1. A non-transitory computer-readable media comprising instructions stored thereon, the instructions, when executed by one or more processors, cause the processors to perform operations comprising: receiving a first handwriting input from a user, the first handwriting input comprising a plurality of handwritten strokes distributed along a respective writing direction associated with a handwriting input area of a handwriting input interface; rendering each of the plurality of handwritten strokes in the handwriting input area as the handwritten stroke is provided by the user; starting a respective fading process for the plurality of handwritten strokes of the first handwriting input, wherein during the respective fading process, the rendering of the plurality of handwritten strokes in the handwriting input area becomes increasingly faded; receiving a second handwriting input from the user over a region of the handwriting input area occupied by a faded plurality of handwritten strokes of the first handwriting input; and in response to receiving the second handwriting input: rendering the second handwriting input in the handwriting input area; and clearing all the faded plurality of handwritten strokes of the first handwriting input from the handwriting input area.