The task of integral geometry with measure induction
Компьютерные исследования и моделирование Ижевск: Научно-издательский центр "Регулярная и хаотическая динамика", 2011 (in press). Vol. 3 (1). (accepted)
It is suggest new statement of Integral Geometry task where the image of function in each point is her integral by measure which depend at that point. Such Measure System named Measure Induction. It is seeing that inversion formula exist for class of measures which have unit atom in correspond point and limited on whole space. That generalized prior obtained results for average on systems of measurement dissections and for weight average on graphs.