Mechanisms for utilizing a model space trim curve to provide inter-surface continuity
A mechanism is disclosed for reconstructing trimmed surfaces whose underlying spline surfaces intersect in model space, so that the reconstructed version of each original trimmed surface is geometrically close to the original trimmed surface, and so that the boundary of each respective reconstructed version includes a model space trim curve that approximates the geometric intersection of the underlying spline surfaces. Thus, the reconstructed versions will meet in a continuous fashion along the model space curve. The mechanism may operate on already trimmed surfaces such as may be available in a boundary representation object model, or, on spline surfaces that are to be trimmed, e.g., as part of a Boolean operation in a computer-aided design system. The ability to create objects with surface-surface intersections that are free of gaps liberates a whole host of downstream industries to perform their respective applications without the burdensome labor of gap repair, and thus, multiplies the efficacy of those industries.
1. A computer-implemented method for modifying a computer-aided design (CAD) model of a tangible object, the method comprising:
performing, by the computer:
storing geometric input data describing first and second input surfaces associated with the CAD model, respectively, wherein the first input surface is described in a first parameter space domain, and wherein the second input surface is described in a second parameter space domain;
storing a model space trim curve associated with the first and second input surfaces, wherein the model space trim curve is a curve that represents a geometric intersection of the first and second input surfaces;
constructing a modified CAD model of the tangible object comprising first and second output surfaces, wherein the modified CAD model is constructed based on the first and second input surfaces and the model space trim curve, wherein the modified CAD model exhibits increased inter-surface continuity between the first and second output surfaces relative to the first and second input surfaces, and wherein the first and second output surfaces are described in a third parameter space domain; and
storing the modified CAD model in memory.
2. The method of claim 1 ,
wherein at least a portion of the boundary of each of the first and second output surfaces coincides with the model space trim curve.
3. The method of claim 1 ,
wherein constructing the modified CAD model based on the first and second input surfaces and the model space trim curve comprises reparametrizing the first and second surfaces into the third parameter space domain based on the model space trim curve.
4. The method of claim 3 , wherein the model space trim curve comprises sequential segments of isocurves in the third parameter space domain.
5. The method of claim 1 , wherein the model space trim curve comprises a knot vector and isocurve sampling points in the third parameter space domain, wherein the isocurve sampling points are used to sample isocurves of the first and second input surfaces.
6. The method of claim 5 , wherein the isocurve sampling points comprise a set of Greville points in the third parameter space domain.
7. The method of claim 1 , wherein the first and second output surfaces are within a predetermined or user-definable error tolerance of the first and second input surfaces, respectively.
8. The method of claim 1 , wherein the model space trim curve is received as an output from a Boolean operation performed on the first and second input surfaces in a computer-aided design (CAD) system.
9. The method of claim 1 , the method further comprising:
constructing the model space trim curve based on a geometric intersection of the first and second input surfaces.
10. The method of claim 9 , the method further comprising:
identifying and classifying segments of the model space trim curve based on characteristic points of the geometric intersection of the first and second input surfaces, wherein each identified segment comprises an isocurve in the third parameter space domain, wherein said classification determines a parameter in the third parameter space domain that has a constant value along the isocurve.
11. The method of claim 1 , wherein the first and second input surfaces and the first and second output surfaces are non-uniform rational basis splines (NURBS).
12. The method of claim 1 , wherein said modifying is performed as part of a Boolean operation in a computer-aided design (CAD) software system.
13. The method of claim 1 , the method further comprising:
executing an engineering analysis on the modified CAD model to obtain data predicting physical behavior of an object described by the CAD model.
14. The method of claim 13 , wherein the engineering analysis comprises an isogeometric analysis.
15. The method of claim 1 , the method further comprising:
directing a process of manufacturing an object described by the modified CAD model.
16. The method of claim 1 , the method further comprising:
generating an image of an object based on the modified CAD model.
17. The method of claim 1 , the method further comprising:
generating a sequence of animation images based on the modified CAD model and displaying the sequence of animation images.
18. The method of claim 1 ,
wherein the first and second input surfaces have been trimmed based on the geometric intersection of the first and second input surfaces, wherein the first and second input surfaces each comprise a respective trim curve boundary, and
wherein the model space trim curve is determined based at least in part on the respective trim curve boundaries of the first and second input surfaces.
19. A non-transitory computer-readable memory medium comprising program instructions which, when executed by a processor, are configured to modify a computer-aided design (CAD) model by causing the processor to:
store geometric input data describing first and second input surfaces associated with the CAD model, respectively, wherein the first input surface is described in a first parameter space domain, and wherein the second input surface is described in a second parameter space domain;
store a model space trim curve associated with the first and second input surfaces, wherein the model space trim curve is a curve that represents a geometric intersection of the first and second input surfaces;
construct a modified CAD model comprising first and second output surfaces, wherein the modified CAD model is constructed based on the first and second input surfaces and the model space trim curve, wherein the modified CAD model exhibits increased inter-surface continuity between the first and second output surfaces relative to the first and second input surfaces, and wherein the first and second output surface are described in a third parameter space domain; and
store the modified CAD model in the computer-readable memory medium.
