Algorithm 3.

Transmural segmentation based on 2 diffusion analyses (B,C)

$$\begin{array}{l}{\mathrm{\Omega }}_{\mathit{epi}}:={\mathrm{\Omega }}_B^{+}\cap {\mathrm{\Omega }}_C^{+}\\ \equiv \{\mathbf{x}:{\varphi }_B(\mathbf{x})>{\varphi }_{+}\wedge {\varphi }_C(\mathbf{x})>{\varphi }_{+}\}\\ {\mathrm{\Omega }}_M:={\mathrm{\Omega }}_B^{\pm }\cup {\mathrm{\Omega }}_C^{\pm }\\ \equiv \{\mathbf{x}:{\varphi }_{-}<{\varphi }_B(\mathbf{x})<{\varphi }_{+}\vee {\varphi }_{-}<{\varphi }_C(\mathbf{x})<{\varphi }_{+}\}\\ {\mathrm{\Omega }}_{\mathit{endo}}:={\mathrm{\Omega }}_B^{-}\cup {\mathrm{\Omega }}_C^{-}\\ \equiv \{\mathbf{x}:{\varphi }_B(\mathbf{x})<{\varphi }_{-}\vee {\varphi }_C(\mathbf{x})<{\varphi }_{-}\}\end{array}$$