diff --git a/src/main/java/net/imglib2/KDTree.java b/src/main/java/net/imglib2/KDTree.java
index 861931f5a..876cdaf3a 100644
--- a/src/main/java/net/imglib2/KDTree.java
+++ b/src/main/java/net/imglib2/KDTree.java
@@ -33,12 +33,14 @@
  */
 package net.imglib2;
 
+import java.util.Iterator;
 import java.util.List;
 
 import net.imglib2.converter.AbstractConvertedIterableRealInterval;
 import net.imglib2.converter.AbstractConvertedRealCursor;
 import net.imglib2.kdtree.KDTreeData;
 import net.imglib2.kdtree.KDTreeImpl;
+import net.imglib2.util.Cast;
 
 public class KDTree< T > implements EuclideanSpace, IterableRealInterval< T >
 {
@@ -98,7 +100,7 @@ private static int verifySize( final List< ? > values, final List< ? > positions
 	 */
 	public KDTree( final IterableRealInterval< T > interval )
 	{
-		this( verifySize( interval ), interval, positionsIterable( interval ) );
+		this( verifySize( interval ), copySamplesIterable( interval ), positionsIterable( interval ) );
 	}
 
 	private static final int MAX_ARRAY_SIZE = Integer.MAX_VALUE - 8;
@@ -158,6 +160,32 @@ public AbstractConvertedRealCursor< A, RealLocalizable > localizingCursor()
 		};
 	}
 
+	private static < T > Iterable< T > copySamplesIterable( Iterable< T > source )
+	{
+		if ( !( source.iterator() instanceof Sampler ) )
+			throw new IllegalArgumentException();
+
+		return () -> {
+			final Iterator< T > it = source.iterator();
+			final Sampler< T > sampler = Cast.unchecked( it );
+			return new Iterator< T >()
+			{
+				@Override
+				public boolean hasNext()
+				{
+					return it.hasNext();
+				}
+
+				@Override
+				public T next()
+				{
+					it.next();
+					return sampler.copy().get();
+				}
+			};
+		};
+	}
+
 	public < L extends RealLocalizable > KDTree( final int numPoints, final Iterable< T > values, final Iterable< L > positions )
 	{
 		// TODO make storeValuesAsNativeImg a parameter
diff --git a/src/test/java/net/imglib2/kdtree/KDTreeTest.java b/src/test/java/net/imglib2/kdtree/KDTreeTest.java
new file mode 100644
index 000000000..3d60035c0
--- /dev/null
+++ b/src/test/java/net/imglib2/kdtree/KDTreeTest.java
@@ -0,0 +1,141 @@
+package net.imglib2.kdtree;
+
+import java.util.ArrayList;
+import java.util.List;
+import java.util.Random;
+
+import org.junit.Assert;
+import org.junit.Test;
+
+import net.imglib2.IterableRealInterval;
+import net.imglib2.KDTree;
+import net.imglib2.RealCursor;
+import net.imglib2.RealLocalizable;
+import net.imglib2.RealPoint;
+
+public class KDTreeTest
+{
+	@Test
+	public void testCopySampler() {
+
+		final int numPoints = 10;
+
+		final List< RealLocalizable > points = new ArrayList<>( numPoints );
+		final Random rand = new Random();
+		for ( int i = 0; i < numPoints; ++i )
+			points.add( new RealPoint( rand.nextDouble() ) );
+
+		final KDTree< RealLocalizable > tree = new KDTree<>( new Locations( points ) );
+		final RealCursor< RealLocalizable > cursor = tree.cursor();
+		while ( cursor.hasNext() )
+		{
+			cursor.fwd();
+			Assert.assertEquals( cursor.getDoublePosition( 0 ), cursor.get().getDoublePosition( 0 ), 0 );
+		}
+	}
+
+	static class Locations implements IterableRealInterval< RealLocalizable >
+	{
+		private final List< RealLocalizable > points;
+
+		private final int n;
+
+		Locations(final List< RealLocalizable > points )
+		{
+			this.points = points;
+			n = points.get( 0 ).numDimensions();
+		}
+
+		@Override
+		public RealCursor< RealLocalizable > cursor()
+		{
+			return new LocationsCursor();
+		}
+
+		private class LocationsCursor implements RealCursor< RealLocalizable >
+		{
+			private int index = -1;
+
+			@Override
+			public RealCursor< RealLocalizable > copy()
+			{
+				final LocationsCursor copy = new LocationsCursor();
+				copy.index = this.index;
+				return copy;
+			}
+
+			@Override
+			public void fwd()
+			{
+				++index;
+			}
+
+			@Override
+			public void reset()
+			{
+				index = -1;
+			}
+
+			@Override
+			public boolean hasNext()
+			{
+				return index < points.size() - 1;
+			}
+
+			@Override
+			public double getDoublePosition( final int d )
+			{
+				return points.get( index ).getDoublePosition( d );
+			}
+
+			@Override
+			public int numDimensions()
+			{
+				return n;
+			}
+
+			@Override
+			public RealLocalizable get()
+			{
+				return this;
+			}
+		}
+
+		@Override
+		public RealCursor< RealLocalizable > localizingCursor()
+		{
+			return cursor();
+		}
+
+		@Override
+		public long size()
+		{
+			return points.size();
+		}
+
+		@Override
+		public Object iterationOrder()
+		{
+			return this;
+		}
+
+		@Override
+		public double realMin( final int d )
+		{
+			return Double.NEGATIVE_INFINITY;
+		}
+
+		@Override
+		public double realMax( final int d )
+		{
+			return Double.POSITIVE_INFINITY;
+		}
+
+		@Override
+		public int numDimensions()
+		{
+			return n;
+		}
+	}
+
+}