View by Category

Loading...

PPT – Morphological Image Processing PowerPoint presentation | free to download - id: 9fc1d-ZGE1N

The Adobe Flash plugin is needed to view this content

About This Presentation

Write a Comment

User Comments (0)

Transcript and Presenter's Notes

Morphological Image Processing

Morphology

- Morphology
- The branch of biology that deals with the form

and structure of organisms without consideration

of function - Mathematical Morphology
- Mathematical tool for processing shapes in image,

including boundaries, skeletons, convex hulls,

etc. - Use of set theoretical approach

Set Theory Definitions and Notations

- SET (?)
- A collection of objects (elements)
- membership (?)
- If ? is an element (member) of a set ?, we write

? ? ? - Subset (?)
- Let A, B are two sets. If for every a ? A, we

also have a ? B, then the set A is a subset of B,

that is, A ? B - If A ? B and B ? A, then A B.
- Empty set (?)

- Complement set
- If A ? ?, then its complement set Ac ? ? ? ?,

and ??A - Union (?)
- A ?B ? ? ?A or ? ?B
- Intersection (?)
- A ? B ? ? ?A and ? ?B
- Set difference (-)
- B\A B ?Ac
- Note that B-A ?A-B
- Disjoint sets
- A and B are disjoint (mutually exclusive) if A ?

B ?

Set Relations

Translation and Reflection

- Translation (A)z c c a z, for a ?A
- Reflection

Logic Operations Between Binary Images

Dilation and Erosion

- Dilation
- B structure element
- Erosion
- A ? B z (B)z ? A
- Relations
- (A ? B)c

Example of Dilation

Example of Erosion

Opening

A ? B (A ? B) ? B

Closing

A ? B (A ? B) ? B

Example Opening Closing

Finger Print Processing using Opening and Closing

Hit-or-Miss Transformation for shape detection

(e)

(d)

Figure 9.12 (a) Set A, (b) A window W and the

local Background of X w.r.t. W, W-X. (c) Ac. (d)

A?X

Intersection of (d) and (e) shows the location of

the origin of X, as desired.

Hit-or-Miss Transform

- Denote B1 object, B2 local background of B1,

then, - or
- Reason to have a local background
- Two or more objects are distinct only if they

form disjoint (disconnected) sets. This is

guaranteed by requiring that each object have at

least a one-pixel-thick background around it.

Hit-or-Miss Transform

- Previous example does not contain dont care

entries. - In structure element
- 1 foreground
- 0 background
- X dont care
- Output is 1 if exact match of both foreground and

background pixels.

- Hitnmiss.m
- 1 foreground
- -1 background
- 0 dont care

Hitnmiss.m

Morphological Boundary Extraction

?(A) A - (A ? B) (9.5-1)

Example of Boundary Extraction

Region Filling

Fig915.m

Region Filling Example

Connected Component Extraction

- Y connected component in set A,
- p a known point in Y

Fig915.m

Thinning

Thinning is often accomplished using a sequence

of rotated structuring elements (a). Given a set

A (b), results of thinning with first element is

shown in (c), and the next 7 elements (d) (i).

There is no change between 7th and 8th elements,

and no change after first 3 elements. Then it

converges to a m-connectivity.

Fig921.m

Thickening

A?B A ?hitnmiss(A,B) A?B (((A?B1) ?B2)

?Bn) Thickening is the dual of thinning

operation. Usually, thickening a set A is

accomplished by thinning Ac, and then complement

the result. Then a post-processing prunning

process is applied to remove disconnected points

as shown to the left.

Skeleton

- A skeleton of a set A consists of points z that

is the center of a maximum disk - A maximum disk is a circle in A that can not be

enclosed by another circle that is also in A. - Figure 9.23. (a) set A, (b), (c) sets of possible

maximum disks. (d) dotted line is the skeleton.

Skeleton Equations

- Define k consecutive erosions of A as
- A?kB ( (A?B)?B)? )?B) (9.5-13)
- Sk(A) (A?kB) - (A?kB)?B

(9.5-12) - Let K maxk (A?kB) ?? (9.5-14)
- Then the skeleton can be found as

Illustration of Skeleton Computation

Figure 9.24 Implementation of eq.

(9.5-11)-(9.5-15). The original set is at the top

left and its morphological skeleton is at the

bottom of the 4th column. The reconstructed set

is at the bottom of the 6th column. Define k

consecutive erosions of A as A?kB ( (A?B)?B)?

)?B) (9.5-13) Sk(A) (A?kB) - (A?kB)?B

(9.5-12) Let K maxk (A?kB) ??

(9.5-14) Then the skeleton can be found

as

Pruning

About PowerShow.com

PowerShow.com is a leading presentation/slideshow sharing website. Whether your application is business, how-to, education, medicine, school, church, sales, marketing, online training or just for fun, PowerShow.com is a great resource. And, best of all, most of its cool features are free and easy to use.

