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A new kind of interpolation splines with a shape parameter over the algebraic trigonometric function space Ω=span {1, t, sint, cost, sint2t, cos2t} is presented, which are called cubic algebraic trigonometric splines. The cubic algebraic trigonometric splines have many similar properties to cubic B-splines. The corresponding spline curves and surfaces can interpolate directly some control points without...
We aim at employing a reflection type tactile sensor as sensors of robot fingers. The sensor measures deformation of its contact surface by capturing reflection images and solving an inverse problem. In order to solve it, we formulate a new method of shape reconstruction expanding to three dimensional surface deformation. We evaluated our proposed method by reconstructing the deformed surface from...
A basic problem may be often encountered when people construct smooth surface that interpolates the given curve meshes. In general, object surface can be divided into triangular and quadrangular areas by the given curve meshes. The problem is that while the methods satisfy the continuity and interpolation requirements, they often fail to produce pleasing shapes, or in reverse to the condition. In...
A new technique for the reconstruction of a smooth surface from a set of 3D data points is presented. The reconstructed surface is represented by an everywhere C1-continuous subdivision surface which interpolates all the given data points. The new technique consists of two major steps. First, an efficient surface reconstruction method is applied to produce a polyhedral approximation to the given data...
Implicit surface representation is well suited for surface reconstruction from a large amount of 3D noisy data points with non-uniform sampling density. Previous 3D non-rigid model registration methods can only be applied to the mesh or volume representations, but not directly to implicit surfaces. To our best knowledge, the previous 3D registration methods for implicit surfaces can only handle rigid...
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