Generative design shape optimization with singularities and disconnection prevention for computer aided design and manufacturing

A method comprising:

• obtaining, by a computer program, one or more design criteria for a modeled object;
• iteratively modifying, by the computer program, a three dimensional shape of the modeled object in accordance with the one or more design criteria, wherein the iteratively modifying comprises regulating shape change velocities for an implicit surface representation of the three dimensional shape that exceed a reference velocity;
• and
• providing, by the computer program, the three dimensional shape of the modeled object for use in manufacturing a physical structure corresponding to the modeled object using one or more computer-controlled manufacturing systems.

A system comprising:

• a non-transitory computer-readable medium encoding instructions of a computer program;
• and
• one or more data processing apparatus configured to run the instructions of the computer program;
• wherein the instructions of the computer program are configured to cause the one or more data processing apparatus to perform operations comprising
• obtaining one or more design criteria for a modeled object,
• iteratively modifying a three dimensional shape of the modeled object in accordance with the one or more design criteria, wherein the iteratively modifying comprises regulating shape change velocities for an implicit surface representation of the three dimensional shape that exceed a reference velocity, and
• providing the three dimensional shape of the modeled object for use in manufacturing a physical structure corresponding to the modeled object using one or more computer-controlled manufacturing systems.

A non-transitory computer-readable medium encoding a computer program operable to cause one or more data processing apparatus to perform operations comprising:

• obtaining one or more design criteria for a modeled object;
• iteratively modifying a three dimensional shape of the modeled object in accordance with the one or more design criteria, wherein the iteratively modifying comprises regulating shape change velocities for an implicit surface representation of the three dimensional shape that exceed a reference velocity;
• and
• providing the three dimensional shape of the modeled object for use in manufacturing a physical structure corresponding to the modeled object using one or more computer-controlled manufacturing systems.