Hierarchyless Simplification, Stripification and Compression of Triangulated Two-Manifolds Pablo Diaz-Gutierrez M. Gopi Renato Pajarola University of California, IrvineSlide 2
Introduction Intersection of and relationship between three cross section issues : Simplification, stripification and network pressure Each issue must be compelled Imposed limitations permit further materialness http://graphics.ics.uci.eduSlide 3
Introduction: Three issues Simplification Decimation Vertex grouping Edge giving way Compression Valence-driven Strip/edge-chart based Stripification Alternating straight strips Generalized strip circles http://graphics.ics.uci.eduSlide 4
Talk layout Hierarchyless disentanglement Simplification and stripification Connectivity pressure Results Conclusion http://graphics.ics.uci.eduSlide 5
Mesh rearrangements Popular methodology: Edge breakdown/vertex split Problem: Dependencies between given way edges Hierarchy of breakdown/split operations Edge breakdown Vertex split http://graphics.ics.uci.eduSlide 6
Edge-breakdown conditions Edge-fall A canât be part before Edge-breakdown B A B http://graphics.ics.uci.eduSlide 7
Multi-edges Definition Multi-edge : Edge speaking to numerous edges from the first work, after improvement. Edge breakdown Vertex split http://graphics.ics.uci.eduSlide 8
Edge-breakdown conditions A Multi-edges B Collapsing multi-edges produces conditions http://graphics.ics.uci.eduSlide 9
Multi-edges Avoiding conditions When one edge of a triangle is crumpled, the other two get to be multi-edges. On the off chance that we donât breakdown multi-edges: Only one edge for every triangle is gave way Edge breakdown 6 5 6 5 1 Collapsing edge 1 9 7/8 7 8 4 2 3 http://graphics.ics.uci.eduSlide 10
Hierarchyless rearrangements Each triangle has at most one collapsible edge One collapsible accomplice over that edge Problem: Choosing one edge keeps others from crumpling Optimize decision of collapsible edges http://graphics.ics.uci.eduSlide 11
Hierarchyless improvement Pose as diagram issue in the double chart of the triangle cross section Choose collapsible edges Graph coordinating Maximal arrangement of collapsible edges (triangle sets) Perfect diagram coordinating No multi-edges caved in!! (No falling conditions) http://graphics.ics.uci.eduSlide 12
Simplification case Genus 0 complex 3 associated arrangements Of collapsible edges http://graphics.ics.uci.eduSlide 13
Simplification case Multi-edges http://graphics.ics.uci.eduSlide 14
Simplification illustration http://graphics.ics.uci.eduSlide 15
Simplification sample http://graphics.ics.uci.eduSlide 16
Simplification case http://graphics.ics.uci.eduSlide 17
Simplification case http://graphics.ics.uci.eduSlide 18
Simplification case Equivalent vertices http://graphics.ics.uci.eduSlide 19
Simplification case http://graphics.ics.uci.eduSlide 20
Simplification case Equivalent vertices http://graphics.ics.uci.eduSlide 21
Simplification case http://graphics.ics.uci.eduSlide 22
Simplification case 3 joined parts of collapsible edges 3 vertices after complete improvement http://graphics.ics.uci.eduSlide 23
Extremal rearrangements All triangles broken down But not all vertices crumpled Collapsible edges sorted out in joined segments Each associated segment crumples to 1 vertex http://graphics.ics.uci.eduSlide 24
Extremal disentanglement Goal : Reduce number of vertices in last model By diminishing number of associated segments of collapsible edges Apply two operations : Edge swap (next slide) Matching reassignment Minimum 1 or 2 associated segments when all is said in done, associated segments are trees Might have circles http://graphics.ics.uci.eduSlide 25
Extremal disentanglement Connecting collapsible edges Initially, 3 associated segments of collapsible edges Choose an edge to swap Only two associated segments now http://graphics.ics.uci.eduSlide 26
Extremal rearrangements 2 joined segments of collapsible edges 2 vertices after complete improvement http://graphics.ics.uci.eduSlide 27
Talk layout Hierarchyless disentanglement Simplification and stripification Connectivity pressure Results Conclusion http://graphics.ics.uci.eduSlide 28
Simplification and stripification Each triangle has one collapsible edge The other two unite it to a triangle strip circle Removing collapsible edges makes disjoint triangle strip circles http://graphics.ics.uci.eduSlide 29
Extremal disentanglement and single-stripification Connected segments of collapsible edges are trees Triangles around them structure circles Fewer collapsible edge segments â less circles: Reduce number of joined segments of coordinated edges. In manifolds , collapsible edges can be assembled in 1 or 2 associated parts: All triangulated manifolds can be made a solitary triangle strip circle . Schematic representation of triangle strips and average tomahawks. http://graphics.ics.uci.eduSlide 30
Maintaining strips amid disentanglement Hierarchyless improvement consequently keeps up triangle strips Edge-breakdown abbreviate strips and average tomahawks But donât change topology Letâs see an exampleâ¦ http://graphics.ics.uci.eduSlide 31
Maintaining strips amid rearrangements http://graphics.ics.uci.eduSlide 32
Maintaining strips amid disentanglement http://graphics.ics.uci.eduSlide 33
Maintaining strips amid improvement http://graphics.ics.uci.eduSlide 34
Maintaining strips amid rearrangements http://graphics.ics.uci.eduSlide 35
