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  <tspan id="tspan1668" style="letter-spacing:2.1813" fill="#ffffff" dx="0 -0.57057059 0 0 0 0 0">::INTERPOLAR</tspan>
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<!--Author: Ryan Lerch, ryanlerch at gmail dot com-->
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  <flowDiv xml:space="preserve">Este tutorial explica como usar a extensão Interpolar do Inkscape</flowDiv>
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  <tspan y="77.8910154" x="10">Introdução</tspan>
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  <flowDiv xml:space="preserve">A extensão Interpolar faz a <flowSpan font-style="italic">interpolação linear</flowSpan> entre 2 ou mais caminhos selecionados. Basicamente significa que &quot;preenche os espaços&quot; entre os caminhos e os transforma de acordo com o número de passos dados.</flowDiv>
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  <flowDiv xml:space="preserve">Para usar a extensão Interpolar, selecione os caminhos que deseja transformar e aceda ao menu <flowSpan font-family="sans-serif">Extensões &gt; Gerar do Caminho &gt; Interpolar</flowSpan>.</flowDiv>
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  <flowDiv xml:space="preserve">Antes de usar esta extensão, os objetos que serão transformados têm de ser <flowSpan font-style="italic">caminhos</flowSpan>. Isto é feito pela seleção do objeto e usando <flowSpan font-family="sans-serif">Caminho &gt;  Converter Objeto num Caminho</flowSpan> ou <flowSpan font-weight="bold">Shift+Ctrl+C</flowSpan>. Se os objetos não forem caminhos antes de aplicar a extensão, não terá efeito nenhum neles.</flowDiv>
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  <tspan y="243.9205504" x="10">Interpolação entre 2 caminhos idênticos</tspan>
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  <flowDiv xml:space="preserve">O uso mais simples da extensão Interpolar é para interpolar entre 2 caminhos que sejam idênticos. Quando a extensão é utilizada, resulta no espaço entre os 2 caminhos que é preenchido com duplicados dos caminhos originais. O número de passos define quantos destes caminhos duplicados serão criados.</flowDiv>
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  <flowDiv xml:space="preserve">Por exemplo, veja os seguintes 2 caminhos:</flowDiv>
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  <flowDiv xml:space="preserve">Agora, selecione os 2 caminhos e execute a extensão Interpolar com as configurações mostradas na seguinte imagem.</flowDiv>
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  <flowDiv xml:space="preserve">Como pode ser visto no resultado acima, o espaço entre os 2 caminhos de forma circular foi preenchido com 6 (o número de passos de interpolação) outros caminhos circulares. Note também que a extensão agrupa todas estas formas geométricas.</flowDiv>
 </flowRoot>
 <text style="writing-mode:lr" font-weight="bold" font-size="8" y="578.2315712" x="10" font-family="sans-serif" fill="#000000">
  <tspan y="578.2315712" x="10">Interpolação entre 2 caminhos diferentes</tspan>
 </text>
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 <flowRoot font-size="8" font-family="serif" line-height="133.00000%" fill="#000000">
  <flowRegion>
   <use y="0" x="0" xlink:href="#d0e92"/>
  </flowRegion>
  <flowDiv xml:space="preserve">Quando a interpolação é feita em 2 caminhos diferentes, o programa interpola a forma de um caminho para o outro. O que resulta numa sequência de caminhos de fusão entre ambos os caminhos iniciais, com a regularidade ainda definida pelo valor dos Passos de Interpolação.</flowDiv>
 </flowRoot>
 <rect id="d0e95" display="none" height="1e3px" width="288" y="644.05" x="10"/>
 <flowRoot font-size="8" font-family="serif" line-height="133.00000%" fill="#000000">
  <flowRegion>
   <use y="0" x="0" xlink:href="#d0e95"/>
  </flowRegion>
  <flowDiv xml:space="preserve">Por exemplo, veja os seguintes 2 caminhos:</flowDiv>
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  <path id="interpolate-f03-pt.svgpath4455" d="m38.172 69.145c10.119 0 18.266 8.147 18.266 18.266s-8.147 18.269-18.266 18.269-18.265-8.15-18.265-18.269 8.146-18.266 18.265-18.266z" inkscape:export-ydpi="88.379997" inkscape:export-filename="C:\Documents and Settings\ryan\Desktop\interpolate1.png" inkscape:export-xdpi="88.379997"/>
