Abstract: A system for displaying an image where all or part of an image is generated as an aggregation of very small regions uses, a random number assigned to each very small region so as to change the color or brightness of each very small region when uniform random numbers are generated, the range within which the uniform random numbers are generated is specified by the operator. When the random numbers are generated in accordance with a distributed function, the average value and dispersion value are similarly specified by the operator, so that the image can be more realistically displayed.

Abstract: Hair models of human or, animal hairs are displayed on a display screen using a three-dimensional computer graphics technique. Each human hair model is constructed of a plurality of rod-shaped hair elements. The magnitude and direction of an external force applied to each hair element are designated. A deformation quantity of each hair element is obtained such that the external force having the designated magnitude and direction equilibrates with an internal force generated by the rigidity of each hair element. The shape of each hair model is determined in accordance with obtained deformation quantities, for display of the shape of each hair model. The hair model can be displayed man-machine interactively.

Abstract: A display apparatus and a modelling method for computer graphics includes a first memory for storing a first three-dimensional model, a detailed model, of a body represented by at least one of desired first number of dimensions, a desired first number of parameters and desired first parametric quantities, an arithmetic unit for arithmetically determining a second three-dimensional model, a simplified model, by varying at least one of the first number of dimensions, the first number of parameters and the first parametric quantities to at least one of a second number of dimensions, a second number of parameters and second parametric quantities in accordance with an algorithm for thereby creating automatically a simplified model for a body of less importance. A second memory stores the simplified model. A selector selects the first three-dimensional model or the second three-dimensional model by reference to a preset index for evaluation.

Abstract: A pattern processing method is provided which performs the following steps with regard to a region in an n-dimensional space: providing a procedure (relative expression procedure) for generating relative positional data of any desired point in the n-dimensional space with respect to the region by the use of a series of data determining the region (the relative positional data including data indicating whether the point is inside or outside the region, the distance from the point to the boundary of the region, etc.

Abstract: A biological image formation aiding system and a biological image forming method are provided in which three-dimensional data corresponding to a standard shape of a biological article, standard motion thereof, and a standard material feeling of an outer surface of the biological article are prepared, and a realistic three-dimensional synthesized image of an entire biological article with individuality can be formed simply.

Abstract: A display apparatus and a modelling method for computer graphics includes a first memory for storing a first three-dimensional model, a detailed model, of a body represented by at least one of desired first number of dimensions, a desired first number of parameters and desired first parametric quantities, an arithmetic unit for arithmetically determining a second three-dimensional model, a simplified model, by varying at least one of the first number of dimensions, the first number of parameters and the first parametric quantities to at least one of a second number of dimensions, a second number of parameters and second parametric quantities in accordance with an algorithm for thereby creating automatically a simplified model for a body of less importance. A second memory stores the simplified model. A selector selects the first three-dimensional model or the second three-dimensional model by reference to a preset index for evaluation.

Abstract: A three-dimensional shape of an object is recognized by developing enveloping surfaces of the object by a cone-silhouetting method, wherein the object is picked up by a binocular three-dimensional vision method by making use of geometrical restraint conditions derived by the cone-silhouetting method. The binocular parallax is increased to thereby ensure the recognition of the three-dimensional shape with improved accuracy. Local concave portions which can not be recognized by the cone-silhouetting method by itself are recognized with higher accuracy.

Abstract: In order to achieve an interpolation display of a display object existing between two adjacent planes according to the triangulation when digital data on the two adjacent planes is given, the data items on the two planes are grouped into a plurality of connected components, respectively, and several connected components on the first plane are projected onto the connected components on the second plane. Thereafter, a sequence of points enclosing each one of the projected components are selected, and the selected point sequence is corresponded to a sequence of boundary points which enclose one of the connected components which contains the subcomponent whose projected image onto the connected components on the second plane is equal to the projected component. Then, by using every corresponding pairs of the sequences, the triangular faces are generated.