Reverse subdivision consists in constructing a coarse mesh of a model from a finer mesh of this same model. In this paper, we give formulas for reverse Catmull-Clark subdivision. These formulas allow the constructing of a coarse mesh for almost all meshes. The condition for being able to apply these formulas is that the mesh to be reversed must be generated by the subdivision of a coarse mesh. ...

Abstract We characterize the noncommutative Aleksandrov–Clark measures and minimal realization formulas of contractive and, in particular, isometric rational multipliers Fock space. Here, full space over $\mathbb {C} ^d$ is defined as Hilbert square-summable power series several noncommuting (NC) formal variables, we interpret this multivariable analogue Hardy Taylor complex unit disk. further ...

It is now generally accepted that heifers can be effectively immunized against Campylobacter fetus infections (Firehammer & Berg, 1966; Newhall , 1966; Mitchell, 1968; Kendrick, Williams, Crenshaw & Vestal, 1971; Clark, Dufty & Monsbourgh, 1972 a; Clark, Dufty & Monsbourgh, 1972 b; Clark & Fitzpatrick, 1972; Clark, Dufty, Monsbourgh & Parsonson, 1976; Clark, Dufty & Monsbourgh, 1975). Mass prod...