Analyzing the accessibility of an object's surface to probes or tools is im
portant for many planning and programming tasks that involve spatial reason
ing and arise in robotics and automation. This paper presents novel and eff
icient algorithms for computing accessible directions for tactile probes us
ed in 3D digitization with Coordinate Measuring Machines. The algorithms ar
e executed in standard computer graphics hardware. They are a nonobvious ap
plication of rendering hardware to scientific and technological areas beyon
d computer graphics.