Download 3D Engine Design for Virtual Globes by Patrick Cozzi PDF

By Patrick Cozzi

Supported with code examples and the authors’ real-world adventure, this booklet bargains the 1st consultant to engine layout and rendering algorithms for digital globe functions like Google Earth and NASA international Wind. The content material can be necessary for normal images and video games, specially planet and massive-world engines. With pragmatic suggestion all through, it's crucial analyzing for practitioners, researchers, and hobbyists in those components, and will be used as a textual content for a different themes direction in special effects.

Topics lined include:

  • Rendering globes, planet-sized terrain, and vector data
  • Multithread source management
  • Out-of-core algorithms
  • Shader-based renderer design

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X ✯ da3 ) + y2 / ( _ r a d i i T o T h e F o u r t h . Y ✯ db3 ) + z2 / ( _ r a d i i T o T h e F o u r t h . Z ✯ dc3 ) ) ; } w h i l e ( Math . A b s ( s ) > 1 e −10) ; r e t u r n new Vector3D ( p . X / da , p . Y / db , p . Z / dc ) ; } // . . 9. Scaling a point to the surface along the geodetic surface normal. ✬ Patrick Says ✩ I was assured this method converges quickly, but, for curiosity’s sake, I ran a few tests to see how quickly. I created a 256×128 grid of points, each with a random height up to 10% of the semiminor axis above or below the surface.

2. Fundamental Vector3D operations. double precision as explained in Chapter 5. 1 We use meters for units in Cartesian coordinates and for height in geodetic coordinates, which is common in virtual globes. Let’s turn our attention to ellipsoids, which will allow us to more precisely define geographic coordinates, and ultimately discuss one of the most common operations in virtual globes: conversion between geographic and WGS84 coordinates. 2 Ellipsoid Basics A sphere is defined in 3-space by a center, c, and a radius, r.

Given two endpoints, p and q, and a granularity, γ, we wish to compute a path on an ellipsoid, (a, b, c), centered at the origin, by subsampling points with γ angular separation. 13(e), as γ decreases, the subsampled points become closer together, and thus better approximate the curve. Except in the limit when γ approaches zero, the line segments will always 36 2. 13. (a) Our curves are determined by the intersection of a plane and the ellipsoid. (b) The plane contains the ellipsoid’s center and the line endpoints.

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