[SOLVED] math problem: compute 3d volume (image-based)
i came here to hear your opinions and suggestions and for your help.
owww... im nver good in math...
this may be more mathematical than ubuntu-ish... i need your help.
im currently developing a program to render a volume from a sequence of binary 2D images. i use C++ and a class library we use in school for computer graphics.
what im doing in 3d rendering is voxel-based.i use space carving algo. i am now able to render the volume but one of my main goals is this: compute the volume of the original object through those 2D input images.
iv researched about the calibration in this kind of processing but im all tangled up. i admit that im nver good in math.
the idea is, if 1 voxel is 1cm^3, and if the total of voxels are 500, that means the 3d object ive rendered is 500cm^3.
but it was just based on the images and the volume iv rendered, how will i transform that to the real world? (true volume)
one more thing,the orig dimensions of the imgs are 640x480. but coz i only hav limited comp. resources (single-core,512mb ram),i scaled them down to 267x200. with the same ratio of 1.35.
so, iv scaled the images down... 1 voxel in 267x200 is how many voxels in 640x480? is it 2.4? (640/267, 480/200)
so, if i hav 500 voxels in 267x200, is it equivalent to 1200 voxels in 640x480?
then... if it is (if it is...), i have 1200 voxels...1200cm^3
what if i precomputed the real world object and it has a dimension of(in cm) w=16, h=11, d=31...a volume of 5,456 cm^3... then what? how can i transform computation from those voxels to real world? how will i know that im right?
will it be right to set 1 voxel to 1 cm^3? and so, if it is, i have a ratio of 4.55 (5456/1200)--ratio of real world and images?
oh no... am i making any sense?pls..help me.