Computer implemented tool box systems and methods

• US 8,818,771 B2
• Filed: 06/21/2011
• Issued: 08/26/2014
• Est. Priority Date: 06/21/2010
• Status: Active Grant

• Current Assignee: Genicap Beheer B.V.
• Original Assignee: Genicap Beheer B.V.
• Inventors: Gielis, Johan, Caratelli, Diego
• Primary Examiner(s): PHAN, THAI Q
• Application Number:
  US13/165,240
• Publication Number:
  US 20120041728A1
• Time in Patent Office: 1,162 Days
• Field of Search: 703/2, 703/5, 708/270, 708/276, 345/440
• US Class Current: 703/2
• CPC Class Codes: G06F 17/14 Fourier, Walsh or analogous domain transformations , e.g. Laplace, Hilbert, Karhunen-Loeve, transforms for correlation function computation G06F17/156; spectrum analysers G01R23/16
• CPC Class Codes: G06T 17/30 Polynomial surface description

Abstract

According to the preferred embodiments, a system or method is provided that involves the programming of a computer or other processing device with a software, hardware or firmware configured to create a processing tool (i.e., referred to herein as a tool box) that can be configured to provide one or more operational function based on new mathematical principles described herein for the purposes of, e.g., synthesizing or analyzing shapes and the like.

Claims

1. A method of optimizing a shape of a product, comprising:

a) providing a computer programmed to solve the following equation related to differential problems in a two dimensional domain whose boundary is described by a general k-type Gielis curve

2. The method of claim 1, further including using the computer tool box to synthesize shapes using said equation along with linear interpolation between terms.

3. The method of claim 1, further including using the computer tool box to synthesize k-type curves using said equation.

4. The method of claim 1, wherein said product is an antenna.

5. The method of claim 4, wherein said antenna is a dielectric resonator antenna.

6. The method of claim 4, wherein said antenna is made of a plastic.

7. The method of claim 6, wherein said antenna is made of PVC.

8. The method of claim 7, wherein said antenna is a dielectric resonator antenna.

9. The method of claim 4, wherein said optimal shape of said antenna optimizes a directivity pattern of said antenna.

10. The method of claim 4, wherein said optimal shape of said antenna includes a concave cross-section.

11. A system for optimizing a shape of a product, comprising:

a) a computer programmed to solve the following equation related to differential problems in a two dimensional domain whose boundary is described by a general k-type Gielis curve

12. The system of claim 11, further including the computer being configured to synthesize shapes using said equation along with linear interpolation between terms.

13. The system of claim 11, further including the computer being configured to synthesize k-type curves using said equation.