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Sequence Classifiers in C# - Part I: Hidden Markov Models

, 3 Dec 2014 CPOL
Let's understand hidden Markov models before taking a step into hidden conditional random fields.
gestures-bin.zip
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Accord.dll
Accord.MachineLearning.dll
Accord.Math.dll
Accord.Statistics.dll
AForge.dll
AForge.Math.dll
Gestures.exe
Gestures.vshost.exe
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gestures-src.zip
Externals
Accord.Controls.dll
Accord.dll
Accord.MachineLearning.dll
Accord.Math.dll
Accord.Statistics.dll
AForge.dll
AForge.Math.dll
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Properties
Settings.settings
Gestures.csproj.user
Gestures.pidb
Gestures.suo
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      <Point>
        <X>278</X>
        <Y>124</Y>
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      <Point>
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      <Point>
        <X>275</X>
        <Y>143</Y>
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        <Y>148</Y>
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      <Point>
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        <Y>154</Y>
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      <Point>
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        <Y>159</Y>
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        <X>264</X>
        <Y>163</Y>
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      <Point>
        <X>261</X>
        <Y>165</Y>
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        <X>248</X>
        <Y>169</Y>
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      <Point>
        <X>241</X>
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        <X>232</X>
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      <Point>
        <X>225</X>
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        <Y>165</Y>
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      <Point>
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      <Point>
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      <Point>
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        <Y>158</Y>
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      <Point>
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        <Y>158</Y>
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    <Output>1</Output>
    <RecognizedAs>1</RecognizedAs>
  </Sequence>
  <Sequence>
    <Classes>
      <string>Right L</string>
      <string>Left L</string>
      <string>Right</string>
      <string>Left</string>
      <string>Up</string>
      <string>Down</string>
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        <Y>112</Y>
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      <Point>
        <X>234</X>
        <Y>113</Y>
      </Point>
      <Point>
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        <Y>114</Y>
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      <Point>
        <X>234</X>
        <Y>115</Y>
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      <Point>
        <X>234</X>
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      <Point>
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      <Point>
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        <Y>120</Y>
      </Point>
      <Point>
        <X>234</X>
        <Y>125</Y>
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      <Point>
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        <Y>133</Y>
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      <Point>
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      <Point>
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      <Point>
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        <Y>225</Y>
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      <Point>
        <X>236</X>
        <Y>230</Y>
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      <Point>
        <X>236</X>
        <Y>235</Y>
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      <Point>
        <X>236</X>
        <Y>237</Y>
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      <Point>
        <X>234</X>
        <Y>238</Y>
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      <Point>
        <X>230</X>
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      <Point>
        <X>227</X>
        <Y>240</Y>
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      <Point>
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        <Y>240</Y>
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      <Point>
        <X>215</X>
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      <Point>
        <X>206</X>
        <Y>239</Y>
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      <Point>
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        <Y>238</Y>
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      <Point>
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        <Y>236</Y>
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      <Point>
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        <Y>228</Y>
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        <Y>227</Y>
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        <Y>227</Y>
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      <Point>
        <X>143</X>
        <Y>226</Y>
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      <Point>
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        <Y>226</Y>
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      <Point>
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        <Y>226</Y>
