting the size much. Both are powerful shape smoothers. However differences between the processing results can be easily seen. These mainly manifest as a function of the first operation performed in the processing sequence. One notable difference between close-open and open-close is that close-open often links together neighboring holes since erode is the first step while Binary Image Morphology 89 a b c d FIGURE Close-open and open-close filtering of the binary image cells. Close-open with a B SQUARE 25 b B SQUARE 81 Open-close with c B SQUARE 25 d B SQUARE 81 . open-close often links neighboring objects together since dilate is the first step . The differences are usually somewhat subtle yet often visible upon close inspection. Figure shows the result of applying the close-open and the open-close filters to the ongoing binary image example. As can be seen the results for B fixed are very similar although the close-open filtered results are somewhat cleaner as expected. There are also only small differences between the results obtained using the medium and larger windows because of the intense smoothing that is occurring. To fully appreciate the power of these smoothers it is worth comparing to the original binarized image cells in Fig. a . 90 CHAPTER 4 Basic Binary Image Processing The reader may wonder whether further sequencing of the filtered responses will produce different results. If the .

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