diff --git a/src/vulkan/vulkan_util.h b/src/vulkan/vulkan_util.h
index 9329a56b..b78da00e 100644
--- a/src/vulkan/vulkan_util.h
+++ b/src/vulkan/vulkan_util.h
@@ -120,3 +120,29 @@ inline bool operator != (VkExtent2D a, VkExtent2D b) {
   return a.width  != b.width
       || a.height != b.height;
 }
+
+
+inline bool operator == (VkOffset3D a, VkOffset3D b) {
+  return a.x == b.x
+      && a.y == b.y
+      && a.z == b.z;
+}
+
+
+inline bool operator != (VkOffset3D a, VkOffset3D b) {
+  return a.x != b.x
+      || a.y != b.y
+      || a.z != b.z;
+}
+
+
+inline bool operator == (VkOffset2D a, VkOffset2D b) {
+  return a.x == b.x
+      && a.y == b.y;
+}
+
+
+inline bool operator != (VkOffset2D a, VkOffset2D b) {
+  return a.x != b.x
+      || a.y != b.y;
+}