Given a smooth compact codimension one submanifold S of Rk and a compact approximation K of S, we prove that it is possible to reconstruct S and to approximate the medial axis of S with topological guarantees using unions of balls centered on K . We consider two notions of noisy-approximation that generalize sampling conditions introduced by Amenta et al. and Dey et al. The first one generalize...

background: osteoporosis is a serious public health. since the majority of bone mass occurs during adolescence, primary prevention  is important. probably mother’s participation in health education interventions leads to promote health behaviors in children. to assess a lifestyle modifcation intervention focused on mothers and students has an impact on osteoporosis preventive  behaviors in adol...