In　dealing　with　small　sample　size　problem,　such　as　face　recognition　from　images,　Null　space　based　LDA　and　Bayesian　method　are　two　effective　algorithms.　In　this　paper,　we　analysis　the　two　algorithms　mentioned　above　from　the　view　of　Weighted　Projection　Approach,　and　show　that　they　both　can　be　viewed　as　special　cases　of　Weighted　Projection　Approach.　Then　a　Parameterized　Weighted　Projection　Approach　is　proposed.　It　can　combine　the　advantage　of　those　two　algorithms　analyzed　above　and　also　exhibit　good　flexibility.　Experiments　show　that　the　new　algorithm　is　more　flexible　and　can　reach　better　performance.