| C. Chua and U. Neumann. Hardware Accelerated Free Form Deformation. SIGGRAPH-EUROGRAPHICS Workshop On Graphics Hardware 2000, pp. 33-39. |
....position of the sampling points along the viewing ray, which is irrelevant according to sampling theory. However, object aligned slices might produce visual artifacts when switching between orthogonal slice stacks. 2. 2 Deformation Models Apart of the large variety of deformable surface models [19, 5, 13, 4], only few approaches on volume deformation have yet been developed. We again focus our interest on interactive algorithms. In 1995 Kurzion and Yagel [10] provided the basis for interesting space deformation algorithms by introducing ray deflectors. This concept allows the bending of viewing rays ....
C. Chua and U. Neumann. Hardware-Accelerated Free-Form Deformations. In Proc. SIGGRAPH /Eurographics Workshop on Graphics Hardware, 2000.
....the variants of the FFD, EFFD retains the mathematical simplicity of the FFD and yet is able to use more complex lattice shapes compared to the original FFD method. In addition, we show in our previous work that the EFFD technique can be hardware accelerated in front of a standard OpenGL pipeline [28]. A description of EFFD is outlined in Section 4. The third layer is the mesh refinement system. We chose to work with a triangular mesh representation since graphics pipelines render triangular meshes directly. In order to maintain representation accuracy while minimizing the total number of ....
....of P ,j,k to Pi 3,j 3, 3. Since this is a 3 D vector equation, we have one equation from each dimension, and 3 unknowns, namely (s,t,u) We use a Newton Raphson root finding method with initial guess 0. 5 to find (s,t,u) For a more detailed explanation of the EFFD process and properties, refer to [5, 6, 7, 28]. 4.2 Lattice Translation Table Our formulation of the FFD equation (Equation 1) uses the uniform cubic B spline basis functions. The parameterized point depends on a 4x4x4 set of local lattice points that surround the object point. A 4x4x4 lattice grid is required to deform a cell volume within ....
C. Chua and U. Neumann. Hardware Accelerated Free Form Deformation. SIGGRAPH-EUROGRAPHICS Workshop On Graphics Hardware 2000, pp. 33-39.
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