1. A computer-implemented method for projecting a texture map onto a three-dimensional (3D) model, the method comprising: identifying a portion of a surface region of the 3D model that resides proximate to a stroke path defined across the surface region; generating a UV coordinate for each point within a first plurality of points associated with the stroke path; generating a UV coordinate for each point within a second plurality of points associated with the portion of the surface region of the 3D model that resides proximate to the stroke path; and projecting the texture map onto the surface region of the 3D model according to the UV coordinates generated for each point within the first plurality of points and the UV coordinates generated for each point within the second plurality of points.