Polyhedral subdivision methods for free-form surfaces.
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Polyhedral subdivision methods for free-form surfaces.

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Published by University of East Anglia in Norwich .
Written in English


Book details:

Edition Notes

Thesis(Ph.D.), University of East Anglia, School of Computing Studies and Accountancy, 1984.

ID Numbers
Open LibraryOL14506238M

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The only book devoted exclusively to subdivision techniques Covers practical topics including uniform Bezier and B-Spline curves, polyhedral meshes, Catmull-Clark subdivision for quad meshes and objects with sharp creases and pointed vertices A companion website provides example code and concept implementations of subdivision concepts in an Recursively subdividing polyhedral networks, often called polyhedral subdivision, has become one of the basic tools in Computer Aided Geometric Design(CAGD) for modeling complex :// Request PDF | Subdivision Surfaces and Applications | After a short introduction on the fundamentals of subdivision surfaces, the more advanced material of this chapter focuses on two main aspects In this paper we describe a new tool for interactive free-form fair surface design. By generalizing classical discrete Fourier analysis to two-dimensional discrete surface signals -- functions defined on polyhedral surfaces of arbitrary topology --, we reduce the problem of ?cid=

  Voxelization of Free-form Solids using Catmull-Clark Subdivision Surfaces Shuhua Lai and Fuhua (Frank) Cheng Graphics & Geometric Modeling Lab, Department of Computer Science University of Kentucky, Lexington, Kentucky Ma Abstract. A voxelization technique and its applications for objects with arbitrary topology are ~cheng/PUBL/voxel_gmppdf. This paper presents a marching method for computing intersection curves between two solids represented by subdivision surfaces of Catmull-Clark or Loop type. It can be used in trimming and boolean operations for subdivision surfaces. The main idea is to apply a marching method with geometric interpretation to trace the intersection ://   Construction of Smooth Surfaces by Piecewise Tensor Product Polynomials A. R. M. Piah A b s t r a c t. The aim of this paper is to construct surfaces with tangent plane continuity defined by tensor product polynomials over a meslI of rectangles, by subdividing the mesh and keeping the continuity conditions across mesh lines fixed. §://   Nasri, A. (), Polyhedral subdivision methods for free form surfaces, ACM Trans. Graphics 8(1), Nasri, A. (), Surface interpolation on irregular network with normal conditions, Computer Aided Geometric Design 8(1),

The simplified mesh is further used as the topological model of a Loop subdivision surface. The control vertices of the subdivision surface are finally fitted from a subset of vertices of the original dense mesh. During the fitting process, both the subdivision rules and position masks are used for setting up the observation ://   The fillet operations are implemented by subdividing a polyhedral network one step with given fillet values of edges of the polyhedral network. After fillet operations, we tried two basic recursive subdivision methods Doo-Sabin and Catmull-Clark to generate :// Corpus ID: An Adaptive Scheme for Subdivision Surfaces based on Triangular Meshes @inproceedings{LiuAnAS, title={An Adaptive Scheme for Subdivision Surfaces based on Triangular Meshes}, author={Weizhong Liu and K. Kondo}, year={} }   Subdivision surfaces naturally admit arbitrary surface topologies. They were this book represents the first comprehensive description of subdivision methods. However, the book is not simply a collection of material that can be found in the Linear Subdivision for Polyhedral Meshes