diff --git a/examples/ccdec.rs b/examples/ccdec.rs
index 6b105945..b92948ce 100644
--- a/examples/ccdec.rs
+++ b/examples/ccdec.rs
@@ -344,7 +344,7 @@ fn main() {
     let display = libva::Display::open().expect("failed to open libva display");
     let (mut decoder, frame_iter) = match args.input_format {
         EncodedFormat::H264 => {
-            let frame_iter = Box::new(NalIterator::<H264Nalu>::new(&input).map(Cow::Borrowed))
+            let frame_iter = Box::new(NalIterator::<H264Nalu>::new(&input))
                 as Box<dyn Iterator<Item = Cow<[u8]>>>;
 
             let decoder = Box::new(StatelessDecoder::<H264, _>::new_vaapi(
@@ -375,7 +375,7 @@ fn main() {
             (decoder, frame_iter)
         }
         EncodedFormat::H265 => {
-            let frame_iter = Box::new(NalIterator::<H265Nalu>::new(&input).map(Cow::Borrowed))
+            let frame_iter = Box::new(NalIterator::<H265Nalu>::new(&input))
                 as Box<dyn Iterator<Item = Cow<[u8]>>>;
 
             let decoder = Box::new(StatelessDecoder::<H265, _>::new_vaapi(
diff --git a/src/codec/h264/nalu.rs b/src/codec/h264/nalu.rs
index d4e80369..546df9c9 100644
--- a/src/codec/h264/nalu.rs
+++ b/src/codec/h264/nalu.rs
@@ -4,6 +4,7 @@
 
 use anyhow::anyhow;
 use bytes::Buf;
+use std::borrow::Cow;
 use std::fmt::Debug;
 use std::io::Cursor;
 
@@ -22,7 +23,7 @@ pub struct Nalu<'a, U> {
     pub header: U,
     /// The mapping that backs this NALU. Possibly shared with the other NALUs
     /// in the Access Unit.
-    pub data: &'a [u8],
+    pub data: Cow<'a, [u8]>,
 
     pub size: usize,
     pub offset: usize,
@@ -80,10 +81,10 @@ where
 
         Ok(Nalu {
             header: hdr,
-            data: bitstream,
+            data: Cow::from(&bitstream[start_code_offset..nalu_offset + nal_size]),
             size: nal_size,
-            offset: nalu_offset,
-            sc_offset: start_code_offset,
+            offset: nalu_offset - start_code_offset,
+            sc_offset: 0,
         })
     }
 }
diff --git a/src/utils.rs b/src/utils.rs
index 351bda63..6df63e66 100644
--- a/src/utils.rs
+++ b/src/utils.rs
@@ -7,6 +7,7 @@
 //! This module is for anything that doesn't fit into the other top-level modules. Try not to add
 //! new code here unless it really doesn't belong anywhere else.
 
+use std::borrow::Cow;
 use std::io::Cursor;
 use std::io::Seek;
 use std::marker::PhantomData;
@@ -164,30 +165,18 @@ impl<'a, Nalu> NalIterator<'a, Nalu> {
 }
 
 impl<'a> Iterator for NalIterator<'a, H264Nalu<'a>> {
-    type Item = &'a [u8];
+    type Item = Cow<'a, [u8]>;
 
     fn next(&mut self) -> Option<Self::Item> {
-        H264Nalu::next(&mut self.0)
-            .map(|n| {
-                let start = n.sc_offset;
-                let end = n.offset + n.size;
-                &n.data[start..end]
-            })
-            .ok()
+        H264Nalu::next(&mut self.0).map(|n| n.data).ok()
     }
 }
 
 impl<'a> Iterator for NalIterator<'a, H265Nalu<'a>> {
-    type Item = &'a [u8];
+    type Item = Cow<'a, [u8]>;
 
     fn next(&mut self) -> Option<Self::Item> {
-        H265Nalu::next(&mut self.0)
-            .map(|n| {
-                let start = n.sc_offset;
-                let end = n.offset + n.size;
-                &n.data[start..end]
-            })
-            .ok()
+        H265Nalu::next(&mut self.0).map(|n| n.data).ok()
     }
 }