Abstract: This invention presents methods and systems for generating and handling a harmonized network of points. More generally, this invention reorganizes and optimizes a network of points in terms of spatial distribution regularity. Implementations may allow users to manipulate the network of points while maintaining the organization of the network of points. The network of points can define a surface, which can include Béziers and Nurbs three-dimensional surfaces. The surface can be used in a CAD system.

Abstract: A method, apparatus and system for allowing an end-user to define at run-time the way an object in the system will react to existing operations, or events, that are later performed on the object. In the system of the invention, the end-user can attach to the object code specifying behavior that the user wishes the object to exhibit from that point forward. The code defining the new or additional behavioral features will be interpreted by the applications software so that each time an event or operation is performed on the object, the system will recognize that the object has user-specified behavior associated therewith. The code remains associated with the object. In the system of the invention, there is no need to exit the application software. The new code specifying the desired behavior is immediately callable and executable by the system upon being input.