Apparatus and method for producing a 3D part using implicit representation
A 3D production apparatus and method that receives a 3D production file, the 3D production file containing at least one positional command defined based on an implicit representation, the at least one positional command including at least one parameter of the implicit representation. At least one tool command is generated based on the parameters of the implicit representation. A position of a tool is controlled based on the generated at least one tool command, to produce at least a portion of a 3D part corresponding to the 3D production file.
1. An apparatus comprising:
at least one processor; and
at least one memory,
wherein the at least one memory stores computer-readable instructions which, when executed by the at least one processor, cause the processor to:
receive a 3D production file, the 3D production file containing at least one positional command defined based on an implicit representation, the at least one positional command including at least one parameter of the implicit representation,
generate at least one tool command based on the parameters of the implicit representation, and
control a position of a tool, based on the generated at least one tool command, to produce at least a portion of a 3D part corresponding to the 3D production file,
wherein the implicit representation is a closed-form mathematical representation represented by a mathematical expression, and the at least one parameter of the implicit representation includes at least one parameter of the mathematical equation.
2. The apparatus of claim 1 , wherein the closed-form mathematical representation is a representation of a geometric structure.
3. The apparatus of claim 2 , wherein the geometric structure is a Gyroid.
4. The apparatus of claim 2 , wherein the geometric structure is a Schwarz Diamond.
5. The apparatus of claim 2 , wherein the generating at least one tool command includes:
generating a profile of the geometric structure, based on the at least one parameter of the closed-form functional representation, and
generating the at least one tool command based on the generated profile of the geometric structure.
6. The apparatus of claim 2 , wherein the generating at least one tool command includes:
generating a profile of the geometric structure, based on the at least one parameter of the closed-form mathematical representation,
generating at least one piecewise segment based on the generated profile of the geometric structure, and
generating the at least one tool command based on the generated at least one piecewise segment.
7. The apparatus of claim 2 , wherein the 3D part is produced on a layer-by-layer basis, and
wherein the generating at least one tool command includes, for each print layer:
generating a profile of the geometric structure for the print layer, based on the at least one parameter of the closed-form mathematical representation,
generating at least one piecewise segment based on the generated profile of the geometric structure, and
generating the at least one tool command based on the generated at least one piecewise segment.
8. The apparatus of claim 2 , wherein the computer-readable instructions are first computer-readable instructions,
wherein the 3D production file further contains second computer-readable instructions which, when executed by the processor, cause the processor to generate a profile of the geometric structure, and
wherein the first computer-readable instructions which, when executed by the processor, cause the processor to store the second computer-readable instructions in the at least one memory.
9. The apparatus of claim 1 , wherein the at least one positional command includes a motion command.
10. The apparatus of claim 1 , wherein the at least one tool command includes a motor command.
11. The apparatus of claim 1 , wherein the at least one tool command includes information corresponding to a position to deposit 3D printing material for a 3D printer apparatus.
12. The apparatus of claim 1 , wherein the at least one tool command includes information corresponding to a position or orientation of an emitted energy beam for a directed energy deposition (DED) apparatus.
13. The apparatus of claim 1 , wherein the at least one tool command includes information corresponding to a position or orientation of an emitted light beam for a stereolithography (SLA) apparatus.
14. The apparatus of claim 1 , wherein the at least one tool command includes information corresponding to a position or orientation of an emitted light beam for a digital light processing (DLP) apparatus.
15. The apparatus of claim 1 , wherein the at least one tool command includes information corresponding to a position to deposit a liquid binder on powder for a binderjet apparatus.
16. The apparatus of claim 1 , wherein the at least one tool command includes information corresponding to a position of a machining tool for a CNC apparatus.
17. The apparatus of claim 1 , wherein the at least one tool command includes information corresponding to a position or orientation of an emitted laser beam for a laser cutting apparatus.
