Lecture12

Lecture12 - The power of the grid Analytical and Computer...

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Analytical and Computer Cartography Lecture 12: Grids, interpolation and extrapolation The power of the grid z Easiest representation of a field variable, measureable at all places z Can vary spacing to suit task z Interpolation necessary when data are not at grid intersections, or are irregular or sparse z Interpolation becomes extrapolation – When areas deficient of points are interpolated – When interpolation is carried outside the data area Generic structure for a grid Models for terrain z Contours: Vector z Regular point samples z Irregular point samples z DEMs z Surface patches z TIN z Voxel z 3D point cloud
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3D Transformations z Not yet considered in a transformational context z 3D data often for land surface or bottom of ocean z Single valued function z Need three coordinates to determine location ( X , Y , Z ) or ( λ , Φ , h ) Terrain (surface) analysis z Part of analytical cartography concerned with analysis of fields is terrain analysis z Include terrain representation and symbolization issues as they relate to data z Points, TIN and grids are used to store terrain z How do we do transformations? z In all cases we must fill in data where none exists in space = interpolation The interpolation problem Southern California
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Interpolation to a Grid z
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This note was uploaded on 12/28/2011 for the course GEOG 128 taught by Professor Staff during the Fall '08 term at UCSB.

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Lecture12 - The power of the grid Analytical and Computer...

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