You can use PowerShow.com to find and download example online PowerPoint ppt presentations on just about any topic you can imagine so you can learn how to improve your own slides and presentations for free. Or use it to find and download high-quality how-to PowerPoint ppt presentations with illustrated or animated slides that will teach you how to do something new, also for free. Or use it to upload your own PowerPoint slides so you can share them with your teachers, class, students, bosses, employees, customers, potential investors or the world. Or use it to create really cool photo slideshows - with 2D and 3D transitions, animation, and your choice of music - that you can share with your Facebook friends or Google+ circles. That's all free as well!

For a small fee you can get the industry's best online privacy or publicly promote your presentations and slide shows with top rankings. But aside from that it's free. We'll even convert your presentations and slide shows into the universal Flash format with all their original multimedia glory, including animation, 2D and 3D transition effects, embedded music or other audio, or even video embedded in slides. All for free. Most of the presentations and slideshows on PowerShow.com are free to view, many are even free to download. (You can choose whether to allow people to download your original PowerPoint presentations and photo slideshows for a fee or free or not at all.) Check out PowerShow.com today - for FREE. There is truly something for everyone!

You can use PowerShow.com to find and download example online PowerPoint ppt presentations on just about any topic you can imagine so you can learn how to improve your own slides and presentations for free. Or use it to find and download high-quality how-to PowerPoint ppt presentations with illustrated or animated slides that will teach you how to do something new, also for free. Or use it to upload your own PowerPoint slides so you can share them with your teachers, class, students, bosses, employees, customers, potential investors or the world. Or use it to create really cool photo slideshows - with 2D and 3D transitions, animation, and your choice of music - that you can share with your Facebook friends or Google+ circles. That's all free as well!

For a small fee you can get the industry's best online privacy or publicly promote your presentations and slide shows with top rankings. But aside from that it's free. We'll even convert your presentations and slide shows into the universal Flash format with all their original multimedia glory, including animation, 2D and 3D transition effects, embedded music or other audio, or even video embedded in slides. All for free. Most of the presentations and slideshows on PowerShow.com are free to view, many are even free to download. (You can choose whether to allow people to download your original PowerPoint presentations and photo slideshows for a fee or free or not at all.) Check out PowerShow.com today - for FREE. There is truly something for everyone!

presentations for free. Or use it to find and download high-quality how-to PowerPoint ppt presentations with illustrated or animated slides that will teach you how to do something new, also for free. Or use it to upload your own PowerPoint slides so you can share them with your teachers, class, students, bosses, employees, customers, potential investors or the world. Or use it to create really cool photo slideshows - with 2D and 3D transitions, animation, and your choice of music - that you can share with your Facebook friends or Google+ circles. That's all free as well!

For a small fee you can get the industry's best online privacy or publicly promote your presentations and slide shows with top rankings. But aside from that it's free. We'll even convert your presentations and slide shows into the universal Flash format with all their original multimedia glory, including animation, 2D and 3D transition effects, embedded music or other audio, or even video embedded in slides. All for free. Most of the presentations and slideshows on PowerShow.com are free to view, many are even free to download. (You can choose whether to allow people to download your original PowerPoint presentations and photo slideshows for a fee or free or not at all.) Check out PowerShow.com today - for FREE. There is truly something for everyone!

For a small fee you can get the industry's best online privacy or publicly promote your presentations and slide shows with top rankings. But aside from that it's free. We'll even convert your presentations and slide shows into the universal Flash format with all their original multimedia glory, including animation, 2D and 3D transition effects, embedded music or other audio, or even video embedded in slides. All for free. Most of the presentations and slideshows on PowerShow.com are free to view, many are even free to download. (You can choose whether to allow people to download your original PowerPoint presentations and photo slideshows for a fee or free or not at all.) Check out PowerShow.com today - for FREE. There is truly something for everyone!

Recommended

«

/ »

Page of

«

/ »

Promoted Presentations

Related Presentations

Page of

Home About Us Terms and Conditions Privacy Policy Contact Us Send Us Feedback

Copyright 2018 CrystalGraphics, Inc. — All rights Reserved. PowerShow.com is a trademark of CrystalGraphics, Inc.

Copyright 2018 CrystalGraphics, Inc. — All rights Reserved. PowerShow.com is a trademark of CrystalGraphics, Inc.

The PowerPoint PPT presentation: "Morphological Image Processing" is the property of its rightful owner.

Do you have PowerPoint slides to share? If so, share your PPT presentation slides online with PowerShow.com. It's FREE!

Committed to assisting Wisc University and other schools with their online training by sharing educational presentations for free