OK. Dogs smell well. Cites at hand:
Dogs have large folds of mucous membranes inside their nose containing more than 200 million scent receptors compared to smaller areas of mucous membranes containing about 5 million in humans. Their olfactory bulbs are also about 4 times larger than ours.andIt is estimated that dogs in general have an olfactory sense approximately a hundred thousand to a million times more acute than a human’s. That is, they have a greater acuity. This does not mean they are overwhelmed by smells our noses can detect; rather, it means they can discern a molecular presence when it is in much greater dilution in the carrier, air. Scenthounds as a group can smell one- to ten-million times more acutely than a human, and Bloodhounds, which have the keenest sense of smell of any dogs[citation needed], have noses ten- to one-hundred-million times more sensitive than a human’s.
and God knows how much more processing goes on in the disproportionally large part of their doggie brains devoted to it. [Interestingly, far more research has been done on animal echolocation than animal olfactory location. Something to do with more signal-process folks than molecular-process folks, perhaps.]
Dogs can spot fix the scent geographically in its memory–like when they dig up bones they’ve buried.
[The following are ideal assumptions]
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Smell dissipates the further away it is in air. For the sake of argument, assume that there are no air currents or extraneous scents to a group of scents, that, to the dog taken all together that stand for “tree.” [Which I do believe in fact.] By the sequence of more-and-more-dissipated scents, standing in front of a line of trees receding from it, does the dog have a kind of depth-perception–despite the “non-parallax” scent-field of the single-nose dog–via the two non-parallax clues of a) depth of field and b) smaller objects appearing more distant?
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Even more cool on 3-D smell: everyone sees dogs’ noses constantly twitching to catch the tiniest scent change (what of course to us is “invisible”). Could this be the equivalent of saccadic motion or, perhaps, with what I do with my one eye, which is bend down to look at a pot, say, then look at it from a different angle while keeping the original view in my head, and then synthesizing the two for a pseudo-parallax view?