diff options
Diffstat (limited to 'src/3rdparty/2geom/doc/boolops.svg')
| -rw-r--r-- | src/3rdparty/2geom/doc/boolops.svg | 1622 |
1 files changed, 1622 insertions, 0 deletions
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+ height="1052.3622" + transform="translate(235.46656,-386.78742)" /></flowRegion><flowPara + id="flowPara2457">One problem with storing crossings as a time value is that the locations on the two paths may not perfectly coincide. To maintain continuity, the output portions must be tweaked.</flowPara></flowRoot> <path + id="path2477" + d="M 73.436386,1034.4627 L 663.36887,1034.4627" + style="fill:none;fill-rule:evenodd;stroke:#000000;stroke-width:1px;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1" /> + <rect + y="415.47995" + x="272.02945" + height="91.384789" + width="440" + id="rect2501" + style="opacity:1;fill:none;fill-opacity:1;fill-rule:evenodd;stroke:#000000;stroke-width:0.99999994;stroke-miterlimit:4;stroke-dasharray:1.00000004, 48.00000264;stroke-dashoffset:0;stroke-opacity:1" /> + <flowRoot + xml:space="preserve" + style="font-size:14px;font-style:normal;font-weight:normal;writing-mode:lr-tb;fill:#000000;fill-opacity:1;stroke:none;stroke-width:1px;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1;font-family:Sans" + id="flowRoot2503" + transform="translate(0,-48.870058)"><flowRegion + id="flowRegion2505"><use + x="0" + y="0" + xlink:href="#rect2501" + id="use2507" + width="744.09448" + height="1052.3622" + transform="translate(0,48.083262)" /></flowRegion><flowPara + id="flowPara2511">The Crossing data type is also valid on Paths, where a particular time value corresponds to the point on curve i at f, where i is the integral part, and f is the fractional part. The crossings function for paths is the basis of the important path_boolean function.</flowPara></flowRoot> <text + xml:space="preserve" + style="font-size:24px;font-style:normal;font-weight:bold;writing-mode:lr-tb;fill:#000000;fill-opacity:1;stroke:none;stroke-width:1px;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1;font-family:Serif" + x="15.625" + y="1081.7888" + id="text2513"><tspan + sodipodi:role="line" + id="tspan2515" + x="15.625" + y="1081.7888">Layer 3: Shape</tspan></text> + <path + style="fill:none;fill-rule:evenodd;stroke:#000000;stroke-width:0.99999988px;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1" + d="M 15.60073,1084.9138 L 728.14921,1084.9138" + id="path2517" /> + <rect + style="opacity:1;fill:none;fill-opacity:1;fill-rule:evenodd;stroke:#000000;stroke-width:0.99999994;stroke-miterlimit:4;stroke-dasharray:1.00000004, 48.00000245;stroke-dashoffset:0;stroke-opacity:1" + id="rect2596" + width="690.3158" + height="72.698502" + x="21.713648" + y="520.41602" /> + <rect + y="347.43579" + x="27.34375" + height="57.396477" + width="700" + id="rect2602" + style="opacity:1;fill:none;fill-opacity:1;fill-rule:evenodd;stroke:#000000;stroke-width:0.99999994;stroke-miterlimit:4;stroke-dasharray:1.00000001, 48.00000051;stroke-dashoffset:0;stroke-opacity:1" /> + <flowRoot + xml:space="preserve" + style="font-size:14;font-style:normal;font-weight:normal;writing-mode:lr-tb;fill:#000000;fill-opacity:1;stroke:none;stroke-width:1px;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1;font-family:Sans" + id="flowRoot2630"><flowRegion + id="flowRegion2632"><use + x="0" + y="0" + xlink:href="#rect2596" + id="use2634" + width="744.09448" + height="1052.3622" /></flowRegion><flowPara + id="flowPara2636"><flowSpan + style="font-style:normal;font-weight:bold;font-size:14" + id="flowSpan2640">Region</flowSpan>: A simple path (a path with no self-intersection), specifying a subset of the plane. Such a path also has a defined winding direction which specifies what the boundary means - a region of 'fill' will have a counter-clockwise wind, whereas a region of 'non-fill' will have a clockwise wind. Reversing the direction of the region's path will give the boolean complement of the region.