March 1997
- Linear Quadtrees Carter T Shock
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Please forgive the awful image attached... I is a code monkey, not a
artist.
Top figure is the space divided up by the quadtree in the bottom figure.
Bottom figure shows the classic pointer-based quadtree implementation.
Lotsa overhead here. Every node in the tree has four (possibly null)
pointers. It doesn't adapt well to disk based operations etc. The question
is how to get rid of all of those pointers. This is just an overview, not a
hard-core implementation.
The top figure is 256 pixels square, so the entire space indexes nicely
with a pair of 8 bit values. Take a peek at the 1's and 0's next to the
upper figure. We already know that we can come up with a morton code for
any point in 2-d space. Consider the morton codes for the upper-left
corners of any block in the tree.
The green block's (at least I hope it's green) upper left coordinate is
[0,0], so the
morton code is trivially 0000000000000000. The blue block has upper left
coordinate [0,128] yielding 0100000000000000. The yellow block is [0,192],
0101000000000000. Why do we care?
'Scuse the pseudo-code here, but...
Find all points in the green block:
for each point's morton code, P
if( (P & 1100000000000000) == 0)
return true.
Where '&' is bitwise AND.
The blue block presents a bit of a problem because its upper left corner is
the same point as the square that contains it (i.e. the square that is the
same size as the green one... blue's parent). The difference is the block's
level in the tree. Just use more bits.
for each P (as above)
if((P & 1111000000000000) == 0100000000000000) return true.
Same trick with the yellow block...
for each P
if((P & 1111110000000000) == 0101000000000000) return true.
Look Ma! No pointers.
The trick is called (go figure..) Morton Blocks.
There are fancier tricks you can do, but for those you'll have to buy the
book :)
-Todd
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------=_NextPart_000_01BC26D5.EEF8BEE0-- - Linear Quadtrees gzhang1234@yahoo.com
- q-tree stuff Chris Gray
- q-tree stuff Carter T Shock
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- Issues from the digests and Wout's list Chris Gray
- Issues from the digests and Wout's list Chris Gray
- Issues from the digests and Wout's list Adam Wiggins
- Issues from the digests and Wout's list Jeff Kesselman
- ListMail dupes coder@ibm.net
- Threads, IO handling, and Event Queues Nathan Yospe
- Threads, IO handling, and Event Queues Chris Gray
- Threads, IO handling, and Event Queues coder@ibm.net
- Threads, IO handling, and Event Queues Carter T Shock
- Threads, IO handling, and Event Queues Nathan Yospe
- Threads, IO handling, and Event Queues claw@null.net
- Threads, IO handling, and Event Queues coder@ibm.net
- mud grammar (was Just a bit of musing) Carter T Shock
- mud grammar (was Just a bit of musing) Nathan Yospe
- mud grammar (was Just a bit of musing) Chris Gray
- mud grammar (was Just a bit of musing) claw@null.net
- mud grammar (was Just a bit of musing) Chris Gray
- mud grammar (was Just a bit of musing) claw@null.net
- mud grammar (was Just a bit of musing) Chris Gray
- mud grammar Carter T Shock
- mud grammar Nathan Yospe
- mud grammar Alex Oren
- mud grammar Nathan Yospe
- mud grammar Adam Wiggins
- mud grammar Chris Gray
- Just a bit of musing (VRML) Dmitri Kondratiev
- Just a bit of musing (VRML) claw@null.net
- Room coding Nathan Yospe
- Room coding Furball
- command parsing Chris Gray
- command parsing Adam Wiggins
- command parsing claw@null.net
- Room coding S001GMU@nova.wright.edu
- Room coding Chris Gray
- Resets and repops Furball
- Resets and repops claw@null.net
- Resets and repops Jon A. Lambert
- Resets and repops claw@null.net
- Resets and repops Nathan Yospe
- Resets and repops Jon A. Lambert
- Resets and repops Nathan Yospe
- Resets and repops claw@null.net
- Resets and repops Adam Wiggins
- Resets and repops Nathan Yospe
- Resets and repops Adam Wiggins
- Resets and repops Nathan Yospe
- Resets and repops Chris Gray
- Resets and repops Chris Gray
- Resets and repops Adam Wiggins
- Resets and repops Travis Casey
- Resets and repops Chris Gray
- Resets and repops Adam Wiggins
- Resets and repops Shawn Halpenny
- Resets and repops Jeff Kesselman
- Resets and repops Chris Gray
- Resets and repops Nathan Yospe
- Resets and repops Jon A. Lambert
- Resets and repops Nathan Yospe
- Resets and repops claw@null.net
- Resets and repops claw@null.net
