cameramotion.fodt

<?xml version="1.0" encoding="UTF-8"?>

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   <config:config-item config:name="PrintProspect" config:type="boolean">false</config:config-item>
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   <config:config-item config:name="PrintProspectRTL" config:type="boolean">false</config:config-item>
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   <config:config-item config:name="PrintFaxName" config:type="string"/>
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 </office:settings>
 <office:scripts>
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   <text:p text:style-name="Standard">Using OpenGL camera. X is right. Y is up. Z is backward.</text:p>
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   <text:p text:style-name="Standard">Three distinct points can define a configuration: origin, z-point, xz-point</text:p>
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   <text:p text:style-name="Standard">xz-point any point in xz plane of camera. We choose (1,0,0) in camera frame.</text:p>
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   <text:p text:style-name="Standard"/>
   <text:p text:style-name="Standard">We can interpolate the movement of each point.</text:p>
   <text:p text:style-name="Standard">Start and end Origin points are known from keyframes.</text:p>
   <text:p text:style-name="Standard">Start and end xz-points are known from keyframes.</text:p>
   <text:p text:style-name="Standard">How to define z-point without asking user?</text:p>
   <text:p text:style-name="Standard">Define z-points to be closest points between z-axes of start and end keyframes.</text:p>
   <text:p text:style-name="Standard">Point on z-axis is</text:p>
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   <text:p text:style-name="Standard">To solve for<draw:frame draw:style-name="fr1" draw:name="Object4" text:anchor-type="as-char" svg:width="0.2075in" svg:height="0.2102in" draw:z-index="3"><draw:object>
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     <svg:desc>formula</svg:desc>
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     <svg:desc>formula</svg:desc>
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- {bold nitalic r}_ Oz1(s_1) right)
cdot 
{bold nitalic k}_Oc1 
= 0

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   <text:p text:style-name="Standard">Now we have start and end z-points too.</text:p>
   <text:p text:style-name="Standard">When start and end z-axes are parallel, choose (0,0,-1) in camera frame as z-point.</text:p>
   <text:p text:style-name="Standard"/>
   <text:p text:style-name="Standard"/>
  </office:text>
 </office:body>
</office:document>