I want to apply for PhD program in mechanical engineering at Stanford. Furthermore, I want to conduct research in the area of computer vision and computer graphics with application to robotics, manufacturing and mechanical industry. However, there are not any professors in mechanical engineering department who conduct research in this area, most of the relevant professors are in Computer science or electrical engineering.
Is there a way to highlight my intent to conduct interdisciplinary research with a professor outside mechanical department in the Statement of Purpose without negatively impacting my chances to receive an offer of admission? Is applying for PhD in mechanical engineering but not intending to do research with a mechanical engineering professor viewed negatively?