1. An apparatus for recognizing a spatial gesture, comprising: a pattern formation unit for radiating light onto a surface of an object required to input a gesture in a virtual air bounce, and forming a predetermined pattern on the surface of the object; an image acquisition unit for acquiring a motion image of the object; a processing unit for recognizing a gesture input by the object based on the pattern formed on the surface of the object using the acquired image; a gesture recognition unit for recognizing a motion of the object as a gesture, the gesture recognition unit extracts vector values from the gesture and differentiates velocities of the vector values to eliminate or correct a meaningless portion of the gesture; wherein the gesture recognition unit recognizes the motion of the object made in a predetermined area of the air bounce as a gesture based on the calculated depth information of the object; wherein the gesture recognition unit extracts information about one or more feature vectors from the recognized gesture, and eliminates a ligature from the motion of the object using the extracted feature vectors; wherein the gesture recognition unit extracts one or more segmentation points using the extracted feature vectors and the calculated depth information of the object, and determines a portion for connecting the extracted segmentation points to be a ligature; and wherein the gesture recognition unit extracts the segmentation points by applying the feature vectors and the depth information of the object to any one of the following feature point extraction techniques: a matching probability technique and a pattern model technique.