Motion LoD (Level of Detail) is a preprocessing technique that generates multiple details of captured motion by eliminating joints. This LoD technique is applied to movie, game or VR environments for the purpose of improving speed of crowd animation. So fa ...
Let k be a field of characteristic /=2 and let W(k) be the Witt ring of k and L a finite extension of k. If L/k is a Galois extension, then the image of rL/k is contained in W(L)Gal(L/k) where rL/k:W(k)→W(L) is the canonical ring homomorphism. Rosenberg an ...
If phi is an excellent form, then it is possible to use the dimensions of the higher complements of phi to obtain an annihilating polynomial of phi of low degree. The main result of this paper is the construction of such a polynomial with the help of metho ...
Let K be a field of characteristic different from 2. It is known that a quadratic Pfister form over K is hyperbolic once it is isotropic. It is also known that the dimension of an anisotropic quadratic form over K belonging to a given power of the fundamen ...
This thesis deals with the study of G-forms and particulary the trace form of a G-Galois algebra. Let k be a field of characteristic not two. Let G be a finite group and L a G-Galois algebra over k. We define the trace form qL by qL(x, y) = TrL/k(xy) for a ...