stein@dhw68k.cts.com (Rick Stein) (01/06/89)
I'm curious to know about how one performs rotations on pixel data. If I have several scans from a tomography machine, I want to reconstruct and visualize this data in 3d. Given that each scan is a 2d pixel array, how would I stack these slices and then transform (eg., translate/rotate) this pile of pixels? I guess one could perform 1Million matrix multiplies (assuming a 1K x 1K display). Are there any other ways? Obviously, if I can create some polygons from the pixels, then the # of multiplies will diminish. Any suggestions/references for pixel manipulations (ala Pixar)? -- Rick 'Transputer' Stein ( My mother was a clairvoyant. :-) ) uucp:{felix, spsd, zardoz}!dhw68k!stein Internet: stein@dhw68k.cts.com
cutter@Apple.COM (Mark Cutter) (01/07/89)
In article <17963@dhw68k.cts.com> stein@dhw68k.cts.com (Rick Stein) writes: > >I'm curious to know about how one performs rotations on pixel Try looking at "A Fast Algorithm for General Raster Rotation" by Alan Paeth Proceedings of Graphics Interface 86 He shows how any rotation can be decomposed into three skew operations. The only tricky thing is how you filter the pixels, but it is very fast. Mark Cutter cutter@apple.COM
efo@pixar.uucp (efo) (01/11/89)
In article <17963@dhw68k.cts.com> stein@dhw68k.cts.com (Rick Stein) writes: > >I'm curious to know about how one performs rotations on pixel >data. >Any suggestions/references for pixel manipulations (ala Pixar)? Yes. The seminal paper on this topic is: E. Catmull and A. R. Smith, "3-D Transformations of Images in Scanline Order," Computer Graphics 14(3) (SIGGRAPH '80 Proceedings) July 1980, pp 278-285 And the other answer is, yes, you can decompose a rotation into shears which can be done quite cheaply; see the above. Eben Ostby Pixar