Application in CAD/CAM/CAE:

• Validated bounds for self intersection is very useful in NC machining, where the tool path often follows an offset of the surface to be machined.
  

• Validated error bounds for surface intersection are essential in interval boundary representation for consistent solid models (gap formation is resolved).
• Presentation on Interval Boundary Representation.
  

• Tracing true intersection curve is essential to obtain correct contours, which can further be used for navigation (topography), and obtaining the contour bands for surface properties.
  

• Manufacturing simulation is another application where accurate evaluation of intersection is needed.
  
• Applications of correctly traced SSI.
     

Current Research Work:

• One important aspect which we are presently studying is a mechanism for strict error control for a validated interval solution scheme applied to surface intersection problem.
  

• Strict bounds for the starting point is another concern, with special effort going into the multiple root evaluation.
  

• Topology resolution to robustly identify all the intersection curve segments is yet another topic of study.