</flowPara></flowRoot> <path + sodipodi:type="arc" + style="opacity:1;fill:#6e5e5e;fill-opacity:1;fill-rule:evenodd;stroke:none;stroke-width:1.45454550000000005;stroke-miterlimit:4;stroke-dasharray:none;stroke-dashoffset:0;stroke-opacity:1" + id="path6202" + sodipodi:cx="91.923882" + sodipodi:cy="633.75494" + sodipodi:rx="22.627417" + sodipodi:ry="22.627417" + d="M 114.5513,633.75494 A 22.627417,22.627417 0 1 1 69.296465,633.75494 A 22.627417,22.627417 0 1 1 114.5513,633.75494 z" + transform="matrix(2.0625,0,0,2.0625,-91.428942,-630.93823)" /> + <path + sodipodi:type="arc" + style="opacity:1;fill:none;fill-opacity:1;fill-rule:evenodd;stroke:#ff0000;stroke-width:1.4545455;marker-start:url(#Arrow1Mstart);marker-mid:url(#Arrow1Mstart);marker-end:url(#Arrow1Mstart);stroke-miterlimit:4;stroke-dasharray:none;stroke-dashoffset:0;stroke-opacity:1" + id="path2656" + sodipodi:cx="91.923882" + sodipodi:cy="633.75494" + sodipodi:rx="22.627417" + sodipodi:ry="22.627417" + d="M 114.5513,633.75494 A 22.627417,22.627417 0 1 1 69.296465,633.75494 A 22.627417,22.627417 0 1 1 114.5513,633.75494 z" + transform="matrix(2.0625,0,0,2.0625,-92.843157,-629.52402)" /> + <rect + style="opacity:1;fill:none;fill-opacity:1;fill-rule:evenodd;stroke:#000000;stroke-width:2;stroke-miterlimit:4;stroke-dasharray:none;stroke-dashoffset:0;stroke-opacity:1" + id="rect9127" + width="145.66399" + height="151.32086" + x="22.627422" + y="605.4707" /> + <path + transform="matrix(2.0625,0,0,2.0625,65.548763,-629.52403)" + d="M 114.5513,633.75494 A 22.627417,22.627417 0 1 1 69.296465,633.75494 A 22.627417,22.627417 0 1 1 114.5513,633.75494 z" + sodipodi:ry="22.627417" + sodipodi:rx="22.627417" + sodipodi:cy="633.75494" + sodipodi:cx="91.923882" + id="path9129" + style="opacity:1;fill:none;fill-opacity:1;fill-rule:evenodd;stroke:#ff0000;stroke-width:1.4545455;marker-start:url(#Arrow1Mend);marker-mid:url(#Arrow1Mend);marker-end:url(#Arrow1Mend);stroke-miterlimit:4;stroke-dasharray:none;stroke-dashoffset:0;stroke-opacity:1" + sodipodi:type="arc" /> + <text + xml:space="preserve" + style="font-size:12px;font-style:normal;font-weight:normal;writing-mode:lr-tb;fill:#000000;fill-opacity:1;stroke:none;stroke-width:1px;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1;font-family:Sans" + x="77.781746" + y="769.51947" + id="text11070"><tspan + sodipodi:role="line" + id="tspan11072" + x="77.781746" + y="769.51947">(Outer box represents the plane)</tspan></text> + <rect + y="606.68304" + x="344.15433" + height="143.40918" + width="367.87509" + id="rect11074" + style="opacity:1;fill:none;fill-opacity:1;fill-rule:evenodd;stroke:#000000;stroke-width:0.99999988;stroke-miterlimit:4;stroke-dasharray:1, 48.00000017;stroke-dashoffset:0;stroke-opacity:1" /> + <flowRoot + xml:space="preserve" + style="font-size:14px;font-style:normal;font-weight:normal;writing-mode:lr-tb;fill:#000000;fill-opacity:1;stroke:none;stroke-width:1px;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1;font-family:Sans" + id="flowRoot11080"><flowRegion + id="flowRegion11082"><use + x="0" + y="0" + xlink:href="#rect11074" + id="use11084" + width="744.09448" + height="1052.3622" /></flowRegion><flowPara + id="flowPara11086">This behavior is mainly important for the main region boolean function, which takes two regions and performs an operation. The operation which is performed is specified by a bool which indicates either union (false) or intersection (true).</flowPara><flowPara + id="flowPara11777" /><flowPara + id="flowPara11779">This operation may be considered from the standpoint of regular path booleans:</flowPara></flowRoot> <text + xml:space="preserve" + style="font-size:16.31223488px;font-style:normal;font-weight:bold;writing-mode:lr-tb;fill:#000000;fill-opacity:1;stroke:none;stroke-width:1px;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1;font-family:Sans" + x="390.38602" + y="771.6131" + id="text11088" + transform="scale(0.9982283,1.0017748)"><tspan + sodipodi:role="line" + id="tspan11090" + x="390.38602" + y="771.6131">Union</tspan></text> + <text + id="text11092" + y="786.07953" + x="455.04291" + 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