You can use a 3D surface plot combined with a gradient magnitude overlay to highlight the suppressed vertical regions. This will ensure the gradient magnitude detects sharp changes in data value which happens at the edges of suppressed lines, making them stand out visually without overwhelming the rest of the plot.
Gradient Magnitude Calculation will highlight the suppressed vertical regions by detecting sharp changes in data:
[Gx, Gy] = gradient(data);
gradMag = sqrt(Gx.^2 + Gy.^2);
3D Surface Plot gives the base 3D visualization of the dataset:
surf(x, y, data, 'FaceAlpha', 0.7, 'EdgeColor', 'none');
Overlay Gradient as Mesh overlays the gradient magnitude to visually emphasize suppressed areas:
mesh(x, y, gradMag, 'EdgeColor', 'r', 'FaceAlpha', 0.3);

PFA the links for further reference
Hope this helps!
