diff --git a/src/java/org/apache/poi/hssf/usermodel/HSSFPicture.java b/src/java/org/apache/poi/hssf/usermodel/HSSFPicture.java
index 1afb30f5a6..8d2dd79641 100644
--- a/src/java/org/apache/poi/hssf/usermodel/HSSFPicture.java
+++ b/src/java/org/apache/poi/hssf/usermodel/HSSFPicture.java
@@ -235,6 +235,12 @@ public class HSSFPicture
                     BufferedImage img = r.read(0);
 
                     int[] dpi = getResolution(r);
+
+                    //if DPI is zero then assume standard 96 DPI
+                    //since cannot divide by zero
+                    if (dpi[0] == 0) dpi[0] = 96;
+                    if (dpi[1] == 0) dpi[1] = 96;
+                    
                     size.width = img.getWidth()*96/dpi[0];
                     size.height = img.getHeight()*96/dpi[1];
 
diff --git a/src/testcases/org/apache/poi/hssf/data/45829.png b/src/testcases/org/apache/poi/hssf/data/45829.png
new file mode 100755
index 0000000000..eccaf30b26
Binary files /dev/null and b/src/testcases/org/apache/poi/hssf/data/45829.png differ
diff --git a/src/testcases/org/apache/poi/hssf/usermodel/TestHSSFPicture.java b/src/testcases/org/apache/poi/hssf/usermodel/TestHSSFPicture.java
index 87578ae01b..d1a6719e32 100644
--- a/src/testcases/org/apache/poi/hssf/usermodel/TestHSSFPicture.java
+++ b/src/testcases/org/apache/poi/hssf/usermodel/TestHSSFPicture.java
@@ -47,4 +47,18 @@ public final class TestHSSFPicture extends TestCase{
         assertEquals(848, anchor1.getDx2());
         assertEquals(240, anchor1.getDy2());
     }
+
+    /**
+     * Bug # 45829 reported ArithmeticException (/ by zero) when resizing png with zero DPI.
+     */
+    public void test45829() {
+        HSSFWorkbook wb = new HSSFWorkbook();
+        HSSFSheet sh1 = wb.createSheet();
+        HSSFPatriarch p1 = sh1.createDrawingPatriarch();
+
+        byte[] pictureData = HSSFTestDataSamples.getTestDataFileContent("45829.png");
+        int idx1 = wb.addPicture( pictureData, HSSFWorkbook.PICTURE_TYPE_PNG );
+        HSSFPicture pic = p1.createPicture(new HSSFClientAnchor(), idx1);
+        pic.resize();
+    }
 }