hxx/javascript-algorithms
1
0
Fork 0
mirror of https://github.moeyy.xyz/https://github.com/trekhleb/javascript-algorithms.git synced 2024-12-26 07:01:18 +08:00
Code Issues Packages Projects Releases Wiki Activity

Vectorize images for Levenshtein Distance.

Browse Source
This commit is contained in:
Oleksii Trekhleb 2018-09-20 16:25:46 +03:00
parent 40e48ddfb2
commit 45fb2a24be
1 changed files with 4 additions and 4 deletions
Show Stats Download Patch File Download Diff File Expand all files Collapse all files

8
src/algorithms/string/levenshtein-distance/README.md
View File

@ -62,7 +62,7 @@ is being calculated based on three previously possible transformations.
To explain this further let’s draw the following matrix:
![Levenshtein Matrix](https://cdn-images-1.medium.com/max/1600/1*2d46ug_PL5LfeqztckoYGw.jpeg)
![Levenshtein Matrix](https://cdn-images-1.medium.com/max/1600/1*aTunSUoy0BJyYBVn4tWGrA.png)
- Cell `(0:1)` contains red number 1. It means that we need 1 operation to
transform `M` to an empty string. And it is by deleting `M`. This is why this number is red.
@ -89,11 +89,11 @@ letters in `i`'s row and `j`'s column.
You may clearly see the recursive nature of the problem.
![Levenshtein Matrix](https://cdn-images-1.medium.com/max/2000/1*JdHQ5TeKiDlE-iKK1s_2vw.jpeg)
![Levenshtein Matrix](https://cdn-images-1.medium.com/max/1600/1*w8UB4DSvBnAK6mBXRGQDjw.png)
Let's draw a decision graph for this problem.
![Minimum Edit Distance Decision Graph](https://cdn-images-1.medium.com/max/1600/1*SGwYUpXH9H1xUeTvJk0e7Q.jpeg)
![Minimum Edit Distance Decision Graph](https://cdn-images-1.medium.com/max/1600/1*8jD0qvr5B9PwRFM_9z7q9A.png)
You may see a number of overlapping sub-problems on the picture that are marked
with red. Also there is no way to reduce the number of operations and make it
@ -106,7 +106,7 @@ bottom-up direction) is being applied here.
Applying this principle further we may solve more complicated cases like
with `Saturday → Sunday` transformation.
![Levenshtein distance](https://cdn-images-1.medium.com/max/1600/1*fPEHiImYLKxSTUhrGbYq3g.jpeg)
![Levenshtein distance](https://cdn-images-1.medium.com/max/1600/1*geMdmZcdU1bZbHIoh6KO3Q.png)
## References