Changes between Version 1 and Version 2 of Ticket #31324, comment 5


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Timestamp:
Feb 3, 2021, 4:55:46 PM (22 months ago)
Author:
Michael Jung
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  • Ticket #31324, comment 5

    v1 v2  
    55> Yes, this is my point. Shouldn't the spheres be initialized with a minimal atlas covering them entirely? At least, for low dimension, due to the CPU cost.
    66
    7 Right. But one could argue that the topological data is still there (in contrast to self-defined manifolds) in terms of stereographic coordinates.
     7Right. But one could argue that the topological data is still there in terms of stereographic coordinates  (in contrast to self-defined manifolds).
    88
    99If one desires a complete atlas at initialization, I'd suggest to introduce some kind of 'lazy atlas' which knows all charts but computes them only on demand. That would be similar to Travis' idea for Grassmannians, see #31249, and in fact a nice generalization for demanding examples. And similar for the orientation.