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ListPlot3D, how not to connect some points?

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I have a list {{x1, y1, z1}, {x2, y2, z2}, ... , {xN, yN, zN}}, which I am plotting using ListPlot3D. The {x, y} values are in three of the four quadrants, that is $x$ and $y$ cannot both be positive. In the plot, I want this region to just remain white. However, because there are data points in the quadrants to the left {x<0, y>0} and below {x>0, y<0} this quadrant {x>0, y>0}, Mathematica connects the two quadrants and eventually gives regions within this absent quadrant.

Mathematica seems to be interpolating across a region where I have no data points. How do I ensure that nothing is plotted in the quadrant where there are no data points?


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