From 665472814be1c34d8a0d3370c6ef568ae31805e9 Mon Sep 17 00:00:00 2001 From: Andrew Brown Date: Tue, 1 Nov 2011 17:09:59 -0400 Subject: [PATCH] wrote a bit of docs about quadtrees --- docs/design/designdoc.rst | 49 + docs/design/tilerendering/4children.png | Bin 0 -> 157131 bytes docs/design/tilerendering/4children.svg | 15364 ++++++++++++++++++++++ 3 files changed, 15413 insertions(+) create mode 100644 docs/design/tilerendering/4children.png create mode 100644 docs/design/tilerendering/4children.svg diff --git a/docs/design/designdoc.rst b/docs/design/designdoc.rst index 9f716ec..1808d9a 100644 --- a/docs/design/designdoc.rst +++ b/docs/design/designdoc.rst @@ -490,6 +490,55 @@ Quadtrees ========= .. About the tile output +Tiles are rendered and stored in a quadtree on disk. Each node is a tile of the +world, and each node has four children representing a zoomed-in tile of the four +quadrants. + +.. image:: tilerendering/4children.png + :alt: A tile has 4 children, each is a zoomed-in tile of one of the quadrants. + +The tree is generated from the bottom-up. The highest zoom level is rendered +directly from the chunks and the blocks, then four of those rendered tiles are +shrunk and concatenated to get the next zoom level. The tree is built up in this +way until the entire world is compressed down to a single tile. + +We've already seen how tiles can be identified by the column,row range of the +chunks that make up the tile. More precisely, since tiles are always the same +size, the chunk that goes in the tile's 0,0 col,row slot identifies the tile. + +Now, tiles are also identified by their path in the quadtree. For example, +``3/0/0/1/1/2.png`` refers to the tile starting at the base, under the third +quadrant, then the 0th quadrant, then the 0th, and so fourth. + +Quadtree Size +------------- +The size of the quadtree must be known before it's generated, that way the code +knows where to save the images. This is easily calculated from a few +realizations. Each depth in the quadtree doubles the number of tiles in each +dimension, or, quadruples the total tiles. While there is only one tile at level +0, there are four at level 1, 16 at level 2, and 4^n at level n. + +To find how deep the quadtree must be, we look at the size of the world. First +find the maximum and minimum row and column of the chunks. Just looking at +columns, let's say the maximum column is 82 and the minimum column is -136. A +zoom level of 6 will be 2^6 tile across and 2^6 tiles high at the highest level. + +Since horizontally tiles are two chunks wide, multiply 2^6 by 2 to get the total +diameter of this map in chunks: 2*2^6. Is this wide enough for our map? + +It turns out it isn't (2*2^6=128, 136+82=218). A zoom level of 7 is 2^7 tiles +across, or 2*2^7 chunks across. This turns out is wide enough (2*2^7 = 256), +however, Overviewer maps are always centered at point 0,0 in the world. This is +so tiles will always line up no mater how the map may expand in the future. + +So zoom level 7 is *not* enough because, while the chunk diameter is wide +enough, it only extends half that far from the origin. The chunk *radius* is 2^7 +(half the diameter) and 2^7=128 is not wide enough for the minimum column at +absolute position 136. + +So this example requires zoom level 8 (at least in the horizontal direction. +The vertical direction must also be checked). + get_range_by_path ----------------- .. 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