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...
This paper summarizes a series of recent research results made at Edinburgh University based on projects that apply domain knowledge of standard shapes and relationships to solve ...
We propose the use of surface subdivision as adaptive and higher-order boundary elements for solving a Helmholtz partial differential equation to calculate accurate acoustics sca...
We present an algorithm for computing Minkowski sums among surfaces of revolution and surfaces of linear extrusion, generated by slope-monotone closed curves. The special structur...