How do you wrap a 2D design on the curved face of a 3D solid?
One way is to align the logo with the side of the cup and use the Project to View tool under the Surface tab, Project Geometry panel. (_PROJECTGEOMETRY)
FYI, the project objects will be a spline.
I drew a cup shaped object then a 2D outline to project on the cup. This is the result. It converts the 2D lines to splines.
Projecting the 2D geometry in a straight line will distort the shape. For example,
here's a uniform stair step pattern in front of a simple cup.
Here's the result of PROJECTGEOMETRY. The green line is the projection.
Note the distortion and how it gets worse near the edges of the cup.
Is the cup design a revolved shape or somethig more complex?
What is your end goal. A 3D model that can be 3D printed or a good looking picture?
If the latter I would consider using 3ds Max and the UVW Unwrap feature.
You can either join the splines together or use to the spline to polyline command (SPLINEDIT) to create a closed shape then use the tools to extrude the shape.
If you are going to use projectgeometry or extrude outlines by other you should modifiy the shape of the 2D geometry you are going to in effect project to compensate for the distortion as it lands n the revolved geometry.
In the following I created a 5 x 5 polyline grid with a vertex at each intersection (the selected geoemtry). Using the strech command I moved the vertices of each column by a calculated value based on the radius of the cylinder I intended to use and the subtended angle I wanted the grid to fill (in this example the angle was 0 to 50°). The green grid is the result.
The red lines are the result of using projectgeometry of the green gris onto the yellow cylinder. As you can see the red grid looks free of distortion.
You should also compensate if there is a significant radius change with vertical displacment of the cup for the area that will receive the projection.
I created a simple spreadsheet to calculate the displacement values used by the stretch command.
You might also consider redrawing the logo on the distorted grid and then just project that shape.
I modified the 2d face geometry using the grid I discussed in an earlier post and then projected the results to the cup. This resulted in a airly good "wrap". I did the mark to the right of the brow separately.
My plan was to then make surfaces from the wrapped lines. thicken them and subtract from the cup. This proved problematic as it is difficult in AutoCAD to use 3D splines to define a surface. In addition, AutoCAD's subtract has difficulties with the Booelan regularization step (when surfaces are coincident) resuting in errors.
In addition, it is unclear how to handle the "raise 1mm" requirement for the eyes which consist of 3 distinct areas.
If area 1 is raised 1 mm then should area 2 not be raised at all? what about area 3?
It would be helpful if you supplied a drawing with closed splines that define each of these area.
With AutoCAD's difficulty doing Boolean subtracts with small penetrations I suggest creating multiple concentric cups with a wal thickness of 1mm. Extruded shapes then can be subtracted from the appropiate set of these cups to get the relief affect you seek.