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      <Point>
        <X>134</X>
        <Y>226</Y>
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      <Point>
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        <Y>226</Y>
      </Point>
      <Point>
        <X>132</X>
        <Y>226</Y>
      </Point>
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    <Output>1</Output>
    <RecognizedAs>1</RecognizedAs>
  </Sequence>
  <Sequence>
    <Classes>
      <string>Right L</string>
      <string>Left L</string>
      <string>Right</string>
      <string>Left</string>
      <string>Up</string>
      <string>Down</string>
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      <Point>
        <X>244</X>
        <Y>107</Y>
      </Point>
      <Point>
        <X>244</X>
        <Y>109</Y>
      </Point>
      <Point>
        <X>244</X>
        <Y>110</Y>
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      <Point>
        <X>244</X>
        <Y>111</Y>
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      <Point>
        <X>244</X>
        <Y>113</Y>
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      <Point>
        <X>244</X>
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      <Point>
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        <Y>117</Y>
      </Point>
      <Point>
        <X>244</X>
        <Y>119</Y>
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      <Point>
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      <Point>
        <X>244</X>
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      <Point>
        <X>244</X>
        <Y>207</Y>
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      <Point>
        <X>244</X>
        <Y>216</Y>
      </Point>
      <Point>
        <X>244</X>
        <Y>223</Y>
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      <Point>
        <X>244</X>
        <Y>226</Y>
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      <Point>
        <X>244</X>
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      <Point>
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      <Point>
        <X>242</X>
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      <Point>
        <X>235</X>
        <Y>234</Y>
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      <Point>
        <X>227</X>
        <Y>234</Y>
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      <Point>
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        <Y>236</Y>
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      <Point>
        <X>204</X>
        <Y>237</Y>
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      <Point>
        <X>193</X>
        <Y>237</Y>
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      <Point>
        <X>182</X>
        <Y>237</Y>
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      <Point>
        <X>171</X>
        <Y>237</Y>
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      <Point>
        <X>162</X>
        <Y>237</Y>
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      <Point>
        <X>156</X>
        <Y>237</Y>
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      <Point>
        <X>151</X>
        <Y>237</Y>
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      <Point>
        <X>149</X>
        <Y>237</Y>
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      <Point>
        <X>146</X>
        <Y>240</Y>
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      <Point>
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        <Y>240</Y>
      </Point>
      <Point>
        <X>143</X>
        <Y>241</Y>
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    <Output>1</Output>
    <RecognizedAs>1</RecognizedAs>
  </Sequence>
  <Sequence>
    <Classes>
      <string>Right L</string>
      <string>Left L</string>
      <string>Right</string>
      <string>Left</string>
      <string>Up</string>
      <string>Down</string>
    </Classes>
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        <X>107</X>
        <Y>176</Y>
      </Point>
      <Point>
        <X>108</X>
        <Y>176</Y>
      </Point>
      <Point>
        <X>114</X>
        <Y>175</Y>
      </Point>
      <Point>
        <X>130</X>
        <Y>171</Y>
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      <Point>
        <X>152</X>
        <Y>169</Y>
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      <Point>
        <X>182</X>
        <Y>169</Y>
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      <Point>
        <X>222</X>
        <Y>169</Y>
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      <Point>
        <X>249</X>
        <Y>169</Y>
      </Point>
      <Point>
        <X>267</X>
        <Y>170</Y>
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      <Point>
        <X>280</X>
        <Y>170</Y>
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      <Point>
        <X>287</X>
        <Y>172</Y>
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      <Point>
        <X>290</X>
        <Y>172</Y>
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      <Point>
        <X>294</X>
        <Y>173</Y>
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      <Point>
        <X>295</X>
        <Y>173</Y>
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      <Point>
        <X>296</X>
        <Y>173</Y>
      </Point>
      <Point>
        <X>296</X>
        <Y>174</Y>
      </Point>
      <Point>
        <X>297</X>
        <Y>174</Y>
      </Point>
    </SourcePath>
    <Output>2</Output>
    <RecognizedAs>2</RecognizedAs>
  </Sequence>
  <Sequence>
    <Classes>
      <string>Right L</string>
      <string>Left L</string>
      <string>Right</string>
      <string>Left</string>
      <string>Up</string>
