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