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Section 5.7.1.5
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5 files changed

+79
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‎doc/PTZ.xml‎

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</inlinemediaobject> is the current focal length.</para>
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<para>The current angle of view can be calculated with the following formula:</para>
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<para>
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<inlineequation>
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<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML">
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<mml:mo>∝</mml:mo>
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<mml:mi>
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</mml:mi>
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<mml:mo>=</mml:mo>
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<mml:mi>
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</mml:mi>
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<mml:mn>2</mml:mn>
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<mml:mi>
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</mml:mi>
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<mml:mi mathvariant="normal">a</mml:mi>
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<mml:mi mathvariant="normal">r</mml:mi>
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<mml:mi mathvariant="normal">c</mml:mi>
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<mml:mi mathvariant="normal">t</mml:mi>
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<mml:mi mathvariant="normal">a</mml:mi>
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<mml:mi mathvariant="normal">n</mml:mi>
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<mml:mfrac>
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<mml:mrow>
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<mml:mi>d</mml:mi>
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</mml:mrow>
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<mml:mrow>
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<mml:mn>2</mml:mn>
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<mml:mi>f</mml:mi>
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<mml:mi>c</mml:mi>
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</mml:mrow>
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</mml:mfrac>
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<mml:mi>
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</mml:mi>
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<mml:mi>
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</mml:mi>
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<mml:mo>,</mml:mo>
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</mml:math>
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</inlineequation>
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<inlinemediaobject>
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<imageobject>
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<imagedata fileref="equations/PTZ/view_angle_calculation.svg" contentdepth="12mm"/>
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</imageobject>
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</inlinemediaobject>
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</para>
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<para>where <inlineequation><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mi>d</mml:mi></mml:math></inlineequation> represents the size of the sensor in the direction of interest and <inlineequation><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mi>f</mml:mi><mml:mi>c</mml:mi></mml:math></inlineequation> is the current focal length.</para>
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<para>where <inlinemediaobject>
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<imageobject>
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<imagedata fileref="equations/PTZ/d.svg" contentdepth="5mm"/>
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</imageobject>
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</inlinemediaobject> represents the size of the sensor in the direction of interest and <inlinemediaobject>
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<imageobject>
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<imagedata fileref="equations/PTZ/f_c.svg" contentdepth="5mm"/>
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</imageobject>
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</inlinemediaobject> is the current focal length.</para>
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</section>
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<section xml:id="_Ref469302658">
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<title>Normalized digital zoom position space</title>

‎doc/equations/PTZ/S_w.xml‎

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<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML">
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<mml:msub>
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<mml:mi>S</mml:mi>
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<mml:mi>w</mml:mi>
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</mml:msub>
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</mml:math>

‎doc/equations/PTZ/W_w.xml‎

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<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML">
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<mml:msub>
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<mml:mi>W</mml:mi>
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<mml:mi>w</mml:mi>
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</mml:msub>
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</mml:math>

‎doc/equations/PTZ/normalized_digital_zoom_factor.xml‎

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<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML">
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<mml:mi>Z</mml:mi>
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<mml:mo>=</mml:mo>
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<mml:mfrac>
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<mml:mrow>
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<mml:mn>1</mml:mn>
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</mml:mrow>
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<mml:mrow>
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<mml:mfrac>
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<mml:mrow>
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<mml:msub>
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<mml:mi>W</mml:mi>
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<mml:mi>w</mml:mi>
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</mml:msub>
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</mml:mrow>
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<mml:mrow>
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<mml:msub>
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<mml:mi>S</mml:mi>
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<mml:mi>w</mml:mi>
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</mml:msub>
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</mml:mrow>
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</mml:mfrac>
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</mml:mrow>
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</mml:mfrac>
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<mml:mo>=</mml:mo>
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<mml:mfrac>
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<mml:mrow>
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<mml:msub>
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<mml:mi>S</mml:mi>
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<mml:mi>w</mml:mi>
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</mml:msub>
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</mml:mrow>
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<mml:mrow>
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<mml:msub>
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<mml:mi>W</mml:mi>
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<mml:mi>w</mml:mi>
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</mml:msub>
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</mml:mrow>
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</mml:mfrac>
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</mml:math>

‎doc/equations/PTZ/view_angle_calculation.xml‎

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<mo>&#x22C5;</mo>
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<mml:mi mathvariant="normal">arctan</mml:mi>
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<mml:mo>(</mml:mo>
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<mml:mfrac>
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<mml:mrow>
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<mml:mi>d</mml:mi>
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</mml:mrow>
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<mml:mrow>
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<mml:mn>2</mml:mn>
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<mo>&#x22C5;</mo>
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<mml:msub>
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<mml:mi>f</mml:mi>
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<mml:mi>c</mml:mi>
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</mml:msub>
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</mml:mrow>
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</mml:mfrac>
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<mml:mfrac>
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<mml:mrow>
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<mml:mi>d</mml:mi>
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</mml:mrow>
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<mml:mrow>
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<mml:mn>2</mml:mn>
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<mo>&#x22C5;</mo>
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<mml:msub>
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<mml:mi>f</mml:mi>
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<mml:mi>c</mml:mi>
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</mml:msub>
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</mml:mrow>
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</mml:mfrac>
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<mml:mo>)</mml:mo>
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<mml:mo>,</mml:mo>
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</mml:math>

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