What you are referring to is Volume Profile and the segmentation of it through time. It is the offspring of the original market profiling technique developed by Peter Steidlmayer.
Market profiling developed by Pete Steidlmayer initially started with him simply marking the vertical range of price separated in 30 minute segments, creating the horizontal histogram formatting that is now synonymous with MP and VP visual. That's all, no volume. As he refined his method he added volume (but in the pit in the beginning it was not possible) and as we all know, his method of viewing market data was eventually packaged and marketed with volume data from the CBOT's LDB.
Over time he eventually left the 30 minute segmentation restrictiveness and desired to view the market more as the dynamic entity it is retaining the TPO (Time Price Opportunity) concept but dropping the time segmentation, leading to his latter work exhibited in the image below.
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Till this day I have never found any software that can build profiles not based on a fixed time or volume segmentation.
This is the most accurate post in this thread.
Till this day I have never found any software that can build profiles not based on a fixed time or volume segmentation.
And I don't think there is one anyway. In order to build profiles (The standard bell shape activity throughout the trading session) without fixed time or volume segmentation would be like asking for a software which predicts future activity of the market as it knows when to smartly move horizontally in time based on no particular pattern except that it's trying to draw a perfect bell shape profile.
I thought of this a while back but didn't have enough time to experiment it. A smart software can (in theory) give out potential scenarios of how the day activity (profile) would look like (after a pre-defined period of time from the trading session start). It can go further in assigning probabilities for each scenario as well.
But still even if this exists (or developed), I would doubt the forecasting ability as the day can develop into any profile shape (Not restricted to the perfect bell-shape).

