02_representation_4

02_representation_4 - Data Representation and Basic...

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Unformatted text preview: Data Representation and Basic Processing August 27, 2009 CS 53000 - Introduction to Scientifc Visualization CS530 - Introduction to Scientifc Visualization Purdue University Spring ‘08 CS 53000 - Data Representation and Basic Processing - 08/27/2009 Outline • Grid Structure • Interpolation • Search • Preprocessing CS530 - Introduction to Scientifc Visualization Purdue University Spring ‘08 CS 53000 - Data Representation and Basic Processing - 08/27/2009 Input Data • Discrete positions (vertices) • N dimensions, N=1, 2, 3, ... • With or without connectivity inFormation • Structured • Unstructured • Scattered grid topology ΅ ⾇ ` ⾇ ῰ CS530 - Introduction to Scientifc Visualization Purdue University Spring ‘08 CS 53000 - Data Representation and Basic Processing - 08/27/2009 Grid Structure Classifcation • Geometry • Position oF vertices in Euclidean space • Structured / unstructured • Topology • Cells • Connectivity inFormation • Neighborhood defnition • Structured / unstructured CS530 - Introduction to Scientifc Visualization Purdue University Spring ‘08 CS 53000 - Data Representation and Basic Processing - 08/27/2009 UniForm • implicit relationship between points • positions can be computed (procedural) Grid Geometry UniForm grid P i,j P , Δ x Δ y P i,j,k = P , + i Δ x e x + j Δ y e y + k Δ z e z CS530 - Introduction to Scientifc Visualization Purdue University Spring ‘08 CS 53000 - Data Representation and Basic Processing - 08/27/2009 Structured • implicit relationship between points • positions can be computed (procedural) Grid Geometry Rectilinear grid P i,j,k = P , + Δ x [ i ] e x + Δ y [ j ] e y + Δ z [ k ] e z P , P i,j Δ x [ i ] Δ y [ j ] Δ y [1] Δ x [1] CS530 - Introduction to Scientifc Visualization Purdue University Spring ‘08 CS 53000 - Data Representation and Basic Processing - 08/27/2009 7 Grid Geometry Unstructured • No underlying structure • Required explicit position oF every vertex ( x n , y n , z n ) ( x k , y k , z k ) CS530 - Introduction to Scientifc Visualization Purdue University Spring ‘08 CS 53000 - Data Representation and Basic Processing - 08/27/2009 8 Grid Topology Structured (quadrilateral / hexahedron) • Implicit connectivity between vertices • Implicit cell defnition Associated with structured geometry: - very eFfcient position location Pixel j i CS530 - Introduction to Scientifc Visualization Purdue University Spring ‘08 CS 53000 - Data Representation and Basic Processing - 08/27/2009 9 Grid Topology Structured (quadrilateral / hexahedron) • Implicit connectivity between vertices • Implicit cell defnition Associated with structured geometry: - Implicit triangulation CS530 - Introduction to Scientifc Visualization Purdue University Spring ‘08 CS 53000 - Data Representation and Basic Processing - 08/27/2009 Hexahedron Quadrilateral Grid Topology Structured (quadrilateral / hexahedron) • Implicit connectivity between vertices...
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02_representation_4 - Data Representation and Basic...

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