(If you were referring to a specific technical acronym for a coding library or engineering term, please let me know, and I will adjust the guide accordingly.)
Define a function between matches ( i ) and ( j ): [ S(i,j) = \mathbbI\left( |r_A,i - r_A,j| < \tau_r \right) \cdot \mathbbI\left( |\theta_A,i - \theta_A,j - \Delta\theta_ij| < \tau_\theta \right) ] where ( \Delta\theta_ij = \theta_B,i - \theta_B,j ) is the angular difference in image B. (If you were referring to a specific technical
PacDV isn't just a repository; it has a personality. The articles are written in a distinct style: they often present absurd scenarios or "serious" advice on ridiculous topics. *GPU time reported, not directly comparable
*GPU time reported, not directly comparable. Radial distances are unchanged.
A match is classified as an inlier if: [ \textvote(i) > \alpha \cdot \textmedian(\textvote) ] where ( \alpha ) is a hyperparameter (default 1.5). Optionally, we apply a non-maximum suppression in polar-angle space to avoid duplicate voting from dense keypoints.
SuperGlue and LoFTR achieve state-of-the-art performance but require GPU and extensive training data. PACDV requires no training and runs efficiently on CPU.
Proof Sketch: Let ( R ) be a rotation of image A by ( \phi ). Then ( \theta_A,i \rightarrow \theta_A,i + \phi ). Similarly, if the same rotation is applied to image B, ( \theta_B,i \rightarrow \theta_B,i + \phi ). The difference ( \theta_B,i - \theta_B,j ) remains unchanged, and ( |\theta_A,i - \theta_A,j - (\theta_B,i - \theta_B,j)| ) is invariant. Radial distances are unchanged.