The present invention provides a method and apparatus for logging an earth
formation and acquiring subsurface information wherein a logging tool is
conveyed in borehole to obtain parameters of interest. The parameters of
interest obtained may be density, acoustic, magnetic or electrical values
as known in the art. The parameters of interest may be transmitted to the
surface at a plurality of resolutions using a multi-resolution image
compression method. Parameters of interest are formed into a plurality of
Cost Functions from which Regions of Interest are determined to resolve
characteristics of the Features of interest within the Regions. Feature
characteristics may be determined to obtain time or depth positions of
bed boundaries and borehole Dip Angle relative to subsurface structures,
as well borehole and subsurface structure orientation. Characteristics of
the Features include time, depth, and geometries of the subsurface such
as structural dip, thickness, and lithologies.