introduced a technique to encode information on the vessels whilst maintaining the benefits of the pseudo-chromadepth color scale, by applying it on the edges of the vessels only. Lichtenberg et al. [@Lichtenberg2017] used glyphs to communicate depth information on the vessel end-points freeing the surface of the vessel of such task. Despite these efforts to integrate the visualization of several vessel parameters into a single image, the problem cannot be considered as solved, as the applied depth perception are either exploiting the color channel also used to communicate the vessel structure or require the user to interpret glyphs in order to decipher depth relations. To our knowledge no monoscopic vessel visualization technique exists, which naturally encodes depth without occupying the color channel of the vessel’s surface.

In this paper, we present *Void Space Surfaces* (VSS), a novel approach to visualize vascular structures. VSS are able to convey the depth of complex vessel structures without interfering with additional measures visually encoded on the vessels’ surfaces. To do so, VSS take advantage of the empty space between vessels to generate camera dependent height fields, which serve as a canvas to convey depth (see Figure \[fig:teaser\]). Within this paper, we will show how 