To better realize the great potential of amateur digital photography, the present invention introduces an intuitive system for digital manipulation. The system of the present invention allows a user to simply fix small blemishes in digital images. In one embodiment, the user merely places a cursor on the image blemish and activates a cursor control device such as a mouse button. In one embodiment, the blemish repair system is implemented using one of Dirichlet's theorems. The theorem provides a method of creating a smooth surface within a circle by using the values of points around the circle. To prevent the result from appearing too smooth, some pixelization may be added.