Abstract: Method and systems are provided for building a structural model of the subsurface. The method may comprise obtaining discretized data that includes surfaces, polylines, points, or combinations thereof. The surfaces in the discretized data are segmented by other surfaces to form a number of segments. Each of the segments are fit to an implicit function. The implicit function for each of the segments is thresholded to create a number of implicit surfaces. The implicit surfaces are intersected to create a number of model surfaces. The structural model is then constructed from the model surfaces.

Abstract: Method and systems are provided for building a structural model of the subsurface. The method may comprise obtaining discretized data that includes surfaces, polylines, points, or combinations thereof. The surfaces in the discretized data are segmented by other surfaces to form a number of segments. Each of the segments are fit to an implicit function. The implicit function for each of the segments is thresholded to create a number of implicit surfaces. The implicit surfaces are intersected to create a number of model surfaces. The structural model is then constructed from the model surfaces.

Abstract: Systems and methods for imaging an object using backscattered radiation are described. The imaging system comprises both a radiation source for irradiating an object that is rotationally movable about the object, and a detector for detecting backscattered radiation from the object that can be disposed on substantially the same side of the object as the source and which can be rotationally movable about the object. The detector can be separated into multiple detector segments with each segment having a single line of sight projection through the object and so detects radiation along that line of sight. Thus, each detector segment can isolate the desired component of the backscattered radiation. By moving independently of each other about the object, the source and detector can collect multiple images of the object at different angles of rotation and generate a three dimensional reconstruction of the object. Other embodiments are described.

Abstract: A method and system are described for identifying a geologic object through cross sections of a geologic data volume. The method includes obtaining a geologic data volume having a set of cross sections. Then, two or more cross sections are selected and a transformation vector is estimated between the cross sections. Based on the transformation vector, a geologic object is identified within the geologic data volume.

Abstract: A system and method are provided for a parallel processing of the Hamilton-Jacobi equation. A numerical method is provided to solve the Hamilton-Jacobi equation that can be used with various parallel architectures and an improved Godunov Hamiltonian computation.

Abstract: A system and method are provided for a parallel processing of the Hamilton-Jacobi equation. A numerical method is provided to solve the Hamilton-Jacobi equation that can be used with various parallel architectures and an improved Godunov Hamiltonian computation.

Abstract: Systems and methods for imaging an object using backscattered radiation are described. The imaging system comprises both a radiation source for irradiating an object that is rotationally movable about the object, and a detector for detecting backscattered radiation from the object that can be disposed on substantially the same side of the object as the source and which can be rotationally movable about the object. The detector can be separated into multiple detector segments with each segment having a single line of sight projection through the object and so detects radiation along that line of sight. Thus, each detector segment can isolate the desired component of the backscattered radiation. By moving independently of each other about the object, the source and detector can collect multiple images of the object at different angles of rotation and generate a three dimensional reconstruction of the object. Other embodiments are described.

Abstract: A method and system are described for identifying a geologic object through cross sections of a geologic data volume. The method includes obtaining a geologic data volume having a set of cross sections. Then, two or more cross sections are selected and a transformation vector is estimated between the cross sections. Based on the transformation vector, a geologic object is identified within the geologic data volume.

Abstract: A system and method are provided for a parallel processing of the Hamilton-Jacobi equation.

Abstract: A method of segmenting a digitized image includes marking a subset of pixels in an image, defining edge conductances between each pair of adjacent pixels in the image based on the intensity difference of each said pixel pair, associating a probability potential with each unmarked pixel, and using a multigrid method to solve for the probability potentials for each unmarked pixel, wherein a restriction operator from the image grid to a coarse grid is calculated from a conductance-weighted average of the conductances on the image grid, the coarse grid conductances are calculated from the image grid conductances using a ?-Y conversion, and the multigrid prolongation operator is calculated using a conductance-weighted interpolation of the coarse grid conductances.

Abstract: A method of segmenting a digitized image includes marking a subset of pixels in an image, defining edge conductances between each pair of adjacent pixels in the image based on the intensity difference of each said pixel pair, associating a probability potential with each unmarked pixel, and using a multigrid method to solve for the probability potentials for each unmarked pixel, wherein a restriction operator from the image grid to a coarse grid is calculated from a conductance-weighted average of the conductances on the image grid, the coarse grid conductances are calculated from the image grid conductances using a ?-Y conversion, and the multigrid prolongation operator is calculated using a conductance-weighted interpolation of the coarse grid conductances.