In a large bowl, combine orange juice, yogurt, eggs, and sugar; mix until smooth. Add flour, baking powder, and orange zest; mix just until combined. Add oil and mix until fully blended.
Butter a 9-inch round cake pan; line the bottom with parchment paper. Pour cake batter into prepared pan. Lightly sprinkle sea salt on top of cake batter.
Bake for 30 to 35 minutes, or until toothpick comes out clean. Let cake cool in pan for 8 minutes. Remove cake from pan and place on wire rack until completely cool.
While cake is cooling, prepare glaze. Combine orange juice and powdered sugar until smooth; reserve. Place cake on serving plate; drizzle glaze over top of cake. Garnish with orange segments, orange curl, and mint sprig, if desired.