      <string>Down</string>
    </Classes>
    <SourcePath>
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        <X>117</X>
        <Y>191</Y>
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        <Y>189</Y>
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      <Point>
        <X>126</X>
        <Y>186</Y>
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      <Point>
        <X>140</X>
        <Y>183</Y>
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      <Point>
        <X>158</X>
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        <X>175</X>
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      <Point>
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      <Point>
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        <Y>179</Y>
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      <Point>
        <X>217</X>
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      <Point>
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        <Y>187</Y>
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      <Point>
        <X>254</X>
        <Y>193</Y>
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      <Point>
        <X>261</X>
        <Y>195</Y>
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      <Point>
        <X>265</X>
        <Y>195</Y>
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      <Point>
        <X>267</X>
        <Y>196</Y>
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      <Point>
        <X>269</X>
        <Y>196</Y>
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      <Point>
        <X>270</X>
        <Y>196</Y>
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      <Point>
        <X>270</X>
        <Y>197</Y>
      </Point>
      <Point>
        <X>270</X>
        <Y>198</Y>
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    <Output>2</Output>
    <RecognizedAs>2</RecognizedAs>
  </Sequence>
  <Sequence>
    <Classes>
      <string>Right L</string>
      <string>Left L</string>
      <string>Right</string>
      <string>Left</string>
      <string>Up</string>
      <string>Down</string>
    </Classes>
    <SourcePath>
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        <X>116</X>
        <Y>198</Y>
      </Point>
      <Point>
        <X>116</X>
        <Y>197</Y>
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      <Point>
        <X>117</X>
        <Y>196</Y>
      </Point>
      <Point>
        <X>118</X>
        <Y>196</Y>
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      <Point>
        <X>121</X>
        <Y>195</Y>
      </Point>
      <Point>
        <X>126</X>
        <Y>195</Y>
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      <Point>
        <X>135</X>
        <Y>195</Y>
      </Point>
      <Point>
        <X>148</X>
        <Y>195</Y>
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      <Point>
        <X>165</X>
        <Y>198</Y>
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      <Point>
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        <Y>202</Y>
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      <Point>
        <X>205</X>
        <Y>205</Y>
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      <Point>
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        <Y>209</Y>
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      <Point>
        <X>241</X>
        <Y>212</Y>
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      <Point>
        <X>252</X>
        <Y>214</Y>
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      <Point>
        <X>259</X>
        <Y>217</Y>
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      <Point>
        <X>263</X>
        <Y>217</Y>
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      <Point>
        <X>266</X>
        <Y>217</Y>
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      <Point>
        <X>269</X>
        <Y>218</Y>
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      <Point>
        <X>270</X>
        <Y>218</Y>
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      <Point>
        <X>271</X>
        <Y>218</Y>
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      <Point>
        <X>273</X>
        <Y>218</Y>
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    <Output>2</Output>
    <RecognizedAs>2</RecognizedAs>
  </Sequence>
  <Sequence>
    <Classes>
      <string>Right L</string>
      <string>Left L</string>
      <string>Right</string>
      <string>Left</string>
      <string>Up</string>
      <string>Down</string>
    </Classes>
    <SourcePath>
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        <X>143</X>
        <Y>211</Y>
      </Point>
      <Point>
        <X>143</X>
        <Y>209</Y>
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      <Point>
        <X>143</X>
        <Y>208</Y>
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      <Point>
        <X>144</X>
        <Y>207</Y>
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      <Point>
        <X>145</X>
        <Y>207</Y>
      </Point>
      <Point>
        <X>148</X>
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      <Point>
        <X>155</X>
        <Y>205</Y>
      </Point>
      <Point>
        <X>166</X>
        <Y>205</Y>
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      <Point>
        <X>181</X>
        <Y>205</Y>
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      <Point>
        <X>201</X>
        <Y>205</Y>
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      <Point>
        <X>220</X>
        <Y>206</Y>
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      <Point>
        <X>240</X>
        <Y>207</Y>
