need help looking for mathemathic calculation(or device) that can be used to
draw lines that represents shapes of a volume in perspective from various angle, with values of length,position, and angles that should sufficely form a correct image

in another words, to polish and redraw the image pictured(which suffers from sizes and noises), with their outlines based on the specified on object's properties or maybe something else entirely
so the image can look more correct and natural like its reference

any lengthy calculations that uses focal length or vector is welcome.

thank you very much