  <path id="interpolate-f03-pt.svgpath4457" d="m281.59 76.452l-18.27 29.228-18.26-29.228h36.53z" inkscape:export-ydpi="88.379997" sodipodi:nodetypes="cccc" inkscape:export-filename="C:\Documents and Settings\ryan\Desktop\interpolate1.png" inkscape:export-xdpi="88.379997"/>
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  <flowRegion>
   <use y="0" x="0" xlink:href="#d0e108"/>
  </flowRegion>
  <flowDiv xml:space="preserve">Agora selecione os 2 caminhos e execute a extensão Interpolar. O resultado deve ser algo como:</flowDiv>
 </flowRoot>
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   <path id="interpolate-f04-pt.svgpath2534" d="m453.79 409.84c2.77 0-9.09 24.76-17.95 41.71-4.08 7.37-7.26 12.91-7.62 13.61-0.84 1.59-10.62-10.31-20.33-22.77-8.9-11.5-17.32-23.4-18.22-24.71-0.56-0.8 6.36-1.78 15.81-2.84 17.76-2.77 45.54-5 48.31-5"/>
   <path id="interpolate-f04-pt.svgpath2536" d="m387.15 407.84c5.54 0-1.73 23.23-9.12 40.59-3.4 7.12-6.29 12.66-7.01 14.05-1.67 3.19-11.77-5.46-22.12-15.85-9.41-9.58-18.17-20.49-19.97-23.1-1.12-1.61 4.26-3.57 12.14-5.69 14.79-5.54 40.54-10 46.08-10"/>
   <path id="interpolate-f04-pt.svgpath2538" d="m320.52 405.84c8.31 0 5.61 21.71-0.3 39.47-2.72 6.87-5.31 12.41-6.4 14.49-2.5 4.79-12.92-0.62-23.9-8.93-9.92-7.66-19.04-17.58-21.74-21.49-1.68-2.42 2.17-5.36 8.47-8.54 11.84-8.31 35.56-15 43.87-15"/>
   <path id="interpolate-f04-pt.svgpath2540" d="m253.89 403.84c11.08 0 12.96 20.18 8.52 38.35-2.03 6.62-4.34 12.16-5.79 14.93-3.34 6.38-14.07 4.22-25.68-2.01-10.43-5.75-19.9-14.67-23.51-19.88-2.23-3.23 0.08-7.15 4.81-11.39 8.87-11.08 30.57-20 41.65-20"/>
   <path id="interpolate-f04-pt.svgpath2542" d="m187.26 401.84c13.85 0 20.3 18.66 17.35 37.23-1.36 6.38-3.38 11.91-5.19 15.38-4.17 7.97-15.22 9.06-27.46 4.9-10.95-3.83-20.77-11.76-25.27-18.27-2.8-4.03-2.02-8.94 1.13-14.24 5.92-13.85 25.59-25 39.44-25"/>
   <path id="interpolate-f04-pt.svgpath2544" d="m120.62 399.84c16.62 0 27.66 17.13 26.18 36.11-0.68 6.13-2.41 11.66-4.58 15.82-5 9.57-16.37 13.9-29.25 11.82-11.45-1.91-21.626-8.85-27.032-16.66-3.354-4.84-4.108-10.73-2.532-17.09 2.959-16.62 20.594-30 37.214-30"/>
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  <flowRoot id="interpolate-f04-pt.svgflowRoot2609" xml:space="preserve" transform="translate(-291.31 26.535)" font-size="6px" font-family="sans-serif" fill="#000000"><flowRegion id="interpolate-f04-pt.svgflowRegion2611"><rect id="interpolate-f04-pt.svgrect2613" height="133.57" width="127.14" y="15.934" x="290.71"/></flowRegion><flowPara id="interpolate-f04-pt.svgflowPara2615">Expoente: 0.0</flowPara><flowPara id="interpolate-f04-pt.svgflowPara2617">Passos de Interpolação: 6</flowPara><flowPara id="interpolate-f04-pt.svgflowPara2619">Método de Interpolação: 2</flowPara><flowPara id="interpolate-f04-pt.svgflowPara2621">Duplicar caminhos finais: desativado</flowPara><flowPara id="interpolate-f04-pt.svgflowPara2623">Estilo de interpolação: desativado</flowPara></flowRoot>
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 <rect id="d0e121" display="none" height="1e3px" width="288" y="849.72" x="10"/>
 <flowRoot font-size="8" font-family="serif" line-height="133.00000%" fill="#000000">
  <flowRegion>
   <use y="0" x="0" xlink:href="#d0e121"/>
  </flowRegion>
  <flowDiv xml:space="preserve">Como se pode ver pelo resultado acima, o espaço entre o caminho com a forma de círculo e a forma de triângulo foi preenchido com 6 caminhos que fazem a gradação entre uma forma e a outra.</flowDiv>
 </flowRoot>
 <rect id="d0e124" display="none" height="1e3px" width="288" y="888.86" x="10"/>
 <flowRoot font-size="8" font-family="serif" line-height="133.00000%" fill="#000000">
  <flowRegion>
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  <flowDiv xml:space="preserve">Ao usar a extensão Interpolar em 2 caminhos diferentes, a <flowSpan font-style="italic">posição</flowSpan> do nó inicial de cada caminho é importante. Para encontrar o nó inicial de cada caminho, selecione o caminho, depois selecione a Ferramenta de Nó para que os nós sejam mostrados e pressione a tecla <flowSpan font-weight="bold">TAB</flowSpan>. O primeiro nó destacado é o primeiro nó do caminho.</flowDiv>
