approach while allowing the wide adaption.]{}

Methods {#methods .unnumbered}
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Notations {#notations .unnumbered}
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Let $\mathcal{M}$ be the T2 weighted (T2w) MRI image, $\mathcal{M}:\mathcal{R}^3 \rightarrow \mathcal{R}$ and has a matrix size $K \times L \times M$, where $K$, $L$ and $M$ represent the width, height and number of slices of the axial T2w MRI. Let $\mathcal{H}$ be the stack of histopathology slices, $\mathcal{H}:\mathcal{R}^3\rightarrow\mathcal{R}^3$, obtained by stacking 2D histopathology slices, $\mathcal{H}_i:\mathcal{R}^2\rightarrow\mathcal{R}^3$. The histopathology images are colored images, with Red, Green and Blue channels. The volume $\mathcal{H}$ has $W\times H\times D$ voxels with three components corresponding to the Red, Green and Blue channels, where $D \in [3,9]$ represents the number of slices, while $W$ and $H$ are the width and height of the histopathology images. The index $i$, is used to indicate either an axial slice within the MRI volume or an image in the histopathology stack. $\mathcal{M}^{Pr}$ and $\mathcal{H}^{Pr}$ represent the prostate segmentation on MRI and histopathology images, respectively.

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& &\

Variable & MRI & Pathology & MRI & Pathology\
Manufacturer: Coil type & GE: Surface & - & Siemens: Endorectal & -\
Sequence/Data Type & T2w & whole-mount & T2w & pseudo-whole mount\
Acquisition & TR: \[3.9, 6.3\]; & 