diff --git a/rfb/ComparingUpdateTracker.cxx b/rfb/ComparingUpdateTracker.cxx
index 0c44d85..0b548a6 100644
--- a/rfb/ComparingUpdateTracker.cxx
+++ b/rfb/ComparingUpdateTracker.cxx
@@ -60,7 +60,7 @@
     // since in effect the entire framebuffer has changed.
     oldFb.setSize(fb->width(), fb->height());
     for (int y=0; y<fb->height(); y+=BLOCK_SIZE) {
-      Rect pos(0, y, fb->width(), min(fb->height(), y+BLOCK_SIZE));
+      Rect pos(0, y, fb->width(), vncmin(fb->height(), y+BLOCK_SIZE));
       int srcStride;
       const rdr::U8* srcData = fb->getPixelsR(pos, &srcStride);
       oldFb.imageRect(pos, srcData, srcStride);
@@ -100,20 +100,20 @@
   for (int blockTop = r.tl.y; blockTop < r.br.y; blockTop += BLOCK_SIZE)
   {
     // Get a strip of the source buffer
-    Rect pos(r.tl.x, blockTop, r.br.x, min(r.br.y, blockTop+BLOCK_SIZE));
+    Rect pos(r.tl.x, blockTop, r.br.x, vncmin(r.br.y, blockTop+BLOCK_SIZE));
     int fbStride;
     const rdr::U8* newBlockPtr = fb->getPixelsR(pos, &fbStride);
     int newStrideBytes = fbStride * bytesPerPixel;
 
     rdr::U8* oldBlockPtr = oldData;
-    int blockBottom = min(blockTop+BLOCK_SIZE, r.br.y);
+    int blockBottom = vncmin(blockTop+BLOCK_SIZE, r.br.y);
 
     for (int blockLeft = r.tl.x; blockLeft < r.br.x; blockLeft += BLOCK_SIZE)
     {
       const rdr::U8* newPtr = newBlockPtr;
       rdr::U8* oldPtr = oldBlockPtr;
 
-      int blockRight = min(blockLeft+BLOCK_SIZE, r.br.x);
+      int blockRight = vncmin(blockLeft+BLOCK_SIZE, r.br.x);
       int blockWidthInBytes = (blockRight-blockLeft) * bytesPerPixel;
 
       for (int y = blockTop; y < blockBottom; y++)
diff --git a/rfb/Rect.h b/rfb/Rect.h
index ee43e66..0ddf36c 100644
--- a/rfb/Rect.h
+++ b/rfb/Rect.h
@@ -21,13 +21,7 @@
 #ifndef __RFB_RECT_INCLUDED__
 #define __RFB_RECT_INCLUDED__
 
-#ifndef max
-#define max(a,b)            (((a) > (b)) ? (a) : (b))
-#endif
-
-#ifndef min
-#define min(a,b)            (((a) < (b)) ? (a) : (b))
-#endif
+#include <rfb/util.h>
 
 namespace rfb {
 
@@ -70,20 +64,20 @@
     }
     inline Rect intersect(const Rect &r) const {
       Rect result;
-      result.tl.x = max(tl.x, r.tl.x);
-      result.tl.y = max(tl.y, r.tl.y);
-      result.br.x = max(min(br.x, r.br.x), result.tl.x);
-      result.br.y = max(min(br.y, r.br.y), result.tl.y);
+      result.tl.x = vncmax(tl.x, r.tl.x);
+      result.tl.y = vncmax(tl.y, r.tl.y);
+      result.br.x = vncmax(vncmin(br.x, r.br.x), result.tl.x);
+      result.br.y = vncmax(vncmin(br.y, r.br.y), result.tl.y);
       return result;
     }
     inline Rect union_boundary(const Rect &r) const {
       if (r.is_empty()) return *this;
       if (is_empty()) return r;
       Rect result;
-      result.tl.x = min(tl.x, r.tl.x);
-      result.tl.y = min(tl.y, r.tl.y);
-      result.br.x = max(br.x, r.br.x);
-      result.br.y = max(br.y, r.br.y);
+      result.tl.x = vncmin(tl.x, r.tl.x);
+      result.tl.y = vncmin(tl.y, r.tl.y);
+      result.br.x = vncmax(br.x, r.br.x);
+      result.br.y = vncmax(br.y, r.br.y);
       return result;
     }
     inline Rect translate(const Point &p) const {
diff --git a/rfb/hextileDecode.h b/rfb/hextileDecode.h
index dc685e3..0c5559a 100644
--- a/rfb/hextileDecode.h
+++ b/rfb/hextileDecode.h
@@ -52,11 +52,11 @@
 
