Editing three-dimensional models utilizing implicit function handles
Methods, systems, and non-transitory computer readable media are disclosed for transferring modifications or deformations from a three-dimensional model of one type to a three-dimensional model of another type. In some embodiments, the disclosed systems receive an indication of a user interaction defining a modification to a three-dimensional model. In some cases, the disclosed systems modify an implicit function corresponding to the three-dimensional model in response to the user interaction. In certain embodiments, the disclosed systems generate a modified three-dimensional model by transferring the modification from the implicit function to the three-dimensional model. Further, in some embodiments, the disclosed systems provide the modified three-dimensional model for display on a client device.
1. A method comprising:
fitting an implicit function to a three-dimensional mesh associated with a three-dimensional model;
receiving an indication of a user interaction defining a modification to thea three-dimensional model;
in response to the user interaction, generating a modified implicit function by modifying the implicit function corresponding to the three-dimensional model according to the modification;
determining implicit function gradients and implicit function values based on comparing the implicit function and the modified implicit function;
based on preserving the implicit function gradients and implicit function values, generating a modified three-dimensional model by transferring the modification from the implicit function to the three-dimensional model; and
providing the modified three-dimensional model for display on a client device.
2. The method of claim 1 , wherein implicit function values reflect distances of initial points of the implicit function and corresponding nearest points of the modified implicit function.
3. The method of claim 1 , wherein implicit function gradients reflect directions of initial points of the implicit function and corresponding nearest points on the modified implicit function.
4. The method of claim 1 , wherein generating the modified three-dimensional model comprises transferring the modification from the implicit function to the three-dimensional mesh associated with the three-dimensional model.
5. The method of claim 1 , wherein:
the implicit function is modifiable in a first parameter space; and
the three-dimensional mesh associated with the three-dimensional model is modifiable by moving its set of vertices while preserving their connectivity.
6. The method of claim 1 , wherein receiving the indication of the user interaction defining the modification comprises receiving, from a client device, an indication of an adjustment to a handle for adjusting a semantic parameter associated with the implicit function within a model manipulation interface.
7. A system comprising:
a memory component; and
one or more processing devices coupled to the memory component, the one or more processing devices to perform operations comprising:
fitting an implicit function to a three-dimensional mesh associated with a three-dimensional model;
receiving an indication of a user interaction defining a modification to thea three-dimensional model;
in response to the user interaction, generating a modified implicit function by modifying the implicit function corresponding to the three-dimensional model according to the modification;
determining implicit function gradients and implicit function values based on comparing the implicit function and the modified implicit function;
generating a modified three-dimensional model by transferring the modification from the implicit function to the three-dimensional model by
preserving the implicit function gradients and implicit function values;
and
providing the modified three-dimensional model for display on a client device.
8. The system of claim 7 , wherein preserving the implicit function values associated with the implicit function comprises:
determining an implicit function value at a point in space before the modification and after the modification; and
determining a transformation for the three-dimensional model that will preserve a distance at the point to a vertex of the three-dimensional model.
9. The system of claim 7 , wherein preserving the implicit function gradients associated with the implicit function comprises:
determining a gradient at a point before the modification and after the modification; and
determining a transformation for the three-dimensional model that will preserve the gradient at the point to a vertex of the three-dimensional model.
10. The system of claim 7 , wherein generating the modified three-dimensional model comprises transferring the modification to the three-dimensional mesh associated with the three-dimensional model.
11. The system of claim 7 , wherein transferring the modification to the three-dimensional model comprises applying the modification to a subset of vertices of the three-dimensional mesh associated with the three-dimensional model.
12. The system of claim 7 , wherein transferring the modification from the implicit function to the three-dimensional model comprises:
subdividing the modification into a sequence of deformation steps that preserve the implicit function values and the implicit function gradients at mesh vertices of the three-dimensional model; and
applying the sequence of deformation steps to vertices of the three-dimensional model.
13. The system of claim 7 , wherein generating the modified three-dimensional model comprises transferring the modification from the implicit function to the three-dimensional model by using only a parameter space associated with the implicit function.
14. The system of claim 7 , wherein the one or more processing devices are further to configured to perform operations comprising smoothing deformations of the modified three-dimensional model that result from transferring the modification.
15. A non-transitory computer readable medium storing executable instructions which, when executed by a processing device, cause the processing device to perform operations comprising:
fitting an implicit function to a three-dimensional mesh associated with a three-dimensional model;
receiving an indication of a user interaction defining a modification to the three-dimensional model;
in response to the user interaction, generating a modified implicit function by modifying the implicit function corresponding to the three-dimensional model according to the modification;
determining implicit function gradients and implicit function values based on comparing the implicit function and the modified implicit function;
based on preserving the implicit function gradients and implicit function values, generating a modified three-dimensional model by transferring the modification from the implicit function to the three-dimensional model; and
providing the modified three-dimensional model for display on a client device.
16. The non-transitory computer readable medium of claim 15 , wherein generating the modified three-dimensional model comprises preserving implicit function values at mesh vertices as part of transferring the modification.
17. The non-transitory computer readable medium of claim 15 , wherein generating the modified three-dimensional model comprises preserving the implicit function gradients at mesh vertices as part of transferring the modification.
18. The non-transitory computer readable medium of claim 15 , wherein generating the modified three-dimensional model comprises transferring the modification from the implicit function to the three-dimensional mesh associated with the three-dimensional model.
19. The non-transitory computer readable medium of claim 15 , wherein:
the implicit function is modifiable in a first parameter space; and
the three-dimensional mesh associated with the three-dimensional model is modifiable by moving its set of vertices while preserving their connectivity.
20. The non-transitory computer readable medium of claim 15 , wherein receiving the indication of the user interaction defining the modification comprises receiving, from a client device, an indication of an adjustment to a handle or adjusting a semantic parameter associated with the implicit function within a model manipulation interface.