 </flowRoot>
 <rect id="d0e133" display="none" height="1e3px" width="288" y="949.3" x="10"/>
 <flowRoot font-size="8" font-family="serif" line-height="133.00000%" fill="#000000">
  <flowRegion>
   <use y="0" x="0" xlink:href="#d0e133"/>
  </flowRegion>
  <flowDiv xml:space="preserve">A imagem abaixo é idêntica ao exemplo anterior, exceto nos pontos de nós mostrados. O nó verde de cada caminho é o nó inicial.</flowDiv>
 </flowRoot>
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  <path id="interpolate-f05-pt.svgpath4457" stroke-linejoin="round" d="m263.68 9.3801l-18.27 29.225-18.26-29.225 36.53 0.0001z" inkscape:export-ydpi="88.379997" sodipodi:nodetypes="cccc" inkscape:export-filename="C:\Documents and Settings\ryan\Desktop\interpolate1.png" stroke="#2e75ac" inkscape:export-xdpi="88.379997" stroke-width="4.0482" fill="#0cf"/>
  <rect id="interpolate-f05-pt.svgrect2473" transform="rotate(135.48)" height="2.9821" width="2.9821" y="-16.968" x="-14.604" fill="#0f0"/>
  <rect id="interpolate-f05-pt.svgrect2475" transform="rotate(135.48)" height="2.9821" width="2.9821" y="-43.997" x="-14.271" fill="#ccc"/>
  <rect id="interpolate-f05-pt.svgrect2477" transform="rotate(135.48)" height="2.9821" width="2.9821" y="-43.648" x="10.895" fill="#ccc"/>
  <rect id="interpolate-f05-pt.svgrect2479" transform="rotate(135.48)" height="2.9821" width="2.9821" y="-17.746" x="11.67" fill="#ccc"/>
  <rect id="interpolate-f05-pt.svgrect2481" transform="rotate(135.48)" height="2.9821" width="2.9821" y="-168.8" x="-157.71" fill="#ccc"/>
  <rect id="interpolate-f05-pt.svgrect2483" transform="rotate(135.48)" height="2.9821" width="2.9821" y="-192.64" x="-181.96" fill="#0f0"/>
  <rect id="interpolate-f05-pt.svgrect2485" transform="rotate(135.48)" height="2.9821" width="2.9821" y="-200.55" x="-150.15" fill="#ccc"/>
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  <flowRegion>
   <use y="0" x="0" xlink:href="#d0e146"/>
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  <flowDiv xml:space="preserve">O exemplo anterior (mostrado de novo em baixo) foi feito com estes nós como pontos iniciais.</flowDiv>
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  <path id="interpolate-f04-pt.svgpath2546" stroke-linejoin="round" d="m20.29 2.4488c10.119 0 18.265 8.1462 18.265 18.265 0 3.067-0.748 5.952-2.072 8.485-3.046 5.824-9.141 9.781-16.193 9.781-6.245 0-11.738-3.102-15.029-7.856-2.0425-2.95-3.2369-6.535-3.2369-10.41 0-10.119 8.1459-18.265 18.266-18.265v-0.0002" stroke="#2e75ac" stroke-width="4.0482" fill="#0cf"/>
  <flowRoot id="interpolate-f04-pt.svgflowRoot2609" xml:space="preserve" transform="translate(-291.31 26.535)" font-size="6px" font-family="sans-serif" fill="#000000"><flowRegion id="interpolate-f04-pt.svgflowRegion2611"><rect id="interpolate-f04-pt.svgrect2613" height="133.57" width="127.14" y="15.934" x="290.71"/></flowRegion><flowPara id="interpolate-f04-pt.svgflowPara2615">Expoente: 0.0</flowPara><flowPara id="interpolate-f04-pt.svgflowPara2617">Passos de Interpolação: 6</flowPara><flowPara id="interpolate-f04-pt.svgflowPara2619">Método de Interpolação: 2</flowPara><flowPara id="interpolate-f04-pt.svgflowPara2621">Duplicar caminhos finais: desativado</flowPara><flowPara id="interpolate-f04-pt.svgflowPara2623">Estilo de interpolação: desativado</flowPara></flowRoot>
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  <flowRegion>
   <use y="0" x="0" xlink:href="#d0e159"/>
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  <flowDiv xml:space="preserve">Agora note a mudança no resultado da interpolação quando o caminho triangular é espelhado para que o nó inicial esteja numa posição diferente:</flowDiv>
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  <tspan y="1336.6559060000002" x="10">Método de Interpolação</tspan>
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  <flowDiv xml:space="preserve">Um dos parâmetros da extensão de Interpolação é o Método de Interpolação. Existem 2 métodos de interpolação implementados, que diferem no modo em que calculam as curvas de novas formas geométricas. As opções disponíveis são o Método de Interpolação 1 ou 2.</flowDiv>