   for (t.tl.y = r.tl.y; t.tl.y < r.br.y; t.tl.y += 16) {
 
-    t.br.y = min(r.br.y, t.tl.y + 16);
+    t.br.y = vncmin(r.br.y, t.tl.y + 16);
 
     for (t.tl.x = r.tl.x; t.tl.x < r.br.x; t.tl.x += 16) {
 
-      t.br.x = min(r.br.x, t.tl.x + 16);
+      t.br.x = vncmin(r.br.x, t.tl.x + 16);
 
       int tileType = is->readU8();
 
diff --git a/rfb/hextileEncode.h b/rfb/hextileEncode.h
index a55842a..15c8862 100644
--- a/rfb/hextileEncode.h
+++ b/rfb/hextileEncode.h
@@ -60,11 +60,11 @@
 
   for (t.tl.y = r.tl.y; t.tl.y < r.br.y; t.tl.y += 16) {
 
-    t.br.y = min(r.br.y, t.tl.y + 16);
+    t.br.y = vncmin(r.br.y, t.tl.y + 16);
 
     for (t.tl.x = r.tl.x; t.tl.x < r.br.x; t.tl.x += 16) {
 
-      t.br.x = min(r.br.x, t.tl.x + 16);
+      t.br.x = vncmin(r.br.x, t.tl.x + 16);
 
       GET_IMAGE_INTO_BUF(t,buf);
 
diff --git a/rfb/util.h b/rfb/util.h
index d792c8d..b654170 100644
--- a/rfb/util.h
+++ b/rfb/util.h
@@ -23,6 +23,13 @@
 #ifndef __RFB_UTIL_H__
 #define __RFB_UTIL_H__
 
+#ifndef vncmin
+#define vncmin(a,b)            (((a) < (b)) ? (a) : (b))
+#endif
+#ifndef vncmax
+#define vncmax(a,b)            (((a) > (b)) ? (a) : (b))
+#endif
+
 #include <string.h>
 
 namespace rfb {
@@ -67,21 +74,6 @@
 }
 #endif
 
-// Some platforms (e.g. Windows) include max() and min() macros in their
-// standard headers, so we define them only when not already defined.  Note
-// also that max() & min() are standard C++ template functions, so some C++
-// headers will undefine them.  We place our definitions outside the #ifndef
-// __RFB_UTIL_H__, so that you can always guarantee they will be defined if
-// this file is the last #include before you use them.
-
-#ifndef max
-#define max(a,b)            (((a) > (b)) ? (a) : (b))
-#endif
-
-#ifndef min
-#define min(a,b)            (((a) < (b)) ? (a) : (b))
-#endif
-
 
 // -=- PLATFORM SPECIFIC UTILITY FUNCTIONS/IMPLEMENTATIONS
 #ifdef WIN32
diff --git a/rfb/zrleDecode.h b/rfb/zrleDecode.h
index b5391b1..e1f85f7 100644
--- a/rfb/zrleDecode.h
+++ b/rfb/zrleDecode.h
@@ -61,11 +61,11 @@
 
   for (t.tl.y = r.tl.y; t.tl.y < r.br.y; t.tl.y += 64) {
 
-    t.br.y = min(r.br.y, t.tl.y + 64);
+    t.br.y = vncmin(r.br.y, t.tl.y + 64);
 
     for (t.tl.x = r.tl.x; t.tl.x < r.br.x; t.tl.x += 64) {
 
-      t.br.x = min(r.br.x, t.tl.x + 64);
+      t.br.x = vncmin(r.br.x, t.tl.x + 64);
 
       int mode = zis->readU8();
       bool rle = mode & 128;
diff --git a/rfb/zrleEncode.h b/rfb/zrleEncode.h
index a1582f2..42505a3 100644
--- a/rfb/zrleEncode.h
+++ b/rfb/zrleEncode.h
@@ -130,7 +130,7 @@
 
   for (t.tl.y = r.tl.y; t.tl.y < r.br.y; t.tl.y += 64) {
 
-    t.br.y = min(r.br.y, t.tl.y + 64);
+    t.br.y = vncmin(r.br.y, t.tl.y + 64);
 
     if (os->length() + worstCaseLine > maxLen) {
       if (t.tl.y == r.tl.y)
@@ -143,7 +143,7 @@
 
     for (t.tl.x = r.tl.x; t.tl.x < r.br.x; t.tl.x += 64) {
 
-      t.br.x = min(r.br.x, t.tl.x + 64);
+      t.br.x = vncmin(r.br.x, t.tl.x + 64);
 
       GET_IMAGE_INTO_BUF(t,buf);