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In the two-dimensional rotor-router walk (defined by Jim Propp and presented beautifully in [4]), the first time a particle leaves a site x it departs east; the next time this or another particle leav...
We present a novel method for texture synthesis on surfaces from examples. We consider a very general type of textures, including color, transparency and displacements. Our method synthesizes the text...
Algorithmic shape modeling with subdivision surfaces
Procedural models Multi-scale surfaces Catmull–Clark subdivision Shape blending Warping and morphing Fractals Signal mesh processing
2015/7/15
We present methods for synthesizing 3D shape features on subdivision surfaces using multi-scale procedural techniques. Multi-scale synthesis is a powerful approach for creating surfaces with different...
In this study, shape optimisation of cantilever beams has been carried out using neural network. Considering different geometrical parameters, finite element analyses of cantilever beams are carried o...
The Shape Parameter in the Shifted Surface Spline
The Shape Parameter Shifted Surface Spline
2010/11/8
There is a constant c contained in the famous radial basis function shifted surface spline. It's called shape parameter. RBF people only know that this constant is very influential, while its optimal ...
Minimax estimation of the scale parameter of the selected gamma population with arbitrary known shape parameter
Exponential Family Family of transformed chi-square distributions
2010/9/17
Let X1, X2 be independent random variables from gamma populations Π1,Π2 with common arbitrary known shape parameter α and unknown scale parameters θ1, θ2 respectively. Suppose X(1), X(2) be the order ...
The Spread of the Shape Operator as Conformal Invariant
Principal curvatures Shape operator Extrinsic scalar curvature Surfaces of rotation
2008/6/26
The notion the spread of a matrix was first introduced fifty years ago in algebra. In this article, we define the spread of the shape operator by applying the same idea to submanifolds of Riemannian m...