39 results about "Radial basis function interpolation" patented technology

A method for determining a property of fluids in formations surrounding an earth borehole includes the following steps: producing, from measurements on a multiplicity of fluid samples, a database of stored fluid property training values related to stored fluid measurement training values; deriving, from the database, radial basis function parameters; deriving formation fluid measurement values; and determining, using radial basis function interpolation, the property of formation fluids from values in the database, the parameters, and the derived formation fluid measurement values.

The invention provides a recursive cosine transform method for plane geomagnetic anomalous field one-step upward continuation plane modulus gradient field. Plane geomagnetic anomalous field measurement data is preprocessed; the geomagnetic anomalous field measurement data irregularly and discretely distributed on an observation plane is gridded through utilization of a radial primary function interpolation method, thereby obtaining gridded geomagnetic anomalous measurement data; the gridded geomagnetic anomalous measurement data is transformed into cosine transform wave spectrums through utilization of recursive cosine transform; the wave spectrum of each component of a geomagnetic modulus gradient field is calculated according to the geomagnetic cosine transform wave spectrums through utilization of a one-step wave number domain transform factor; and recursive inverse cosine transform of line direction phase shift Pi / 2 is carried out on the wave spectrums of a horizontal x component, a horizontal y component and a vertical z component, thereby obtaining the components of the geomagnetic modulus gradient field on a continuation plane. According to the one-step method provided by the invention, the calculation quantity is half of the calculation quantity of a two-step method; through utilization of the cosine transform method, the Gibbs edge effect is reduced, and algorithm precision is improved; and the method can be applied to a data sequence with any length.

A technique for solving an inverse-kinematic problem by interpolating solutions from examples. Example poses or motions of an object are collected and annotated. The annotations are essentially parameters for a function—i.e., the function X(p) generates degree-of-freedom values of an object that is posed in a manner that satisfies parameters p. The analytic function X is interpolated from these examples and improved automatically based on kinematic measurements. Preferably, the interpolation is created by taking a weighted sum of cardinal basis functions having linear and radial parts, Preferably, the interpolation is a weighted sum of cardinal basis functions having linear and radial portions.

The invention discloses a computer-aided 3D facial reconstruction method which comprises the following steps: 1) a skull is scanned to acquire a 3D digital skull model; 2) the 3D digital skull model with caverns is carried out acquisition of skull caverns and insertion of discrete points in the cavern area, and then the caverns are filled by adopting triangulation of spatial polygon, finally, theleast squares fit and the interpolation method of the radial basis function are adopted to smoothly optimize a curved surface for partial and overall optimization to acquire a complete digital skull model; 3) the facial feature points are acquired by a method of manually marking feature points and a calculation method of adding normal soft tissue thickness along the normal direction of the curvedsurface, and the discrete feature points are carried out interpolation of the radial basis function and triangulation to acquire a facial reconstruction rudiment of the skull; 4) the reconstructed facial rudiment is generated into the 3D human face model with a sense of reality by a binding texture mapping algorithm. The computer-aided 3D facial reconstruction method has the advantages of good rapidity, high accuracy and reliability.

The invention discloses a simulation method and devices for gingival deformation, and relates to the technical field of oral cavity. The problems of inefficiency and untruthfulness of conventional gingival deformation simulation methods can be solved. The method includes the following steps: determining a gingival border point, a tooth corresponding to the gingival border point and a fixed point of gingival mesh deformation, the gingival border point being the boundary point between a tooth mesh and a gingival mesh; taking the point between the border line formed by the gingival border point and the order line formed by the fixed point as a deformation point, and determining the tooth corresponding to each deformation point; and when the tooth is transferred, updating the position of the gingival border point and the deformation point corresponding to the transferred tooth by using the transfer matrix of the transferred and a radial basis function interpolation method so that the gingival mesh can be updated. The method and the device are mainly suitable for the scenes of performing automatic stimulation on gingival soft tissue deformation.