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      <Point>
        <X>257</X>
        <Y>207</Y>
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      <Point>
        <X>269</X>
        <Y>209</Y>
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      <Point>
        <X>275</X>
        <Y>209</Y>
      </Point>
      <Point>
        <X>280</X>
        <Y>209</Y>
      </Point>
      <Point>
        <X>282</X>
        <Y>209</Y>
      </Point>
      <Point>
        <X>283</X>
        <Y>209</Y>
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      <Point>
        <X>284</X>
        <Y>209</Y>
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      <Point>
        <X>284</X>
        <Y>210</Y>
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      <Point>
        <X>284</X>
        <Y>211</Y>
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    <Output>2</Output>
    <RecognizedAs>2</RecognizedAs>
  </Sequence>
  <Sequence>
    <Classes>
      <string>Right L</string>
      <string>Left L</string>
      <string>Right</string>
      <string>Left</string>
      <string>Up</string>
      <string>Down</string>
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        <X>231</X>
        <Y>182</Y>
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      <Point>
        <X>230</X>
        <Y>182</Y>
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        <X>119</X>
        <Y>173</Y>
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      <Point>
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        <Y>174</Y>
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      <Point>
        <X>103</X>
        <Y>175</Y>
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      <Point>
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        <Y>175</Y>
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        <Y>175</Y>
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    <Output>3</Output>
    <RecognizedAs>3</RecognizedAs>
  </Sequence>
  <Sequence>
    <Classes>
      <string>Right L</string>
      <string>Left L</string>
      <string>Right</string>
      <string>Left</string>
      <string>Up</string>
      <string>Down</string>
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    <Output>3</Output>
    <RecognizedAs>3</RecognizedAs>
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  <Sequence>
    <Classes>
      <string>Right L</string>
      <string>Left L</string>
      <string>Right</string>
      <string>Left</string>
      <string>Up</string>
      <string>Down</string>
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    <Output>3</Output>
    <RecognizedAs>3</RecognizedAs>
  </Sequence>
  <Sequence>
    <Classes>
      <string>Right L</string>
      <string>Left L</string>
      <string>Right</string>
      <string>Left</string>
      <string>Up</string>
      <string>Down</string>
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    <Output>4</Output>
    <RecognizedAs>4</RecognizedAs>
  </Sequence>
  <Sequence>
    <Classes>
      <string>Right L</string>
      <string>Left L</string>
      <string>Right</string>
      <string>Left</string>
      <string>Up</string>
      <string>Down</string>
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    <Output>4</Output>
    <RecognizedAs>4</RecognizedAs>
  </Sequence>
  <Sequence>
    <Classes>
      <string>Right L</string>
      <string>Left L</string>
      <string>Right</string>
      <string>Left</string>
      <string>Up</string>
      <string>Down</string>
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    <Output>4</Output>
    <RecognizedAs>4</RecognizedAs>
  </Sequence>
  <Sequence>
    <Classes>
      <string>Right L</string>
      <string>Left L</string>
      <string>Right</string>
      <string>Left</string>
      <string>Up</string>
      <string>Down</string>
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    <Output>4</Output>
    <RecognizedAs>4</RecognizedAs>
  </Sequence>
  <Sequence>
    <Classes>
      <string>Right L</string>
      <string>Left L</string>
      <string>Right</string>
      <string>Left</string>
      <string>Up</string>
      <string>Down</string>
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    <RecognizedAs>5</RecognizedAs>
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  <Sequence>
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      <string>Right L</string>
      <string>Left L</string>
      <string>Right</string>
      <string>Left</string>
      <string>Up</string>
      <string>Down</string>
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      <string>Left L</string>
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    <Classes>
      <string>Right L</string>
      <string>Left L</string>
      <string>Right</string>
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      <string>Left L</string>
      <string>Right</string>
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About the Author

César de Souza
Engineer Xerox Research Center Europe
Brazil Brazil
Computer and technology enthusiast, interested in artificial intelligence and image processing. Has a Master's degree on Computer Science specialized on Image and Signal Processing, with expertise on Machine Learning, Computer Vision, Pattern Recognition and Data Mining systems. Author of the Accord.NET Framework for developing scientific computing applications.
 
If you would like to hire good developers to build your dream application, please check out DaitanGroup, one of the top outsourcing companies in Brazil. This company, located in Brazil's Sillicon Valley but with US-based offices, has huge experience developing telecommunications software for large and small companies worldwide.
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