A processing system is disclosed for providing processing of homogenous and non-homogenous objects in both structured and cluttered environments. The processing system includes a programmable motion device including an end effector, a perception system for recognizing any of the identity, location, and orientation of an object presented in a plurality of objects at an input location, a grasp acquisition system for acquiring the object using the end effector to permit the object to be moved from the plurality of objects to one of a plurality of destination bins, and a motion planning system for determining a changing portion of a trajectory path of the end effector from the object to a base location proximate to the input location, and determining an unchanging portion of a trajectory path of the end effector from the base location to a destination bin location proximate to a destination bin, wherein the unchanging portion of the trajectory path is chosen to provide a path from the base location to the destination bin location that is consistent with paths taken by other objects.