Techniques to process three-dimensional object files while maintaining privacy

A system for identifying regions of a three-dimensional (3D) printable object that are accessible by a tool, comprising:

• a memory;
• a processing device operatively coupled to the memory, the processing device to:
• receive, from a remote computing device, an encrypted object file that comprises a specification of a 3D printable object and receiving a request to process the encrypted object file to identify regions of the 3D printable object that are accessible by a tool;
• obtain a tool specification, compute a complement of the tool specification, and encrypt the complement of the tool specification to generate an encrypted comparison file;
• compute an encrypted Minkowski sum of the encrypted object file and the encrypted comparison file to generate an encrypted result file that describes the regions of the 3D printable object that are accessible by the tool, wherein the encrypted Minkowski sum is computed without decrypting the encrypted object file;
• and
• send the encrypted result file to the remote computing device.

A non-transitory computer-readable storage medium having instructions stored thereon that, when executed by a processing device, cause the processing device to:

• receive, from a remote computing device, an encrypted object file that comprises a specification of a 3D printable object and receiving a request to process the encrypted object file to identify regions of the 3D printable object that are accessible by a tool;
• obtain a tool specification, compute a complement of the tool specification, and encrypt the complement of the tool specification to generate an encrypted comparison file;
• compute, by a processing device, an encrypted Minkowski sum of the encrypted object file and the encrypted comparison file to generate an encrypted result file that describes the regions of the 3D printable object that are accessible by the tool, wherein the encrypted Minkowski sum is computed without decrypting the encrypted object file;
• and
• send the encrypted result file to the remote computing device.