Mesh Basics

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Inquiry Example 2: 2/4 Suppose we wish to list the edges in counter clock-wise order. The given face should always be on the left hand side of each edge. counter clock-wise 40
Inquiry Example 2: 3/4 Since the meaning of “left” and “right” face of an edge is based on that edge’s orientation, we have to find the true meaning of “to the left” of an edge when traversing. right face of current edge use right predecessor left face of current edge use left predecessor 41
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: Inquiry Example 2: 1/4 Find all edg
Page 43 and 44: Discussions Both examples list elem
Page 45: The End 45

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