NDLI: Interpolatory /spl radic/2-subdivision surfaces

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Geometric Modeling and Processing, 2004. Proceedings

Proceedings. Geometric Modeling and Processing 2004

Proceedings Geometric Modeling and Processing 2004

Geometric Modeling and Processing 2004 Table of contents

Additional reviewers

The fractal nature of Bezier curves

Overview of recent work on geometry images

Surface processing by partial differential equation

Chord length (motivated) parameterization of marching cubes isosurfaces

Knot choosing by accommodating the first derivative constraint

Intersecting a freeform surface with a ruled or a ringed surface

On convergence of the control polygons series of C-Bezier curves

Smooth trimmed NURBS surface connection with tension control

Existence of the normalized B-basis and a practical construction method of the B-algorithm

Some estimates of the height of rational Bernstein-Bezier triangular surfaces

Shape-preserving MQ-B-splines quasi-interpolation

Rational quadratic approximation to real plane algebraic curves

Surface interpolation of meshes with shape optimization

Bivariate cubic spline space and bivariate cubic NURBS surfaces

A hybrid method for fast computing the curvature scale space image

Analyzing and enhancing the robustness of implicit representations

Segmentation and parametrization of arbitrary polygon meshes

Triangular/quadrilateral remeshing of an arbitrary polygonal surface via packing bubbles

Feature based retargeting of parameterized geometry

Topology-free cut-and-paste editing over meshes

Interpolatory /spl radic/2-subdivision surfaces

Convergent discrete Laplace-Beltrami operators over triangular surfaces

Fast evaluation of the improved Loop's subdivision surfaces

Global curvature analysis and segmentation of volumetric data sets using trivariate B-spline functions

Topological volume skeletonization using adaptive tetrahedralization

Improved geometric constraints on deformable surface model for volumetric segmentation

Interpreting line drawings of objects with k-vertices

Shrinking: another method for surface reconstruction

Handling sectional views in volume-based approach to construct 3D solid from 2D views

Surface reconstruction with triangular B-splines

Efficient and stable numerical algorithms on equilibrium equations for geometric modeling

Recognition and reconstruction of developable surfaces from point

An engineering rules based parameterization approach for turbine blade reverse engineering

A fast NC simulation method for circularly moving tools in the Z-map environment

Theory of 2D nonseparable optimal m-band wavelets and its applications

Least squares ellipsoid specific fitting

G/sup 2/ continuity conditions for two adjacent B-spline surfaces

Adaptive multi-resolution fitting and its application to realistic head modeling

Three-axis NC cutter path generation for subdivision surface

M-band subdivision of bivariate B-splines of uniform partition in three directions

Efficient topology construction from triangle soup

Generalized NURBS curves and surfaces

BIUP/sup 3/: boundary topological invariant of 3D objects through front propagation at a constant speed

Optimal mesh signal transforms

Interpolatory convexity preserving subdivision schemes for curves

2003 International Conference on Geometric Modeling and Graphics, 2003. Proceedings

Geometric Modeling and Processing. Theory and Applications. GMP 2002. Proceedings

Proceedings Geometric Modeling and Processing 2000. Theory and Applications

Interpolatory /spl radic/2-subdivision surfaces

Content Provider	IEEE Xplore Digital Library
Author	Guiqing Li Weiyin Ma Hujun Bao
Copyright Year	2004
Description	Author affiliation: Dept. of MEEM, City Univ. of Hong Kong, China (Guiqing Li; Weiyin Ma)
Abstract	This paper presents a new interpolatory subdivision for quadrilateral meshes. The proposed scheme employs a /spl radic/2 split operator to refine a given control mesh such that the face number of the refined mesh is doubled after each refinement. For regular meshes, the smallest mask is chosen to calculate newly inserted vertices and special rules are developed to compute the F-vertices for irregular faces based on the Fourier analysis of block circulant matrices. Numerical analysis manifests that the scheme yields globally C1 continuous limit surfaces. Finally, an extension to arbitrary polygonal meshes is considered.
Starting Page	185
Ending Page	194
File Size	1816729
Page Count	10
File Format	PDF
ISBN	0769520782
DOI	10.1109/GMAP.2004.1290040
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2004-04-13
Publisher Place	China
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Numerical analysis Mesh generation Refining Geometry Pattern recognition Matrix decomposition Solid modeling
Content Type	Text
Resource Type	Article

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