With　the　advent　of　cloud　computing,　explosively　increasing　images　are　gradually　outsourced　to　the　cloud　server　for　costs　saving　and　feasibility.　For　security　and　privacy　concerns,　images　(e.g.,　medical　diagnosis,　personal　photos)　should　be　encrypted　before　being　outsourced.　However,　traditional　encrypted　image　retrieval　techniques　still　suffer　from　costly　access　control　and　low　search　accuracy.　To　solve　these　challenging　issues,　in　this　article,　we　first　propose　a　Controllable　encrypted　cloud　image　Search　scheme　in　Multi-user　settings　(namely　CSM)　by　using　the　polynomial-based　access　strategy　and　proxy　re-encryption　technique.　CSM　achieves　efficient　access　control　and　avoids　heavy　communication　overhead　caused　by　key　transmission.　Then,　we　improve　the　basic　CSM　to　achieve　malicious　search　user　Tracing　(namely　TCSM)　by　utilizing　the　watermark　technique,　which　can　further　prevent　search　users　from　illegally　redistributing　retrieved　images　to　unauthorized　search　users.　Our　formal　security　analysis　proves　that　our　CSM　(or　TCSM)　can　guarantee　the　privacy　of　images,　indexes,　and　search　queries.　Our　empirical　experiments　using　real-world　datasets　demonstrate　the　efficiency　and　high　accuracy　of　our　CSM　(or　TCSM)　in　practice.