Maintaining strips amid improvement http://graphics.ics.uci.eduSlide 36
Quality contemplations Quality of rearrangements Choose collapsible edges with the minimum quadric mistake Quality of stripification Application subordinate (i.e. augment strip territory) Assign edge weights Choose weight minimizing arrangement of collapsible edges Diaz-Gutierrez et al. "Constrained strip era and administration for proficient intuitive 3D renderingâ , CGI 2005 0 1 0 3 0 1 0 1 0 http://graphics.ics.uci.eduSlide 37
Talk plot Hierarchyless disentanglement Simplification and stripification Connectivity pressure Results Conclusion http://graphics.ics.uci.eduSlide 38
Collapsible edges & network pressure Important: topological , not geometric pressure. Some current methods produce triangle strips as repercussion of pressure. A couple pack availability alongside strips. We misuse duality of strips and average tomahawks. Pictures from http://www.gvu.gatech.edu/~jarek/http://graphics.ics.uci.eduSlide 39
1 0 1 0 1 0 1 0 Encoding of a strip as a compressing of two trees âHand and Gloveâ pressure Genus-0 triangulated manifolds Encode class 0 network as: Two vertex crossing trees of collapsible edges (â hand and glove â trees) a touch string compresses the trees together along the single strip circle Guaranteed upper bound : 2 bits/face (i.e. 4 bits/vertex) http://graphics.ics.uci.eduSlide 40
âHand and Gloveâ pressure Genus-0 triangulated manifolds Predict heading of strip to enhance pressure Slight adjustments to handle: Higher variety Boundaries Quadrilateral manifolds Etc. Extremely easy to code One day for model project http://graphics.ics.uci.eduSlide 41
Talk diagram Hierarchyless disentanglement Simplification and stripification Connectivity pressure Results Conclusion http://graphics.ics.uci.eduSlide 42
Results: Simplification Models with 1358, 454, 54 and 4 triangles. http://graphics.ics.uci.eduSlide 43
Results: Simplification Models with 19778, 7238, 1500 and 778 triangles . Models with 16450, 6450, 2450 and 450 triangles. http://graphics.ics.uci.eduSlide 44
Results: Simplification Models with 101924, 33924, 9924 and 1924 triangles. http://graphics.ics.uci.eduSlide 45
Results: View-subordinate rearrangements Notice emotional change in improvement http://graphics.ics.uci.eduSlide 46
Results: Stripification with hilter kilter disentanglement http://graphics.ics.uci.eduSlide 47
Results: Compression bit proportions Bits per vertex acquired with Hand & Glove strategy. Examination with Edgebreaker. The yield of both techniques is packed with a math encoder. http://graphics.ics.uci.eduSlide 48
Talk plot Hierarchyless disentanglement Simplification and stripification Connectivity pressure Results Conclusion http://graphics.ics.uci.eduSlide 49
Summary and decision This paper establishes a hypothetical framework for joining three critical regions of geometric figuring. By registering and fittingly overseeing arrangements of collapsible edges , we accomplished: Hierarchyless cross section disentanglement Dynamic administration of triangle strip circles Efficient availability pressure http://graphics.ics.uci.eduSlide 50
Future work Explore and enhance Hand & Glove network pressure. Plan a lighter information structure for figuring mistakes in perspective ward improvement. Amplify current results on stripification (mostly finished). http://graphics.ics.uci.eduSlide 51
Acknowledgments ICS Computer Graphics Lab @ UC Irvine http://graphics.ics.uci.edu http://graphics.ics.uci.eduSlide 52
THE END Thanks for your time Questions? Remarks? Proposals? http://graphics.
A Prologue to 3D Geometry Pressure and Surface Improvement Connie Phong CSC/Math 870 26 April 20 ...
Managerial Improvement CORBAmed January 12, 1999 Bill Braithwaite Senior Guide on Wellbeing Data ...
Quadrilateral and Tetrahedral Network Stripification Utilizing the 2-Variable Dividing of the Do ...
MPEG Audio Standard guarantees between operability, characterizes coded bit stream punctuation, ...
Sachin Patil. Existing Sound Propagation Approaches : Limitations ... Too moderate for ongoing s ...
European Union. Plot. Team rearrangements perceptions of an Audit Authority ... European Union. ...
Strategies and Institutional Frameworks for Administrative Simplification in Denmark ... In Marc ...
Computerized silver screen would be seen on DLP Cinema projectors on substantial screens ... Bro ...
Presentation. Movie Experts Group (MPEG)International Standards Organization (ISO)First High Fid ...
Lossless And Lossy Compression. compressedData = compress(originalData)decompressedData = decomp ...
Elective Compression Algorithms. Number juggling codingHuffman codingCharacter-basedWord-basedDi ...
Improvement of a Simplistic Method for Processing Intermetallic Sheet Materials Using Cold Roll ...
What is information pressure?. There are two central classes of document compression:Identify re ...
Figure 6.1 Three courses in which the dynamic scope of signs can be diminished. For every situat ...
DRAWBACK SIMPLIFICATION LEGISLATION “A LOOK TO PROSPECTIVE OPPORTUNITIES” PRESENTATION B ...
2. Presentation. Actualize Mesh Decimation in genuine timeUtilizes new Geometry Shader phase of ...
2.16One-frames 2.17Examples of One-structures 2.18The Dirac Delta Function 2.19The Gradient and ...
. Traditions and Notations . 1. Hn, Sn, En n-faint hyperbolic, round and Euclidean spaces with a ...