18. An apparatus comprising:
at least one processor; and
at least one memory,
wherein the at least one memory stores computer-readable instructions which, when executed by the at least one processor, cause the processor to:
receive a 3D production file, the 3D production file containing at least one positional command defined based on an implicit representation, the at least one positional command including at least one parameter of the implicit representation,
generate at least one tool command based on the parameters of the implicit representation, and
control a position of a tool, based on the generated at least one tool command, to produce at least a portion of a 3D part corresponding to the 3D production file,
wherein the implicit representation is a closed-form algorithmic representation, and the at least one parameter of the implicit representation includes at least one parameter of the closed-form algorithmic representation.
19. A method comprising:
receiving, by at least one processor, a 3D production file, the 3D production file containing at least one positional command defined based on an implicit representation, the at least one positional command including at least one parameter of the implicit representation;
generating, by the at least one processor, at least one tool command based on the parameters of the implicit representation; and
controlling, by the at least one processor, a position of a tool, based on the generated at least one tool command, to produce at least a portion of a 3D part corresponding to the 3D production file,
wherein the implicit representation is a closed-form mathematical representation represented by a mathematical expression, and the at least one parameter of the implicit representation includes at least one parameter of the mathematical equation.
20. The method of claim 19 , wherein the closed-form mathematical representation is a representation of a geometric structure.
21. The method of claim 20 , wherein the geometric structure is a Gyroid.
22. The method of claim 20 , wherein the geometric structure is a Schwarz Diamond.
23. The method of claim 20 , wherein the generating at least one tool command includes:
generating a profile of the geometric structure, based on the at least one parameter of the closed-form mathematical representation, and
generating the at least one tool command based on the generated profile of the geometric structure.
24. The method of claim 20 , wherein the generating at least one tool command includes:
generating a profile of the geometric structure, based on the at least one parameter of the closed-form mathematical representation,
generating at least one piecewise segment based on the generated profile of the geometric structure, and
generating the at least one tool command based on the generated at least one piecewise segment.
25. The method of claim 20 , wherein the 3D part is produced on a layer-by-layer basis, and
wherein the generating at least one tool command includes, for each print layer:
generating a profile of the geometric structure for the print layer, based on the at least one parameter of the closed-form functional representation,
generating at least one piecewise segment based on the generated profile of the geometric structure, and
generating the at least one tool command based on the generated at least one piecewise segment.
26. The method of claim 20 , wherein the computer-readable instructions are first computer-readable instructions,
wherein the 3D production file further contains second computer-readable instructions which, when executed by the at least one processor, cause the at least one processor to generate a profile of the geometric structure, and
wherein the first computer-readable instructions which, when executed by the at least one processor, cause the processor to store the second computer-readable instructions in the at least one memory.
27. The method of claim 19 , wherein the at least one positional command includes a motion command.
28. The method of claim 19 , wherein the at least one tool command includes a motor command.
29. The method of claim 19 , wherein the at least one tool command includes information corresponding to a position to deposit 3D printing material for a 3D printer apparatus.
30. The method of claim 19 , wherein the at least one tool command includes information corresponding to a position or orientation of an emitted energy beam for a directed energy deposition (DED) apparatus.
31. The method of claim 19 , wherein the at least one tool command includes information corresponding to a position or orientation of an emitted light beam for a stereolithography (SLA) apparatus.
32. The method of claim 19 , wherein the at least one tool command includes information corresponding to a position or orientation of an emitted light beam for a digital light processing (DLP) apparatus.
33. The method of claim 19 , wherein the at least one tool command includes information corresponding to a position to deposit a liquid binder on powder for a binderjet apparatus.
34. The method of claim 19 , wherein the at least one tool command includes information corresponding to a position of a machining tool for a CNC apparatus.
35. The method of claim 19 , wherein the at least one tool command includes information corresponding to a position or orientation of an emitted laser beam for a laser cutting apparatus.
36. A method comprising:
receiving, by at least one processor, a 3D production file, the 3D production file containing at least one positional command defined based on an implicit representation, the at least one positional command including at least one parameter of the implicit representation;
generating, by the at least one processor, at least one tool command based on the parameters of the implicit representation; and
controlling, by the at least one processor, a position of a tool, based on the generated at least one tool command, to produce at least a portion of a 3D part corresponding to the 3D production file,
wherein the implicit representation is a closed-form algorithmic representation, and the at least one parameter of the implicit representation includes at least one parameter of the closed-form algorithmic representation.