A geometric approach to the computation of precise or well approximated tolerance zones for CAD constructions is given. We continue a previous study of linear constructions and fr...
Helmut Pottmann, Boris Odehnal, Martin Peternell, ...
A computer graphics object reconstructed from real-world data often contains undesirable noise and small-scale oscillations. An important problem is how to remove the noise and os...
Yutaka Ohtake, Alexander G. Belyaev, Ilia A. Bogae...
This paper is concerned with “open kernel” geometric modelling systems. It uses industrial needs to identify requirements for the geometric objects of a proposed interface. Th...
Alan E. Middleditch, Chris Reade, Abel J. P. Gomes
Implicit surfaces in 3D geometric modeling are limited to two manifolds because the corresponding implicit fields are usually defined by real-valued functions which bisect space...
A new computational method that creates a hex-dominant mesh of an arbitrary 3D geometric domain is presented. The proposed method generates a high-quality hexdominant mesh by: (1)...
In this paper, we introduce iterative mean and median filtering schemes for smoothing noisy 3D shapes given as triangle meshes. Our main idea consists of applying mean and median...
Hirokazu Yagou, Yutaka Ohtake, Alexander G. Belyae...
We present new results on classifying the morphology of the nonsingular intersection curve of two quadrics by studying the roots of the characteristic equation, or the discriminan...
A contour sub-division algorithm on each layer arising from slicing a heterogeneous object is proposed. Within each slice, the material grading is decomposed into subcontours acco...
Three methods are proposed to construct a piecewise Hermite interpolation surface (PHIS), which is a piecewise algebraic surface interpolating a set of given points with associated...