Paste one form / object on another and make it follow this form

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Hi everybody, sorry for my English
I am contacting you about a difficulty SKETCHUP Free. Here is the problem:
We created a base in 3D (a motorcycle helmet) on the software, and on the same file we make a sketch of a form (let's take for example a star). We hope that this star sticks on an area of the helmet (as if we were sticking a sticker) and that it fits perfectly the shape of the helmet but without the star being changed in size.
Is that possible? and if so, how to do it?
Would it be possible to do the same thing but with a solid?
For information, we found a system of projection of the form towards the helmet, but the problem is that the projection does not allow to preserve the dimensions of the segments like the sketch (moreover the angles of projections have an impact on the deformation of form) and we really want to make a collage of the form (star) on the helmet.
Looking forward to your answer
Thank you