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Perspective Transformation using Line Detector and Optimization

Thien Do-Tieu

Overview

This is the Python implementation of paper for perspective transformation. By using line detector, this approach creates a loss function which contains information of tilt angle of vertical and horizontal lines, and an optimization algorithm tries to minimize loss value, simultaneously update rotate angles in perspective matrix. In this implementation, I used Gradient Descent instead of Levenberg–Marquardt algorithm

Installation

Install line detector package for python 3

pip install pylsd
pip install ocrd-fork-pylsd

Result

Image after rendering

First result

The result after cropping

First result

Reference

Rectification of planar targets using line segments

Perspective transform opencv

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perspective-transformation's Issues

Test images from the paper.

Hello Thien Do-Tieu, thanks for your code, very impressive!
But when I try to test the images from the paper, the results are quite strange. As shown below:

Left: input   Right: output (before crop)
5 out4
test9out9
I'm not sure if you have found this and do you know how to solve it? Thanks!

Btw, personally I think line136 of rectification.py should be:
w = (u1[0] / u1[2] - v1[0] / v1[2]) ** 2 + (u1[1] / u1[2] - v1[1] / v1[2]) ** 2
(just based on my personal understanding of Equations 14 and 15 in the paper. so forgive me if I misunderstood it.)
But after I changing this line, it almost have no influence to the results.

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