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      <title>Overcrown by Function</title>
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      <div class="title_topic3" id="xps10_pagetitle">Overcrown by Function</div>
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      <p class="para_topic">The Overcrown By Function sub dialog lets you define a function to control the modification of your sheet body. Overcrown By Function is similar to Law Curve, except the functional relationship extends across a two-dimensional parameter space, rather than a single dimension.</p>
      <p class="para_topic">Modifications may be imposed on the sheet body within a user-defined region on the surface. The region boundary must be defined by a closed curve (or string of curves) that is C2 continuous. This curve is created outside of this function. The computations for overcrown are simplified, and hence faster to execute, if the region boundary that you specify is an ellipse or a rectangle. The modification to the sheet is defined by a transition function (think of a bell curve) within the region. The user specifies a height value, an offset direction, and a point within the region that becomes the highest point of the transition function.</p>
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            <th bgcolor="#c0c0c0" colspan="2" rowspan="1" valign="top"><a name="options_die_edit_face_ocrown_byfnc_dialog"></a><p class="para_th">Overcrown by Function Dialog Options</p>
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               <p class="para_td">Selection Steps</p>
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               <p class="para_td">Region Boundary - Lets you specify a closed curve to restrict the modification region, for the By Function method. Face portions projecting inside the specified boundary will be modified and those that fall outside remain unmodified.</p>
               <p class="para_td">Point in Region - Lets you specify a point inside the Region Boundary. At this point the sheet modification is the specified Height in the specified Direction.</p>
               <p class="para_td">Direction - Lets you specify the modification direction.</p>
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               <p class="para_td">Filter</p>
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               <p class="para_td">Aids in object selection for the Region Boundary selection step. Possible settings are:Any, Curve, Edge, Face, Sketch, String.</p>
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               <p class="para_td">Changeable Window</p>
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               <p class="para_td">The contents of this area depend on the selection step.</p>
               <p class="para_td">For the Point in Region step the standard Point Method option menu is displayed.</p>
               <p class="para_td">For the Direction step the standard Vector Method option menu is displayed.</p>
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               <p class="para_td">Height</p>
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               <p class="para_td">Lets you specify the height at the Point in Region in the Direction specified. You may also use the slider bar to change the height value dynamically.</p>
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               <p class="para_td">Transition Options</p>
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               <p class="para_td">Lets you specify the transition function. If specified by an equation the value at t=0 (at the Point in Region) must be one and the value at t=1 (on the Region Boundary) must be zero. Outside the region boundary the value is zero.</p>
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               <p class="para_td">Shape Control</p>
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               <p class="para_td">The Shape Control slider lets you dynamically change the slope of the law transition functions at the region boundary. The range of the slider is from 0.0 through 1.0. The Shape by Function produces an S-shape, with its highest value of one and zero slope at the center, and decays to zero at the region boundary. The Shape Control slider basically lets you control the speed of decay.</p>
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               <p class="para_td">Facet Display</p>
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               <p class="para_td">Turn this toggle switch on to show facets for the temporary display of the new sheet.</p>
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      </table><br><div class="title_division">Basic Procedure</div>
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            <p class="para_item">Use the Region Bounds selection step to select a closed curve or string for the region boundary. If you have selected a planar closed boundary, a dynamic representation of the new sheet body is displayed based on defaults for the Point in Region and Direction selection steps. If desired, you can turn on the Facet Display toggle switch to show facets on the projected, new sheet body.</p>
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            <p class="para_item">If the Region Bounds is not planar then you need to select the Point in Region using the Point Method option menu. For an ellipse or a rectangle the default is the center. For other closed curves the default it is the center of the bounding box of the curve. You are now ready to deform the new sheet body. Updating the point in region from the default immediately updates the projected representation of the new sheet body.</p>
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            <p class="para_item">For non-planar Region Bounds, you need to select the Direction the deformation using the Vector Method option menu. For planar curves, the default Direction is the plane normal of the curve. Updating the direction from the default immediately updates the projected representation of the modified sheet body.</p>
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            <p class="para_item">Optionally modify the height of the new sheet body at the Point in Region by entering a new value in the Height data entry field, or by dragging the Height slider. When using either the data entry field or by dragging the slider, the height of the new sheet body is dynamically updated. If you want to deform the sheet opposite to the selected Direction, enter a negative value for height.</p>
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            <p class="para_item">Optionally change the desired Transition function from the Function 1 default. You can choose one of the two provided transition functions, Function 1 or Function 2, or you can define your own transition function using the Law Subfunction.</p>
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            <p class="para_item">Optionally drag the Shape Control slider to dynamically change the slope of the new sheet body.</p>
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            <p class="para_item">Choose OK to apply the springback compensation to the sheet, and return to the  <a class="links" href="javascript:void(0)" onclick="top.openFile('dieengr/die_edit_face.html');return(false);">Die Output</a> dialog.
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