Method for using a computer graphics system for changing the shape of the surface of models of geometric solids with the aid of deformation and device for implementing same

Device for using a computer graphics system for changing the shape of the surfaces of models of geometric solids with the aid of deformation and producing a deformed shape of the surfaces of target models of at least a first and a second geometric solid, which geometric solids mate with one another during use as they move relative to one another, for subsequent production of said geometric solids, said device comprising:

• a central processor (17), which has, connected to one another, an internal memory (18) and an external memory (19) and which is capable of receiving, processing and storing updated and long-term information;
• an information input means (20), which is connected to the central processor;
• an information output means (21), which is connected to the central processor;
• the external memory (19) of the central processor (17), which external memory comprises at least a program for storing input data, including:
• a first set of coordinates imitating the movement of the first geometric solid (1), which mates, during use, with the second geometric solid (2) as they move relative to one another;
• a second set of coordinates imitating the movement of the second geometric solid (2), which mates with the first geometric solid (1) as they move relative to one another during use;
• several polynomials for use in the construction of the surfaces of models (31, 41) of semifinished products (3, 4) of the first and second geometric solids (1, 2) in the corresponding systems of coordinates on the basis of the characteristics in response to a user command;
• several polynomials for use in the automatic calculation of geometric data for each point on a directrix (5) and geometric data for each point on a generatrix (6), which directrix and generatrix form a surface defining the shape of a model (71) of at least one first tool (7), wherein in each polynomial at least one of the coefficients represents one of the several characteristics defining the geometry of the shape of the surface of the second geometric solid (2) in the second system of coordinates;
• the internal memory (18) of the central processor (17), which internal memory contains certain data and/or intermediate results which the processor (17) requires for its operation, including:
• several characteristics defining the geometry of the shape of the surface of the first geometric solid (1) in a first system of coordinates with the start of the coordinates at point O;
• several characteristics defining the geometry of the shape of the surface of the model (31) of the semifinished product (3) of the first geometric solid (1) in the first system of coordinates;
• several characteristics defining the geometry of the shape of the surface of the second geometric solid (2) in a second system of coordinates with the start of the coordinates at point A;
• several characteristics defining the geometry of the shape of the surface of the model (41) of the semifinished product (4) of the second geometric solid (2) in the second system of coordinates;
• the central processor (17), which is capable of performing the following steps:
• automatically calculating, in response to a user command, geometric data for each point on the surface which defines the geometry of the shape of the surface of the model (31) of the semifinished product (3) of the first geometric solid (1) in the first system of coordinates;
• automatically calculating, in response to a user command, geometric data for each point on the surface which defines the geometry of the shape of the surface of the model (41) of the semifinished product (4) of the second geometric solid (2) in the second system of coordinates;
• automatically calculating, in response to a user command, the geometric data for each point on the directrix (5) and the geometric data for each point on the generatrix (6), which directrix and generatrix form the surface defining the shape of the model (71) of the at least one first tool (7), which has at least part of the surface which imitates at least part of the surface of the second geometric solid (2);
• constructing the surfaces of the models (31, 41) of the semifinished products (3, 4) of the first and second geometric solids (1, 2) in the corresponding systems of coordinates on the basis of the geometric data produced in response to a user command;
• constructing the surface defining the shape of the model (71) of the at least one first tool (7) for controlling the deformation of the model (31) of the semifinished product (3) of the first geometric solid (1) in the second system of coordinates on the basis of the geometric data produced in response to a user command;
• applying a deformation to the model (31) of the semifinished product (3) of the first geometric solid (1) in response to a user command by moving, relative to one another, the model (71) of the at least one first tool (7) and the model (31) of the semifinished product (3) of the first geometric solid (1) so as to imitate the movement during use of the first geometric solid (1), which mates with the second geometric solid (2) as they move relative to one another, by introducing the model (71) of the at least one first tool (7) into the model (31) of the semifinished product (3) of the first geometric solid (1), and by changing the shape of the surface of the model (31) of the semifinished product (3) of the first geometric solid (1) with the aid of Boolean logic until the deformed shape of the surface of the target model (8) of the first geometric solid (1) is produced, which deformed shape has the several characteristics defining the geometry of the shape of the surface of the first geometric solid (1);
• determining and storing, in response to a user command, geometric data for each point on the surface defining the deformed shape of the surface of the target model (8) of the first solid (1) in the first system of coordinates;
• constructing the surface of the model (41) of the semifinished product (4) of the second geometric solid (2) in the second system of coordinates on the basis of the characteristics in response to a user command;
• using the target model (8) of the first geometric solid (1) which has the deformed shape of the surface as the model (101) of the at least one second tool (10) for controlling the deformation of the model (41) of the semifinshed product (4) of the second geometric solid (2);
• applying a deformation to the model (41) of the semifinished product (4) of the second geometric solid (2) in response to a user command by moving, relative to one another, the model (101) of the second tool (10) and the model (41) of the semifinished product (4) of the second geometric solid (2) so as to imitate the movement of the second geometric solid, which mates with the first geometric solid (1) as they move relative to one another during use, by introducing the model (101) of the second tool (10) into the model (41) of the semifinished product (4) of the second geometric solid (2), and by changing the shape of the surface of the model (41) of the semifinished product (4) of the second geometric solid (2) with the aid of Boolean logic until the deformed shape of the surface of the target model (9) of the second geometric solid (2) is produced, which target model has the several characteristics defining the geometry of the shape of the surface of the hypothetical first geometric solid (1);
• determining and storing, in response to a user command, geometric data for each point on the surface defining the deformed shape of the surface of the target model (9) of the second geometric solid (2) in the second system of coordinates.