20. The non-transitory computer-readable memory medium of claim 19 ,
wherein at least a portion of the boundary of each of the first and second output surfaces coincides with the model space trim curve.
21. The non-transitory computer-readable memory medium of claim 19 ,
wherein constructing the modified CAD model based on the first and second input surfaces and the model space trim curve comprises reparametrizing the first and second surfaces into the third parameter space domain based on the model space trim curve.
22. The non-transitory computer-readable memory medium of claim 19 , wherein the model space trim curve comprises sequential segments of isocurves in the third parameter space domain of the modified CAD model.
23. The non-transitory computer-readable memory medium of claim 19 , wherein the model space trim curve comprises a knot vector and isocurve sampling points in the third parameter space domain, wherein the isocurve sampling points are used to sample isocurves of the first and second input surfaces.
24. The non-transitory computer-readable memory medium of claim 23 , wherein the isocurve sampling points comprise a set of Greville points in the third parameter space domain.
25. The non-transitory computer-readable memory medium of claim 19 , wherein the first and second output surfaces are within a predetermined or user-definable error tolerance of the first and second input surfaces, respectively.
26. The non-transitory computer-readable memory medium of claim 19 , wherein the model space trim curve is received as an output from a Boolean operation performed on the first and second input surfaces in a computer-aided design (CAD) system.
27. The non-transitory computer-readable memory medium of claim 19 , wherein the program instructions are further executable by the processor to cause the processor to:
construct the model space trim curve based on a geometric intersection of the first and second input surfaces and characteristic points of the geometric intersection.
28. The non-transitory computer-readable memory medium of claim 27 , wherein the program instructions are further executable by the processor to cause the processor to:
identify and classify segments of the model space trim curve based on the characteristic points, wherein each identified segment comprises an isocurve in the third parameter space domain of the modified CAD model, wherein said classification determines a parameter in the third parameter space domain that has a constant value along the isocurve.
29. The non-transitory computer-readable memory medium of claim 19 , wherein the first and second input surfaces and the first and second output surfaces are non-uniform rational basis splines (NURBS).
30. The non-transitory computer-readable memory medium of claim 19 , wherein said modifying is performed as part of a Boolean operation in a computer-aided design (CAD) software system.
31. The non-transitory computer-readable memory medium of claim 19 , wherein the program instructions are further executable by the processor to cause the processor to:
execute an engineering analysis on the modified CAD model to obtain data predicting physical behavior of an object described by the CAD model.
32. The non-transitory computer-readable memory medium of claim 31 , wherein the engineering analysis comprises an isogeometric analysis.
33. The non-transitory computer-readable memory medium of claim 19 , wherein the program instructions are further executable by the processor to cause the processor to perform one of:
directing a process of manufacturing an object described by the modified CAD model;
generating an image of an object based on the modified CAD model; or
generating a sequence of animation images based on the modified CAD model and displaying the sequence of animation images.
34. The non-transitory computer-readable memory medium of claim 19 ,
wherein the first and second input surfaces have been trimmed based on the geometric intersection of the first and second input surfaces, wherein the first and second input surfaces each comprise a respective trim curve boundary, and
wherein the model space trim curve is determined based at least in part on the respective trim curve boundaries of the first and second input surfaces.
35. A non-transitory computer-readable memory medium comprising program instructions which, when executed by a processor, are configured to modify a computer-aided design (CAD) model by causing the processor to:
store the CAD model in the memory medium, wherein the CAD model comprises a plurality of input surfaces comprising first and second input surfaces that cross in space along at least one intersection curve shared by the first and second input surfaces, wherein the first input surface is described in a first parameter space domain, and wherein the second input surface is described in a second parameter space domain,
store at least one model space trim curve in the memory medium, wherein the at least one model space trim curve are one or more curves that represent the at least one intersection curve shared by the first and second input surfaces;
construct first and second output surfaces, wherein the first and second output surfaces are constructed based on the first and second input surfaces and the at least one model space trim curve, wherein the first and second output surfaces exhibit increased inter-surface continuity relative to the first and second input surfaces, and wherein the first and second output surface are described in a third parameter space domain; and
replace, in the CAD model, the first and second input surfaces with the first and second output surfaces to produce a modified CAD model, wherein the modified CAD model exhibits increased inter-surface continuity between the first and second output surfaces relative to the first and second input surfaces; and
store the modified CAD model in the memory medium.
36. The non-transitory computer-readable memory medium of claim 35 , wherein the program instructions are further executable by the processor to cause the processor to:
identify a series of points along the at least one model space trim curve; and
construct a series of isocurves based at least in part on the identified series of points, wherein the modified CAD model is constructed further based at least in part on the series of isocurves.