电子科发女学光电科学与工程学院 SCHOOL OF OPTOELECTRONIC SCIENCE AND ENGINEERING OF UESTC 1.Erosion Operations d 40B=(B).4) d/4 d a4 B 0 AOB A d/8 3d/4 d/8 AeB={aH(B).nA=⑦} d/4 d/2 d ☑=Empty set d/2 AB A=object to be eroded B 3d/4 d/8 d/8 B=structuring element ★Erosion means trim” FIGURE 9.4 (a)Set A.(b)Square structuring element,B.(c)Erosion of A by B,shown shaded.(d)Elongated structuring element.(e)Erosion of A by B using this element. The dotted border in(c)and (e)is the boundary of set A,shown only for reference
1. Erosion Operations A = object to be eroded B = structuring element ★ Erosion means “trim” A B = z(B)z A ( ) C z A B z B A = = = Empty set
电子件枝女学光电科学与工程学院 SCHOOL OF OPTOELECTRONIC SCIENCE AND ENGINEERING OF UESTC 1.Erosion Operations SE Original image (A) Intersect pixel Center pixel
Original image (A) Intersect pixel Center pixel SE 1. Erosion Operations
电子科线女学光电科学与工程学院 SCHOOL OF OPTOELECTRONIC SCIENCE AND ENGINEERING OF UESTC 1.Erosion Operations Result of Erosion Boundary of the "center pixels" where B is inside A
Result of Erosion Boundary of the “center pixels” where B is inside A 1. Erosion Operations
电子科线女学光电科学与工程学院 SCHOOL OF OPTOELECTRONIC SCIENCE AND ENGINEERING OF UESTC 1.Erosion Operations g例题①： 01010 A= 01 0 00 A⊙B= 00 i00 0A0110
例题①： 0 1 0 1 0 0 1 1 0 1 0 1 1 1 0 A = 1 0 1 1 B = A B = 0 0 1 1 0 0 0 1 0 0 0 0 0 0 0 1. Erosion Operations
电子科线女学光电科学与工程学院 SCHOOL OF OPTOELECTRONIC SCIENCE AND ENGINEERING OF UESTC Example:Application of Erosion ab cd FIGURE 9.5 Using erosion to remove image compo- nents.(a)A 486×486 binary image of a wire- bond mask (b)-(d)Image eroded using square structuring elements of sizes 11×11,15×15, and45×45. respectively.The elements of the SEs were all 1s
Example: Application of Erosion