Topography information data processing method and apparatus based on manifold corresponding thereto
AssigneeMonolith Co., Ltd.
InventorTosiyasu Laurence Kunii
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Abstract
A topography information data processing system acquires ground surface data which represents bumps and hollows on the ground, generates manifold data which represents the shape of the manifold that encloses the bumps and hollows on the ground based on the ground surface data, and acquires topological geometric data applying the Morse theory to the manifold data. A new type of geographic information data representation is provided by using topological geometric data generated based on the Morse theory known in differential geometry and differential topology. Geographic information data suitable to be stored in a recording medium or to be transmitted through a network is provided.
Claims21
A topography information data processing method comprising:
- acquiring ground surface data which represents a shape of an uneven ground surface;
- generating manifold data which represents a shape of a manifold that encloses said uneven ground surface based on said ground surface data;
- and
- acquiring topological geometric data from said manifold data.
A topography information data processing method comprising:
- acquiring discrete topography data having height or depth of an uneven ground surface;
- generating manifold data which represents a shape of a manifold that encloses said uneven ground surface based on said discrete topography data;
- and
- acquiring topological geometric data from said manifold data.
A topography information data processing apparatus comprising:
- a data inputting device to acquire ground surface data which represents a shape of an uneven ground surface;
- a preprocessor to generate manifold data which represents a shape of a manifold that encloses said uneven ground surface based on said ground surface data;
- and
- a modeling unit to obtain topological geometric data from said manifold data.
Dependencies are inferred from the claim text.