Abstract: Disclosed is a method for data synchronization and update conflict resolution between mobile clients and a server in a mobile system which maintains consistency of data between the clients and the server and enables the clients to continuously perform an effective update operation with respect to objects of the server even in a clients' disconnection state by the mobile clients performing an independent update operation with respect to disjoint fragments and associated objects for a specified object using the structure of the objects and the meaning of applications and then performing the data synchronization and the conflict resolution between the clients and the server during a reconnection operation.

Abstract: The present invention provides a method for morphing different geometric shapes while not using algebraic characteristics and overcoming inefficiency of Minkowski sum computation. The method for geometric shape morphing by using direction map so as to smoothly morph more than two different geometric shapes includes the steps of: a) extracting each direction map of the geometric shape; b) merging the direction maps; c) scaling the merged direction map by group; and d) generating a polygon by using an inverse function of a direction map.

Abstract: The present invention provides a method for morphing different geometric shapes while not using algebraic characteristics and overcoming inefficiency of Minkowski sum computation. The method for geometric shape morphing by using direction map so as to smoothly morph more than two different geometric shapes includes the steps of: a) extracting each direction map of the geometric shape; b) merging the direction maps; c) scaling the merged direction map by group; and d) generating a polygon by using an inverse function of a direction map.

Abstract: A system and method for automatically generating documents used in an Internet e-business environment. In the present invention, using document components that may be jointly used between e-business systems and that are stored in a document component library, a document generation rule formulating tool based on a graphic user interface is employed to generate business documents. Document components are assembled based on these rules, after which context rules are applied to revise the assembled components to match desired conditions to thereby generate grammar neutral documents. Finally, conversion is performed into grammar for a specific business system to generate business documents. As a result, the differences between business systems are overcome, and the re-usability of business documents is maximized to enable e-business to be performed efficiently.

Abstract: Disclosed is a method for data synchronization and update conflict resolution between mobile clients and a server in a mobile system which maintains consistency of data between the clients and the server and enables the clients to continuously perform an effective update operation with respect to objects of the server even in a clients' disconnection state by the mobile clients performing an independent update operation with respect to disjoint fragments and associated objects for a specified object using the structure of the objects and the meaning of applications and then performing the data synchronization and the conflict resolution between the clients and the server during a reconnection operation.