Geometry Images

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Interior Parameterization ►L2 Geometric-stretch metric • Simplified M’ into progressive mesh. [Sander et al 2001] [Sander et al 2002] • From base mesh, apply vertex splits to successfully refine the mesh. • For each inserted vertex, minimize stretch using a local, non-linear optimization algorithm.
Stretch parametrization Previous metrics (Floater, harmonic, uniform, …)
Page 1 and 2: Geometry Images Xianfeng Gu Harvard
Page 3 and 4: Texture mapping Vertex 1 x 1 y 1 z
Page 5 and 6: Geometry Image
Page 7 and 8: Geometry Image ►Advantages: • O
Page 9 and 10: Basic idea cut sample
Page 11 and 12: Creation of Geometry Images Overvie
Page 13: Boundary Parameterization a a’ a
Page 17 and 18: Cutting sphere in 3D 2D surface dis
Page 19 and 20: Surface cutting algorithm (1) Find
Page 21 and 22: Results of Step 1 genus 6 genus 3 g
Page 23 and 24: Step 2: Augment cut …iterate whil
Page 25 and 26: Sample geometry image
Page 27 and 28: Rendering with attributes geometry
Page 29 and 30: normal-map 512x512 Results 257x257
Page 31 and 32: Mip-mapping 257x257 129x129 65x65
Page 33 and 34: Compression Image wavelet-coder 295
Page 35 and 36: PSNR (dB) Rate distortion 90 85 Kho
Page 37 and 38: Summary • Simple rendering: compa
Page 39: Future work ►Better cutting algor

Geometry Images

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