Computing Moments of Piecewise Polynomial Surfaces
نویسندگان
چکیده
Combining the advantages of a low-degree polynomial surface representation with Gauss' divergence theorem allows efficient and exact calculation of the moments of objects enclosed by a free-form surface. Volume, center of mass and the inertia tensor can be computed in seconds even for complex objects with 105 patches while changes due to local modification of the surface geometry can be computed in real time as feedback for animation or design. Speed and simplicity of the approach allow solving the inverse problem of modelling to match prescribed moments.
منابع مشابه
Chapter 3: Piecewise Polynomial Curves and Surfaces (Finite Elements)
1 Piecewise Polynomials 2 1.1 Barycentric and Bernstein-Bézier Bases . . . . . . . . . . . . . . . . . . . . . . . . . 2 1.2 B-Spline Basis . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 6 1.3 Trimmed Freeform Patches . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8 1.4 Implicit Algebraic Surface Patches . . . . . . . . . . . . . . . . . . . . . ....
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