- Resets and repops claw@null.net
- Resets and repops claw@null.net
- Resets and repops Nathan Yospe
- Resets and repops Adam Wiggins
- Resets and repops claw@null.net
- Resets and repops Adam Wiggins
- Resets and repops claw@null.net
- Resets and repops Nathan Yospe
- Resets and repops claw@null.net
- Resets and repops Jon A. Lambert
- Resets and repops Furball
- Resets and repops Chris Gray
- Resets and repops Adam Wiggins
- Resets and repops claw@null.net
- Resets and repops Adam Wiggins
- Resets and repops claw@null.net
- Resets and repops Chris Gray
- Resets and repops claw@null.net
- Resets and repops Adam Wiggins
- Resets and repops claw@null.net
- Resets and repops Adam Wiggins
- Resets and repops claw@null.net
- Resets and repops S001GMU@nova.wright.edu
- Resets and repops coder@ibm.net
- Resets and repops S001GMU@nova.wright.edu
- Resets and repops clawrenc@cup.hp.com
- Resets and repops S001GMU@nova.wright.edu
- Resets and repops Chris Gray
- Resets and repops Nathan Yospe
- Resets and repops claw@null.net
- Resets and repops Nathan Yospe
- Resets and repops Adam Wiggins
- Resets and repops Nathan Yospe
- Resets and repops Adam Wiggins
- Resets and repops Nathan Yospe
- Resets and repops Chris Gray
- Resets and repops Nathan Yospe
- Resets and repops Chris Gray
- Resets and repops Adam Wiggins
- Resets and repops Chris Gray
- Resets and repops claw@null.net
- Resets and repops lhulbert@czn.com
- Resets and repops claw@null.net
- Resets and repops Chris Gray
- Resets and repops claw@null.net
- Resets and repops Adam Wiggins
- Resets and repops Chris Gray
- Resets and repops Chris Gray
- Resets and repops claw@null.net
- Resets and repops claw@null.net
- Resets and repops claw@null.net
- mud grammar claw@null.net
- mud grammar Nathan Yospe
- mud grammar claw@null.net
- List software claw@null.net
- List software Nathan Yospe
- List software Chris Gray
- List software claw@null.net
- List software claw@null.net
- I got your message..! MAYA DASWANI
- 3D graphics claw@null.net
- Sorry for the dups (again) coder@ibm.net
- mud grammar Jon A. Lambert
- mud grammar claw@null.net
- mud grammar Nathan Yospe
- mud grammar coder@ibm.net
- mud grammar Nathan Yospe
- mud grammar Chris Gray
- mud grammar claw@null.net
- EVOLUTION response claw@null.net
- EVOLUTION response Jon A. Lambert
- EVOLUTION response claw@null.net
- Garbage Collector Artur 'Revinor' Biesiadowski
- A perspective out of time - the mudreport document Nathan Yospe
- A perspective out of time - the mudreport document claw@null.net
- Old missing posts from old list coder@ibm.net
- Execution Chris Gray
- Mixture Furball
- Resets and repops (a really short post) claw@null.net
- Resets and repops (a really short post) Nathan Yospe
- Resets and repops (a really short post) claw@null.net
- Resets and repops (a really short post) Adam Wiggins
- Resets and repops (a really short post) claw@null.net
- Resets and repops (a really short post) Nathan Yospe
- Resets and repops (a really short post) Nathan Yospe
- Resets and repops (a really short post) <= hah! Chris Gray
- VT100 codes ... Khanone@aol.com
- VT102 codes Adam Wiggins
- VT102 codes Adam Wiggins
- VT102 codes Adam Wiggins
- Dupes coder@ibm.net
- Efficiency Chris Gray
- Event Handling Nathan Yospe
- Event handling Shawn Halpenny
- Event handling Vadim Tkachenko
- Event handling Maddy
- A brief introduction.. ok, you got me: an introduction Greg Munt
- A brief introduction.. ok, you got me: an introduction Adam Wiggins
- A brief introduction.. ok, you got me: an introduction coder@ibm.net
- Greetings. :) Michael Hohensee
- Greetings. :) claw@null.net
- Greetings. :) Nathan Yospe
- Greetings. :) Michael Hohensee
- Greetings. :) coder@ibm.net
- Greetings. :) Nathan Yospe
- Greetings. :) Chris Gray
- Greetings. :) coder@ibm.net
- Greetings. :) Chris Gray
- Greetings. :) Nathan Yospe
- Greetings. :) Jeff Kesselman
- Greetings. :) Chris Gray
- Greetings. :) Greg Munt
- Greetings. :) Jon A. Lambert
- Greetings. :) Nathan Yospe
- Greetings. :) clawrenc@cup.hp.com
- Greetings. :) Furball
- Greetings. :) Chris Gray
- Greetings. :) clawrenc@xsvr1.cup.hp.com
- Greetings. :) Shawn Halpenny
- Greetings. :) Jeff Kesselman
- Greetings. :) Shawn Halpenny
- Greetings. :) Jeff Kesselman
- Greetings. :) Shawn Halpenny
- Greetings. :) Jon A. Lambert
- Greetings. :) Jeff Kesselman
- Greetings. :) Shawn Halpenny
- Greetings. :) Jon A. Lambert
- Greetings. :) clawrenc@cup.hp.com
- Greetings. :) Jeff Kesselman