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3D Complexity

by: Alayna Veum
Alayna Veum

GPA 3.81


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This 0 page Class Notes was uploaded by Alayna Veum on Monday November 2, 2015. The Class Notes belongs to CS 7491 at Georgia Institute of Technology - Main Campus taught by Staff in Fall. Since its upload, it has received 7 views. For similar materials see /class/234109/cs-7491-georgia-institute-of-technology-main-campus in ComputerScienence at Georgia Institute of Technology - Main Campus.

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Date Created: 11/02/15
CS7491 3D COMPLEXITY LECTURE NOTES FOR 12704 Gordon Brown amp Tazama St Julien Pre lecture Discussions 1 Compression vs Simpli cation Simpli cation can be a form of compression but not vice versa For example in 3D a convex hull can be simpler removed holes but geometrically it can be more complex Lecture Since the bulk of this lecture was delivered with the aid of a PowerPoint slide show we decided to scribe only the information which supplements the content of the slides Many of the slides are selfexplanatory so we have supplemental material below on only a subset of the slides Supplemental Material for the First Set of Slides The slides Compression simplification and progressive transmission of 3D models and animations are located at httpwwwgvugatecheduNjareldcourses749101Introppt Slide 4 How should one measure shape complexity o Stabbing Number Number of times a ray selected from a space of rays will stab a surface 0 Area3Volume2 Measure of how convoluted an object is Slide 5 Storage size depends on 0 There exists a tradeoff between error and storage size Slide 7 Focus on explicit representation T mesh 0 Connectivity Who are you neighbors How are the organized o V3Bk the cost of storage where V is the number of vertices and B is the number of bits Slide 15 Storage size depends on accuracy 0 EB Quantization Error 0 ET Simpli cation Error K T as de ned in the slides Distance between subsampled and original shape Hausdorff distance for example Slide 16 Different ErrorMeasures o The measure of error should depend on the problem at hand 0 Sometimes error is best measured in screen space sometimes in model space Slide 18 Complexity of a shape StorageError curve 0 In order to compare simplification schemes one must keep in mind the Storage Error Curve Simpli cation and Compression 0 Curve depends on the representation and compression scheme used


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