System, method and computer-accessible medium for accelerated generation of statistically correlated point structures
AssigneeNew York University
InventorsAaron SHIH, Mathias CASIULIS, Stefano MARTINIANI
Life of this patent
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Abstract
Exemplary systems, methods, and computer-accessible medium are provided that can optimize a design of an object. Thus, exemplary systems, methods, and computer-accessible medium can be provided that can apply a fast Fourier transform and/or non-uniform fast Fourier transform to generate continuous and discrete point structures with one or more arbitrary statistical correlations.
Claims21
1-4. (canceled)
A system for optimizing a design of an object, comprising:
- at least one computer processor which is configured to:
- apply at least one of (i) a fast Fourier transform or (ii) a non-uniform fast Fourier transform to at least one of:
- a) generate continuous and discrete point structures with one or more arbitrary statistical correlations, or
- b) optimize at least one of at least one position or at least one characteristic of a plurality of elements of the object.
A non-transitory computer accessible medium which includes software thereon for optimizing a design of an object wherein, when at least one computer processor executes the software, the computer processor is configured to perform the procedures, comprising:
- applying at least one of (i) a fast Fourier transform or (ii) a non-uniform fast Fourier transform to at least one of:
- a) generate continuous and discrete point structures with one or more arbitrary statistical correlations, or
- b) optimize at least one of at least one position or at least one characteristic of a plurality of elements of the object.
13-19. (canceled)
A system for optimizing a design of an object, comprising:
- at least one computer processor which is configured to:
- use a fast Fourier transform to optimize a loss via gradient in a log-linear time scale.
21-23. (canceled)
Dependencies are inferred from the claim text.