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  <flowDiv xml:space="preserve">Nos exemplos acima, foi usado o Método de Interpolação 2 o que resulta em:</flowDiv>
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  <flowDiv xml:space="preserve">E com o Método de Interpolação 1 resulta em:</flowDiv>
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  <flowDiv xml:space="preserve">As diferenças entre estes dois métodos encontra-se no cálculo os números e está para além do âmbito deste tutorial, por isso experimente ambos e use aquele que fornecer o resultado mais próximo que pretende.</flowDiv>
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  <tspan y="1630.0826630000001" x="10">Expoente</tspan>
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  <flowDiv xml:space="preserve">O parâmetro <flowSpan font-style="italic">expoente</flowSpan> controla o espaçamento entre os passos da interpolação. Um expoente de 0 faz com que o espaçamento entre as cópias seja igual.</flowDiv>
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  <flowDiv xml:space="preserve">Aqui está o resultado de outro exemplo básico com expoente de 0.</flowDiv>
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  <flowDiv xml:space="preserve">Quando lidar com expoentes na extensão de Interpolação, a <flowSpan font-style="italic">ordem</flowSpan> de seleção dos objetos é importante. No exemplo acima, o caminho em forma de estrela da esquerda foi selecionado primeiro e o caminho de forma hexagonal na direita foi selecionado depois.</flowDiv>
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  <flowDiv xml:space="preserve">Veja o resultado quando o caminho da direita foi selecionado primeiro. O expoente deste exemplo é 1:</flowDiv>
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  <tspan y="2127.7455865" x="10">Duplicar Caminhos Finais</tspan>
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  <flowDiv xml:space="preserve">Este parâmetro define se o grupo de caminhos gerados pela extensão <flowSpan font-style="italic">inclui uma cópia</flowSpan> dos caminhos originais nos quais a interpolação foi aplicada.</flowDiv>
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  <tspan y="2185.0880875000003" x="10">Estilo de Interpolação</tspan>
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  <flowDiv xml:space="preserve">Este parâmetro é uma das funções mais elegantes da extensão de interpolação. Este indica à extensão para tentar mudar o estilo dos caminhos a cada passo. Desta forma, se os caminhos do começo e do fim tiverem cores diferentes, os caminhos gerados também mudarão de cor de forma incremental.</flowDiv>
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  <flowDiv xml:space="preserve">Aqui está um exemplo onde a função de Estilo de interpolação é usada no preenchimento de um caminho:</flowDiv>
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  <flowDiv xml:space="preserve">O Estilo de Interpolação também afeta o traço de um caminho:</flowDiv>
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  <tspan y="2552.4456445" x="10">Usando a Interpolação para simular gradientes de forma irregular</tspan>
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  <flowDiv xml:space="preserve">Ainda não é possível criar no Inkscape um gradiente diferente que não seja o linear (linha reta) ou radial (redondo). No entanto, isto pode ser simulado usando a extensão de Interpolar e o Estilo de Interpolação. Segue-se um exemplo simples — desenhe 2 linhas de diferentes espessuras:</flowDiv>
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  <flowDiv xml:space="preserve">E faça a interpolação entre as 2 linhas para criar o gradiente:</flowDiv>
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  <tspan y="2922.382873" x="10">Conclusão</tspan>
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  <flowDiv xml:space="preserve">Como demonstrado acima, a extensão Interpolar do Inkscape é uma ferramenta poderosa. Este tutorial cobre o básico desta extensão, entretanto o experimentar é a chave para explorar a interpolação ainda mais.</flowDiv>
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