Combining Haar Wavelet and Karhunen Loeve Transforms for Medical Images Watermarking

<table class="table-group" id="tab6"><tr><td><table class="table"><tr><td class="thead-hr" colspan="4"><hr/></td></tr><tr class="thead"><td align="left">Window size</td><td align="center">PSNR (dB)</td><td align="center">WPSNR (dB)</td><td align="center">NC</td></tr><tr><td class="thead-hr" colspan="4"><hr/></td></tr><tr><td align="left"><svg height="14.85" id="M161" style="vertical-align:-2.22495pt" version="1.1" viewbox="0 0 5.9875002 14.85" width="5.9875002" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink">
<g transform="matrix(.017,-0,0,-.017,.062,12.012)"><path d="M290 -163h-170v866h170v-28q-79 -7 -94 -19.5t-15 -72.5v-627q0 -59 14.5 -71.5t94.5 -19.5v-28z" id="x5B"></path></g>
</svg>32 × 32<svg height="14.85" id="M162" style="vertical-align:-2.22495pt" version="1.1" viewbox="0 0 5.9875002 14.85" width="5.9875002" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink">
<g transform="matrix(.017,-0,0,-.017,.062,12.012)"><path d="M226 -163h-170v27q79 7 94 20t15 73v627q0 59 -15 72t-94 20v27h170v-866z" id="x5D"></path></g>
</svg></td><td align="center">35.0841</td><td align="center">41.1315</td><td align="center"><b>1.0000</b></td></tr><tr><td align="left"><svg height="14.85" id="M163" style="vertical-align:-2.22495pt" version="1.1" viewbox="0 0 5.9875002 14.85" width="5.9875002" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink">
<g transform="matrix(.017,-0,0,-.017,.062,12.012)"><path d="M290 -163h-170v866h170v-28q-79 -7 -94 -19.5t-15 -72.5v-627q0 -59 14.5 -71.5t94.5 -19.5v-28z" id="x5B"></path></g>
</svg>64 × 64<svg height="14.85" id="M164" style="vertical-align:-2.22495pt" version="1.1" viewbox="0 0 5.9875002 14.85" width="5.9875002" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink">
<g transform="matrix(.017,-0,0,-.017,.062,12.012)"><path d="M226 -163h-170v27q79 7 94 20t15 73v627q0 59 -15 72t-94 20v27h170v-866z" id="x5D"></path></g>
</svg></td><td align="center">24.2723</td><td align="center">30.2761</td><td align="center"><b>1.0000</b></td></tr><tr><td align="left"><svg height="14.85" id="M165" style="vertical-align:-2.22495pt" version="1.1" viewbox="0 0 5.9875002 14.85" width="5.9875002" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink">
<g transform="matrix(.017,-0,0,-.017,.062,12.012)"><path d="M290 -163h-170v866h170v-28q-79 -7 -94 -19.5t-15 -72.5v-627q0 -59 14.5 -71.5t94.5 -19.5v-28z" id="x5B"></path></g>
</svg>96 × 96<svg height="14.85" id="M166" style="vertical-align:-2.22495pt" version="1.1" viewbox="0 0 5.9875002 14.85" width="5.9875002" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink">
<g transform="matrix(.017,-0,0,-.017,.062,12.012)"><path d="M226 -163h-170v27q79 7 94 20t15 73v627q0 59 -15 72t-94 20v27h170v-866z" id="x5D"></path></g>
</svg></td><td align="center">19.9352</td><td align="center">25.9459</td><td align="center"><b>1.0000</b></td></tr><tr><td align="left"><svg height="14.85" id="M167" style="vertical-align:-2.22495pt" version="1.1" viewbox="0 0 5.9875002 14.85" width="5.9875002" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink">
<g transform="matrix(.017,-0,0,-.017,.062,12.012)"><path d="M290 -163h-170v866h170v-28q-79 -7 -94 -19.5t-15 -72.5v-627q0 -59 14.5 -71.5t94.5 -19.5v-28z" id="x5B"></path></g>
</svg>128 × 128<svg height="14.85" id="M168" style="vertical-align:-2.22495pt" version="1.1" viewbox="0 0 5.9875002 14.85" width="5.9875002" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink">
<g transform="matrix(.017,-0,0,-.017,.062,12.012)"><path d="M226 -163h-170v27q79 7 94 20t15 73v627q0 59 -15 72t-94 20v27h170v-866z" id="x5D"></path></g>
</svg></td><td align="center">17.5275</td><td align="center">23.5390</td><td align="center"><b>0.9896</b></td></tr><tr><td align="left"><svg height="14.85" id="M169" style="vertical-align:-2.22495pt" version="1.1" viewbox="0 0 5.9875002 14.85" width="5.9875002" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink">
<g transform="matrix(.017,-0,0,-.017,.062,12.012)"><path d="M290 -163h-170v866h170v-28q-79 -7 -94 -19.5t-15 -72.5v-627q0 -59 14.5 -71.5t94.5 -19.5v-28z" id="x5B"></path></g>
</svg>160 × 160<svg height="14.85" id="M170" style="vertical-align:-2.22495pt" version="1.1" viewbox="0 0 5.9875002 14.85" width="5.9875002" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink">
<g transform="matrix(.017,-0,0,-.017,.062,12.012)"><path d="M226 -163h-170v27q79 7 94 20t15 73v627q0 59 -15 72t-94 20v27h170v-866z" id="x5D"></path></g>
</svg></td><td align="center">16.1426</td><td align="center">22.1554</td><td align="center"><b>0.9793</b></td></tr><tr class="table-tr"><td colspan="4"><hr class="tbody-hr"/></td></tr></table></td></tr></table>


							PSNR, WPSNR, and Normalized Cross-Correlation  for watermarked and attacked by “cropping.”

BioMed Research International

tab6

Table 6

Table 6: Combining Haar Wavelet and Karhunen Loeve Transforms for Medical Images Watermarking 