Drain tomatoes on paper towels to remove excess oil; snip tomatoes. Combine snipped tomatoes, artichoke hearts, Swiss cheese, sour cream, mayonnaise or salad dressing, and garlic in a medium mixing bowl. Transfer to an 8-inch quiche dish or a shallow casserole. Sprinkle with Parmesan cheese.
Bake in a 350 degree F oven for 20 to 25 minutes or until Swiss cheese is melted and mixture is heated through. Serve with breadsticks or crackers. Makes 12 servings (about 2-1/4 cups).