Preheat oven to 350-degrees F. Lightly grease the bottom and sides of two 9-inch round cake pans. Line the bottom with parchment paper.
Sift together the flour, baking powder, baking soda, and salt. Set aside. In a separate bowl, whisk together pineapple juice, crushed pineapple and vanilla extract.
Cream the butter and 3/4 cup sugar together until fluffy in a separate bowl. Add the egg yolks one at a time, beating after each addition until smooth.
Alternate adding the sifted dry ingredients with the pineapple juice mixture into the butter/sugar mixture, beating after each addition until smooth.
In a separate bowl, beat egg whites until stiff. Gradually add in remaining 1/4 cup sugar, beating until combined. Fold beaten egg whites into batter.
Divide batter between the two prepared 9-inch round cake pans. Bake at 350-degrees F for 30 minutes, or until a cake tester comes out clean.
Cool in pans for about 10 minutes, then carefully transfer to cooling racks until cool.
Fill and Frost the cake with a simple white icing using pineaple juice instead of milk to thin.
Sprinkle the candied pineapple on the finished cake.