Abstract: Methods and system for computing integrals over geometric domains using moment-base representations for interoperability are disclosed. A first computing device may receive data for geometric and field representations of an object, the geometric representation specifying a geometric domain of the object, and the field representation specifying a spatially varying physical quantity. The first computing device may integrate a predetermined set of basis functions over the geometric domain multiplied by a field to derive a moment-vector for the object, the moment-vector encapsulating an analytic formulation of the geometric domain that is independent of the geometric and field representations. The first computing device may computationally generate quadrature rules for integrating an arbitrary function by applying moment-fitting to the moment-vector.

Abstract: Methods and system for computing integrals over geometric domains using moment-base representations for interoperability are disclosed. A first computing device may receive data for a geometric representation of an object, the geometric representation specifying a geometric domain corresponding to a shape and a contained spatial region of the object. The first computing device may computationally integrate a predetermined set of basis functions over the geometric domain to derive a moment-vector for the object, the moment-vector encapsulating an analytic formulation of the geometric domain that is independent of the geometric representation. The first computing device may then computationally generate quadrature rules for integrating an arbitrary function by applying moment-fitting to the moment-vector. The quadrature rules may be provided to a second computing device.