Subdivision Surfaces and Mesh Data Structures

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<strong>Subdivision</strong> Smoothness To determine the smoothness of the subdivision: • Repeatedly apply the subdivision scheme • Look at the neighborhood in the limit. Monday, November 19, 12 Computing infinitely many iterations is computationally prohibitive!!! …
<strong>Subdivision</strong> Matrix • Compute the new positions/vertices as a linear Monday, November 19, 12 combination of previous ones. p 5 p 4 p 6 p 0 p 3 p 1 p 4’ p 3’ p2 p5’ p0’ p 6’ p 1’ p 2’
Page 1 and 2: Subdivision Surfaces Jason Lawrence
Page 3 and 4: Subdivision • How do you make a s
Page 5 and 6: Subdivision Surfaces • Coarse mes
Page 7 and 8: General Subdivision Scheme • How
Page 9 and 10: Loop Subdivision Scheme • How to
Page 11 and 12: Loop Subdivision Scheme • General
Page 13 and 14: Loop Subdivision Scheme • How to
Page 15 and 16: Boundary Cases? • Rules for extra
Page 17 and 18: Loop Subdivision Scheme Zorin & Sch
Page 19 and 20: Subdivision Schemes • There are d
Page 21 and 22: Key Questions • How to refine the
Page 23 and 24: Subdivision Smoothness To determine
Page 31: Subdivision Smoothness To determine
Page 35 and 36: Subdivision Matrix • Compute the
Page 37 and 38: Key Questions • How to refine the
Page 39 and 40: Independent Faces • Each face lis
Page 41 and 42: Vertex and Face Tables • Each fac
Page 43 and 44: Vertex and Face Tables • Each fac
Page 45 and 46: Adjacency Lists • Store all verte
Page 47 and 48: Partial Adjacency Lists • Can we
Page 49 and 50: Winged Edge • Example: Monday, No
Page 51 and 52: Winged Edge • Example: Find CCW e
Page 53 and 54: Winged Edge • Example: Find CCW e
Page 55: Winged Edge • Example: Find CCW e

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