Abstract: An image processing device for realizing more realistic pictures of explosions in video game devices and the like. Objects displaying such pictures of explosions are formed of spherical polygons (R1, R2, R3, . . . ) and planar polygons (S1, S2, S3, . . . ). Pictures of explosions are realized by alternately arranging these spherical polygons and planar polygons with the lapse in time. Preferably, pictures of polygons are realized by arranging the spherical polygons in layers on the boundary of the planar polygons.

Abstract: In an image processing device composed such that it can display a prescribed object whilst changing the shape of the object. Furthermore, the image processing device includes a first memory for recording information for first polygons which form the object; a second memory for recording information for second polygons that form the object and are linked to the first polygons; and when the shape of the object is changed, the shapes of the second polygons are changed such that no gaps are produced between the first polygons and the second polygons. Using computer graphics in a video game it is possible to achieve a more realistic object representation, wherein joint regions move in a natural manner.

Abstract: In an image processing device composed such that it can display a prescribed object whilst changing the shape of said object, there are provided: a first memory for recording information for first polygons 201 which form said object, and a second memory for recording information for second polygons 202, which form said object and are linked to said first polygons; and when the shape of said object is changed, the shapes of said second polygons are changed such that no gaps are produced between said first polygons 201 and said second polygons 202.

Abstract: In an image processing device composed such that it can display a prescribed object whilst changing the shape of said object, there are provided: a first memory for recording information for first polygons 201 which form said object, and a second memory for recording information for second polygons 202, which form said object and are linked to said first polygons; and when the shape of said object is changed, the shapes of said second polygons are changed such that no gaps are produced between said first polygons 201 and said second polygons 202.

Abstract: In an image processing device composed such that it can display a prescribed object whilst changing the shape of said object, there are provided: a first memory for recording information for first polygons 201 which form said object, and a second memory for recording information for second polygons 202, which form said object and are linked to said first polygons; and when the shape of said object is changed, the shapes of said second polygons are changed such that no gaps are produced between said first polygons 201 and said second polygons 202.

Abstract: The present Invention provides image generating technology capable of expressing a complex yet natural movement of the characters with less image data regardless of the playback speed.

Abstract: There is provided a game system in which a virtual object such as a car is moved in virtual surroundings on a screen of a display. The system comprises an input device for providing from a player operating information concerning an expected motion of the object and an element for simulating the motion of the object in response to the provided information and in consideration of interaction forces between the object and the surroundings. The interaction forces are operated at least two positions of the object. The simulated results of the object Is displayed on the screen of the display.

Abstract: A control method and apparatus incorporate a network model simulating hydraulic phenomena within a water distribution network whereby the pressures and flow rates within the water distribution network are controlled by an optimizing unit for inputting the current total demand as a model input and computing manipulated variables or control amounts for optimizing the pressures and flow rates in accordance with a network algorithm and a correction computing unit for computing the necessary control amount correction values for correcting the deviations from the estimated pressures and flow rates in accordance with a sensitivity matrix indicating the effects of variations in the control amounts on the pressures and flow rates.