Mesh Basics

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Exercise The half-edge data structure is an extension to the winged-edge data structure, and is more popular and widely used today. It splits each edge into two, each of which is referred to as an half-edge. Search the web to learn more about this data structure. An open source software, Open<strong>Mesh</strong>, developed by Prof. Leif Kobbelt, is available here: www.openmesh.org org 44
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Page 1 and 2: Mesh Basics Spring 2010 1
Page 3 and 4: Definitions: 2/2 A mesh is a manif
Page 5 and 6: Manifolds with/without Boundary If
Page 7 and 8: Non-Orientable Manifolds: 2/2 The K
Page 9 and 10: Mesh Examples: 2/2 Vertices: 703 Ed
Page 11 and 12: Euler-Poincaré Characteristic: 2/5
Page 13 and 14: Euler-Poincaré Characteristic: 4/5
Page 15 and 16: Homeomorphisms: 1/3 Two 2-manifold
Page 17 and 18: Homeomorphisms: 3/3 Hence, any orie
Page 19 and 20: Applications: 2/3 Only a torus can
Page 21 and 22: Data Structures for Meshes Since me
Page 23 and 24: What Is a Winged-Edge? 2/7 If all f
Page 25 and 26: What Is a Winged-Edge? 4/7 If all f
Page 27 and 28: What Is a Winged-Edge? 6/7 Start Ve
Page 29 and 30: The Winged-Edge Data Structure: 1/6
Page 35 and 36: Inquiry Example 1: 1/4 Find all inc
Page 37 and 38: Inquiry Example 1: 3/4 Here is a po
Page 39 and 40: Inquiry Example 2: 1/4 Find all edg
Page 41 and 42: Inquiry Example 2: 3/4 Since the me
Page 43: Discussions Both examples list elem

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