Evidential Image Matching: Predicting Transformation Sequences to Derive one Image from Another

Daniil Dorin^{1 📧}, Kseniia Varlamova¹, Andrey Grabovoy¹

¹ Antiplagiat Company, Moscow, Russia

^📧 Corresponding author

Poblem Statement

Given the dataset:

$$ D = {(\mathbf{I}^1_i, \mathbf{I}^2_i, t_{i} | i=1, \ldots, N)}, \quad \mathbf{I}^1_i, \mathbf{I}^2_i \in \mathbb{R}_{+}^{H \times W \times C}, \quad \mathbf{t}_i \in \mathcal{T}^*, $$

where $\mathcal{T}^*$ is the set of all finite sequences of elements from $\mathcal{T}$. $\mathcal{T}$ is a finite set of transformations. The goal is to construct a mapping:

$$ \mathbf{f}: \quad R_{+}^{H \times W \times C} \times \mathbb{R}_{+}^{H \times W \times C} \rightarrow \mathcal{T}^*. $$