and Erosion 3843 TABLE 92 The various syntax forms of function s t r e l The

And erosion 3843 table 92 the various syntax forms of

This preview shows page 171 - 173 out of 302 pages.

and Erosion 3843 TABLE 9.2 The various syntax forms of function s t r e l . (The word flnt means that the structuring element has zero height. This is mt:aningful only for gray-scale dilation and erosion. See Section 9.6.1.)
Image of page 171
YIorphological Image Processing 9.2 k ? # Dilation The output of whos shows that s e and decomp are both strel objec further, that decomp is a four-element vector of strel objects.The four st "shrinks" or "thins" objects in a binary image. As in dilation, the man- ing elements in the decomposition can be examined individually by ind extent of shrinking is controlled by a structuring element. Figure 9.7 il- into decomp: the erosion process. Figure 9.7(a) is the same as Fig. 9.4(a). 7(b) is the structuring element, a short vertical line. Figure 9.7(c) 22 decomp (1 ) ly depicts erosion as a process of translating the structuring element ans = ut the domain of the image and checking to see where it fits entirely F l a t STREL o b j e c t containing 5 neighbors. 0 [I 0 ( 1 (1 9 0 0 (I li 0 0 0 0 I! 1 1 0 Neighborhood: II !i ii 0 o (I I! 11 o o o ii o ! I !I o (I 0 1 0 11 I1 (1 0 0 0 (I 11 0 0 0 [I 0 11 fj 0 (1 1 1 1 !) 0 f! 0 0 0 0 0 !J 0 0 0 0 (1 0 i! i! 0 1 0 0 0 0 0 0 O 0 0 111 11 0 0 0 0 11 !.I 0 0 ii !: 0 0 1 1 1 1 1 1 1 0 ii 0 0 11 1 >> decomp(2) 11 ( ! !) (1 o 1 1 1 1 1 1 1 II ii (! 0 (I Ik'i -. . 0 ii (1 il 0 1 1 1 1 1 1 1 0 !j i~ t i i! 1 ans = 0 0 0 I1 1 1 0 0 0 (j li 0 0 0 ('1 0 i t 0 0 ti 0 0 0 0 ij 0 0 1) (1 I) 0 ii I! 0 0 F l a t STREL o b j e c t containing 4 neighbors. 11 11 o o 0 II 11 I) {I (1 o i t ti o 0 !I Neighborhood: i t 11 (1 (1 o [I i! !I o o i) 11 (I r] o (1 0 1 0 !j 0 0 11 I! 0 0 il il t i t i 0 (1 i,! 11 !I !) 1 0 1 Output is zero in these locations because 0 1 0 the structuring element overlaps the >> decomp(3) ans = F l a t STREL o b j e c t containing 4 neighbors. Neighborhood: 0 0 1 0 0 0 0 0 0 0 1 0 0 0 1 0 0 0 0 0 0 0 1 0 0 >> decomp(4) ans = (> 0 i! II o (1 (I o \! II !I 0 o 0 1 1 11 o [I 11 0 11 i! !J 11 !I 0 (1 0 fl !I 0 I1 !I 0 F l a t STREL o b j e c t containing 4 neighbors. II 1 1 I! (j (I [I 11 11 ;I i j 0 ( 1 II II o o 11 0 0 !I 0 0 i) il 0 0 i! i) 0 !! 0 0 11 !) Neighborhood: (1 i) ( 1 11 !I !I (1 (I I ) II 11 i) (1 o !I II 11 0 1 0 0 ii ii 11 0 0 t l 0 !j 0 li 0 11 !I i! 1: 0 1 0 1 ii $ 1 ( 1 !J 0 1 1 1 1 1 1 1 0 O 0 11 0 1 0 ( 1 (1 I; () a ~ i !I (1 ( 1 0 ij 61 ii 11 0 11 0 !i 0 i) 11 1 1 11 0 0 0 !I il !I 0 0 0 I1 I1 i l 1; (j ii I 1 1) ;) 1) 0 [I ii il f) ij (I 11 I] ( 1 Function i m d i l a t e uses the decomposed form of a structuring element 1) ,I t i ij (J ij 11 ii t l 11 (I 11 1 1 il !I o (1 tomatically, performing dilation approximately three times faster ( s 611 I, 11 (; [ j i! (1 11 0 i! (1 (I [I !I II I) o t , ! than with the non-decomposed form. 0 (j 0 I 1 ( 1 (1 0 1.1 (1 i t li It (I 'I 11 I1 f ! and Erosion d, FIGURE 9.7 Illustration of erosion. (a) Original Image with rectangular object. (b) Structuring element with three pixels arranged In a vertlcal Ime. The origin of the structuring element 1s shown with a dark border. (c) Structuring element translated to several locations on the image.
Image of page 172
Image of page 173

You've reached the end of your free preview.

Want to read all 302 pages?

  • Left Quote Icon

    Student Picture

  • Left Quote Icon

    Student Picture

  • Left Quote Icon

    Student Picture

Stuck? We have tutors online 24/7 who can help you get unstuck.
A+ icon
Ask Expert Tutors You can ask You can ask You can ask (will expire )
Answers in as fast as 15 minutes