2024年5月2日发(作者：)
loco-i算法的c语言代码
## English Answer:
Introduction to the LoCo-i Algorithm.
The LoCo-i algorithm, short for "Localization and
Coarse Registration of Images," is a robust and efficient
image registration technique widely used in computer vision
and medical imaging applications. It was developed by
Evangelia Petsa, Elias Tolias, and Petros Maragos in 2006.
Principle of Operation.
The LoCo-i algorithm operates in two main stages:
1. Image Transformation: Each image is transformed into
a coordinate frame where one image is fixed and the other
is allowed to move.
2. Iterative Registration: An iterative optimization
process is applied to estimate the transformation
parameters that best align the two images.
Mathematical Formulation.
Let I1 and I2 be the two images to be registered. The
transformation parameters are represented by a 2D affine
transformation matrix T:
T = [a b tx; c d ty; 0 0 1]
where (a, b, c, d) are the rotation and scaling
parameters, and (tx, ty) are the translation parameters.
The LoCo-i algorithm seeks to minimize the following
objective function:
f(T) = σ(I1(T(x)) I2(x))。
where σ is a similarity measure (e.g., mean squared
error or cross-correlation) and x represents the pixel
coordinates.
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