Titova O. Geometrical modeling of discretely represented surfaces on a base of adaptive orthonormation of polynoms

An object are the processes, the information about which has by the discrete character and reflects their differential features; a target is development of a method and algorithms of construction of the geometrical models satisfying set item and differential conditions, on the basis of adaptive orthonormation of polynoms; methods - solutions of tasks is carried out on the basis of methods of the applied geometry, the functional analysis and computer graphics; theoretical and practical results - the method of analytical representation of spatial forms on the basis of discrete item and differential conditions is developed; scientific novelty - for the first time the method of construction of interpolative varieties with the set item and differential properties on the basis of adaptive orthonormation of polynoms is offered, for the first time the way of construction of interpolative-approximate surface by the mixed criterion of approach is offered, for the first time the way of solution of heat conductivity tasks with discrete and discrete-continuous boundary conditions is offered; degree of adoption - the results of investignation are introduced in KB of Open Society ''MZTG'' (Melitopol), carload depot of Melitopol station of the Dnepr railway (Melitopol); sphere of utilization- the processes of heat conductivity with discrete entrance data.