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GMP
2002
IEEE
163views Solid Modeling» more  GMP 2002»
13 years 9 months ago
Fair Triangle Mesh Generation with Discrete Elastica
Shin Yoshizawa, Alexander G. Belyaev
GMP
2002
IEEE
133views Solid Modeling» more  GMP 2002»
13 years 9 months ago
Non-Manifold Implicit Surfaces Based on Discontinuous Implicitization and Polygonization
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...
Shuntaro Yamazaki, Kiwamu Kase, Katsushi Ikeuchi
GMP
2002
IEEE
199views Solid Modeling» more  GMP 2002»
13 years 9 months ago
Hex-Dominant Mesh Generation with Directionality Control via Packing Rectangular Solid Cells
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)...
Soji Yamakawa, Kenji Shimada
GMP
2002
IEEE
123views Solid Modeling» more  GMP 2002»
13 years 9 months ago
Mesh Smoothing via Mean and Median Filtering Applied to Face Normals
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...
GMP
2002
IEEE
172views Solid Modeling» more  GMP 2002»
13 years 9 months ago
Classifying the Nonsingular Intersection Curve of Two Quadric Surfaces
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...
Changhe Tu, Wenping Wang, Jiaye Wang
GMP
2002
IEEE
103views Solid Modeling» more  GMP 2002»
13 years 9 months ago
Slicing and Contours Generation for Fabricating Heterogeneous Objects
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...
Y. K. Siu, S. T. Tan
GMP
2002
IEEE
164views Solid Modeling» more  GMP 2002»
13 years 9 months ago
Construct Piecewise Hermite Interpolation Surface with Blending Methods
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...
Xiao-Shan Gao, Ming Li
GMP
2002
IEEE
116views Solid Modeling» more  GMP 2002»
13 years 9 months ago
Applying Knowledge to Reverse Engineering Problems
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 ...
Robert B. Fisher
GMP
2002
IEEE
110views Solid Modeling» more  GMP 2002»
13 years 9 months ago
Acoustics Scattering on Arbitrary Manifold Surfaces
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...
Chandrajit L. Bajaj, Guoliang Xu, Joe D. Warren
GMP
2002
IEEE
13 years 9 months ago
The Minkowski Sum of Two Simple Surfaces Generated by Slope-Monotone Closed Curves
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...
Joon-Kyung Seong, Myung-Soo Kim, Kokichi Sugihara