Java Web サーバー環境でカスタム フィルターを使用して HTTP サーブレット応答出力をログに記録するにはどうすればよいですか?

// Filter
public class ResponseLogger implements Filter {
  @Override
  public void doFilter(ServletRequest request, ServletResponse response, FilterChain chain) {
    HttpServletResponseCopier copier = new HttpServletResponseCopier((HttpServletResponse) response);
    chain.doFilter(request, copier);
    byte[] copy = copier.getCopy();
    // Log the copied response content...
  }
}

// Custom HttpServletResponseWrapper
public class HttpServletResponseCopier extends HttpServletResponseWrapper {
  private ServletOutputStreamCopier copier;

  @Override
  public ServletOutputStream getOutputStream() throws IOException {
    if (copier == null) copier = new ServletOutputStreamCopier(super.getOutputStream());
    return copier;
  }
}

// Custom ServletOutputStream
public class ServletOutputStreamCopier extends ServletOutputStream {
  private ByteArrayOutputStream copy;

  @Override
  public void write(int b) {
    super.write(b);
    copy.write(b);
  }

  public byte[] getCopy() {
    return copy.toByteArray();
  }
}