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    <p>Here's what I ended up using:</p> <pre><code>public static List&lt;Point3D&gt; IntersectionOfLineSegmentWithAxisAlignedBox( Point3D segmentBegin, Point3D segmentEnd, Point3D boxCenter, Size3D boxSize) { var beginToEnd = segmentEnd - segmentBegin; var minToMax = new Vector3D(boxSize.X, boxSize.Y, boxSize.Z); var min = boxCenter - minToMax / 2; var max = boxCenter + minToMax / 2; var beginToMin = min - segmentBegin; var beginToMax = max - segmentBegin; var tNear = double.MinValue; var tFar = double.MaxValue; var intersections = new List&lt;Point3D&gt;(); foreach (Axis axis in Enum.GetValues(typeof(Axis))) { if (beginToEnd.GetCoordinate(axis) == 0) // parallel { if (beginToMin.GetCoordinate(axis) &gt; 0 || beginToMax.GetCoordinate(axis) &lt; 0) return intersections; // segment is not between planes } else { var t1 = beginToMin.GetCoordinate(axis) / beginToEnd.GetCoordinate(axis); var t2 = beginToMax.GetCoordinate(axis) / beginToEnd.GetCoordinate(axis); var tMin = Math.Min(t1, t2); var tMax = Math.Max(t1, t2); if (tMin &gt; tNear) tNear = tMin; if (tMax &lt; tFar) tFar = tMax; if (tNear &gt; tFar || tFar &lt; 0) return intersections; } } if (tNear &gt;= 0 &amp;&amp; tNear &lt;= 1) intersections.Add(segmentBegin + beginToEnd * tNear); if (tFar &gt;= 0 &amp;&amp; tFar &lt;= 1) intersections.Add(segmentBegin + beginToEnd * tFar); return intersections; } </code></pre> <hr> <pre><code>public enum Axis { X, Y, Z } </code></pre> <hr> <pre><code>public static double GetCoordinate(this Point3D point, Axis axis) { switch (axis) { case Axis.X: return point.X; case Axis.Y: return point.Y; case Axis.Z: return point.Z; default: throw new ArgumentException(); } } public static double GetCoordinate(this Vector3D vector, Axis axis) { switch (axis) { case Axis.X: return vector.X; case Axis.Y: return vector.Y; case Axis.Z: return vector.Z; default: throw new ArgumentException(); } } </code></pre>
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