Patent Document ID: 10102319
Application ID: 15210972
Patent Flag: 1

Claim One:
1. A method for simulating fields on a surface of a physical object, comprising: imaging the surface of the physical object using a sensor to create imaging data; based on the imaging data captured by the sensor, generating a polygon control mesh that represents the surface of the physical object, wherein the polygon control mesh defines a collection of points on the surface of the physical object and connectivity between the points; determining a geometric basis function that represents the surface of the physical object using the polygon control mesh, wherein the geometric basis function is continuous, and wherein a first derivative of the geometric basis function is continuous; using a Helmholtz decomposition together with the geometric basis function to produce a vector basis function that has a rotational component and a diverging component, wherein the rotational component is orthogonal to the diverging component; specific to the surface of the physical object, constructing a discrete linear system describing a physical external field impinging on the physical object, wherein the discrete linear system is based on a representation of equivalent currents defined on the surface of the physical object in terms of the rotational component and the diverging component; generating a solution to the discrete linear system; and determining a physical field at a physical location with respect to the physical object in space using the solution to the discrete linear system.