Geobody surface reconstruction

A system comprising:

• a processor;
• memory operatively coupled to the processor;
• and
• processor-executable instructions stored in the memory to instruct the system to:
• render a visualization of at least a portion of volumetric seismic data of a subsurface environment and render a mesh for a multi-dimensional geobody in the subsurface environment wherein the mesh is generated based on reception of points selected via an interpretation process that delineates a boundary representative of the multi-dimensional geobody in the subsurface environment and an approximation of an indicator function;
• responsive to selection of at least one additional point that delineates the boundary representative of the multi-dimensional geobody via the interpretation process, as based at least in part on the rendered visualization and the rendered mesh, receive the at least one additional point;
• partition the points and the at least one additional point;
• compute smooth compactly supported basis functions based at least in part on differential surface areas associated with the partitioned points and the at least one additional point;
• re-approximate the indicator function for the geobody based at least in part on the computed basis functions;
• based at least in part on values of the re-approximated indicator function, generate an updated mesh;
• render the updated mesh;
• and
• via continuation of the interpretation process based at least in part on the rendered updated mesh, generate a set of points wherein the set of points is representative of the multi-dimensional geobody.

One or more non-transitory computer-readable storage media comprising computer-executable instructions to instruct a computer to:

• render a visualization of at least a portion of volumetric seismic data of a subsurface environment and render a mesh for a multi-dimensional geobody in the subsurface environment wherein the mesh is generated based on reception of points selected via an interpretation process that delineates a boundary representative of the multi-dimensional geobody in the subsurface environment and an approximation of an indicator function;
• responsive to selection of at least one additional point that delineates the boundary representative of the multi-dimensional geobody via the interpretation process, as based at least in part on the rendered visualization and the rendered mesh, receive the at least one additional point;
• partition the points and the at least one additional point;
• compute smooth compactly supported basis functions based at least in part on differential surface areas associated with the partitioned points and the at least one additional point;
• re-approximate the indicator function for the geobody based at least in part on the computed basis functions;
• based at least in part on values of the re-approximated indicator function, generate an updated mesh;
• render the updated mesh;
• and
• via continuation of the interpretation process based at least in part on the rendered updated mesh, generate a set of points wherein the set of points is representative of the multi-dimensional geobody.