"Through the brilliance of an image, the distant past resounds with echoes, and it is hard to know at what depth these echoes will reverberate and die away. In experiencing the REVERBERATION of a poetic image, we find the real measure of its being. " Page 2, Introduction, Poetics of Space
Reverberate means to be reflected many times, as sound waves from the walls of a confined space. I think the author is talking about how objects can evoke an image from the past. From our first contact with a childhood home, certain objects can imprint themselves in our memory. An object, due to shape, color, texture, or sound can evoke a memory and feelings, making it relevant to the present and affect how we feel about the space.