Heat the cream, sugar, vanilla, and vanilla seeds in a small saucepan only until the sugar is dissolved. Be sure the sugar is dissolved - you will no longer feel any grittiness from the sugar if you rub some cream between your fingers. Strain into a bowl, cover, and chill very well. Freeze the mixture in an ice cream freezer according to the manufacturer's directions. Spoon into a freezer container and allow to chill in the freezer for a few hours. Allow to soften before serving.