Abstract: Methods and systems for modeling objects and object image data using medial atoms are disclosed. Objects and object image data can be modeled using medial atoms. Each medial atom includes at least two vectors having a common tail and extending towards an implied boundary of a model. The medial atoms may be aligned along one or more medial axes in the model. The model may include multiple sub-components, referred to as figures. The model and each of its figures may be represented in model-based and figure-based coordinates. The model may be automatically deformed into target image data using a hierarchy of geometric or probabilistic transformations.

Abstract: Systems and methods are disclosed for processing tubular objects in multi-dimensional images. The processing includes generating representations of tubular objects which enable subsequent analysis. Systems and methods for processing tubular objects in a multi-dimensional image include establishing a seed points in a multi-dimensional image, searching for an extremum point corresponding to a tubular object having a central curve of intensity extrema, and extracting a one-dimensional central track corresponding to the tubular object and extents corresponding to a plurality of cross-sections along the tubular object. A number of embodiments are presented which apply the systems and methods to a variety of imaging applications.

Abstract: Methods and systems for modeling objects and object image data using medial atoms are disclosed. Objects and object image data can be modeled using medial atoms. Each medial atom includes at least two vectors having a common tail and extending towards an implied boundary of a model. The medial atoms may be aligned along one or more medial axes in the model. The model may include multiple sub-components, referred to as figures. The model and each of its figures may be represented in model-based and figure-based coordinates. The model may be automatically deformed into target image data using a hierarchy of geometric or probabilistic transformations.

Abstract: Systems and methods are disclosed for processing tubular objects in multi-dimensional images. The processing includes generating representations of tubular objects which enable subsequent analysis. Systems and methods for processing tubular objects in a multi-dimensional image include establishing a seed points in a multi-dimensional image, searching for an extremum point corresponding to a tubular object having a central curve of intensity extrema, and extracting a one-dimensional central track corresponding to the tubular object and extents corresponding to a plurality of cross-sections along the tubular object. A number of embodiments are presented which apply the systems and methods to a variety of imaging applications.

Abstract: Methods, systems, and computer program products are provided for automatic image recognition of standard shapes which include a core-based deformable loci skeletal grid used to define and represent an object via a model template. The template includes deformable segments, the changes of which are measurable against the deformed model corresponding to an object in a subsequent image. Statistical correlation techniques optimize the match to further refine the shape of the subsequent image.

Abstract: A three dimensional display utilizes a varifocal vibrating mirror which reflects the screen on a CRT. The varifocal mirror is vibrated at a rate synchronous with creation of frames on the point plotting CRT. A video source is utilized of the type having red, green and blue outputs utilized for normally creating color display. However, the coding is such that what would normally be interpreted as red, green and blue outputs of the video source are instead interpreted as x position, y position and intensity information for a CRT accepting x, y and i signals. A depth or z coordinate is implicitly encoded in the video source at the position within a single frame of the video source where the corresponding (x, y and i) values are stored. This position can be the relative position on a magnetic or optical disc, or position around a magnetic drum. In one embodiment of the invention a raster graphics system utilizing a frame buffer is utilized.