Abstract: When a fixed polygonal plane patch is called a polygonal plane patch of level 0 and when each vertex of such polygonal plane patch is called a shape composition point of level 0, a normal line of level 0 is set on each shape composition point of level 0, and each normal line of level 0 is decomposed on an equivalent tangent plane to the normal line of level 0. Moreover, a tangent line of level 0 is set by a decomposition in a direction equal to or in the vicinity of the edge of the polygonal plane patch of level 0; and based upon two tangent lines of level 0, a normal line is set on a shape composition point and on a shape composition point of level 1. A plane shape is formed by repeated controls of the above one after another.

Abstract: When a fixed polygonal plane patch is called a polygonal plane patch of level 0 and when each vertex of such polygonal plane patch is called a shape composition point of level 0, a normal line of level 0 is set on each shape composition point of level 0, and each normal line of level 0 is decomposed on an equivalent tangent plane to the normal line of level 0. Moreover, a tangent line of level 0 is set by a decomposition in a direction equal to or in the vicinity of the edge of the polygonal plane patch of level 0; and based upon two tangent lines of level 0, a normal line is set on a shape composition point and on a shape composition point of level 1. A plane shape is formed by repeated controls of the above one after another.

Abstract: Enlarged image display by Jpeg is possible by a browser, compared to the Jpeg image processing. It is, however, difficult for the user to actually create an image of a scale desired by the user even if the image is visually large, since the scale is fixed. If such a request is made, it is necessary to create an image of each required scale. It is possible to view a large image because the scale of image can be varied by the wavelet conversion based on extension mapping proposed here. It is, here, easy for the user to create an image of a scale desired by the user. The image of each scale does not need to be created; and since an image of an arbitrary scale can be created from one image, an image of extension mapping can be readily created in response to the user's request. With an image processing mechanism having such a function, a unique, novel dynamic image database can readily and freely be built.

Abstract: The present invention relates to a processing of a 3D shape which is constructed as polyhedron, a curved surface body, a freely forming shape, and a general complex shape body including a compound shape body; by using mainly a basic triangle shape FACET. In this case, a compound and/or complex shape body is constructed by means of direct embedding a curved surface structure in a polyhedron structure as a maternal body. And moreover, this invention relates to a technology of a shape processing for a plane-like image. A plane-like image processing is fundamentally regarded as a display process of a 3D shape. In the case of a 3D shape processing, by this nested embedding structure, the generating and/or displaying process of a target shape is realized as one of the consistent unified processing.

Abstract: A presentation method of a three dimensional (3D) shape comprising: a view point and a display screen setting step including setting a view point and a display screen in space; a direction of sight, that is a view direction, setting step including setting a view line, that is a line-of-sight, from the view point; a target shape composing point detecting step including detecting a shape composing point near the set view line; an image of the target shape on a display screen constructing step including constructing an image of the target shape as a point of display screen as projecting points of the target shape.

Abstract: A form creating system providing a free access to a form to be created through the whole process from its first or design step to its final or manufacturing step. In this system, the position of a third point and the direction of a third straight line are first decided in accordance with the positions of first and second points as well as the directions of the first and second lines, and then such third points are connected successively to create a desired form.

Abstract: An improved unique form creating system is disclosed which provides for free access to a form to be created throughout its whole process ranging from its first step or model design step to its final step or manufacturing step.There are also similar devices such as a device which is capable of easily detecting the position of an intersection point between a predetermined straight line and a predetermined plane, a device capable of cutting a predetermined plane linearly or curvedly to provide its sectional face with ease, a device capable of easily finding a contour line of intersection of bodies, i.e., a continuum of intersection points between a predetermined surface and its partner surface, or a controlling or processing device operable based on each of the above-mentioned devices.A predetermined surface is divided into a predetermined number of surfaces to detect an intersection point of the predetermined surface with a predetermined straight line out of the thus-divided surfaces.