{"templateId":"markdown","sharedDataIds":{"sidebar":"sidebar-guides/sidebars.yaml"},"props":{"metadata":{"markdoc":{"tagList":["tabs","tab"]},"type":"markdown"},"seo":{"title":"Transforms","description":"Accelerate E&P application development and protect your innovation by consuming our Data and Domain APIs / Platform APIs.","lang":"en-US","meta":[{"name":"robots","content":"noindex"}],"llmstxt":{"hide":true,"excludeFiles":[]}},"dynamicMarkdocComponents":[],"compilationErrors":[],"ast":{"$$mdtype":"Tag","name":"article","attributes":{},"children":[{"$$mdtype":"Tag","name":"Heading","attributes":{"level":1,"id":"transforms","__idx":0},"children":["Transforms"]},{"$$mdtype":"Tag","name":"p","attributes":{},"children":["This tutorial shows the transformations used in the CarnacJS scene graph to display shapes in the browser window. GeoToolkit uses ",{"$$mdtype":"Tag","name":"MarkdownLink","attributes":{"href":"https://en.wikipedia.org/wiki/Affine_transformation#Affine_transformation_in_plane_geometry"},"children":["affine transformations"]},", which can represented by 3x3 matrices."]},{"$$mdtype":"Tag","name":"img","attributes":{"src":"/assets/3x3matrix.d54c519edb16e12f2f77def5d2c5f95612ec23d0cd0c3e5cce33da89ca7a8235.9fe74e7d.png"},"children":[]},{"$$mdtype":"Tag","name":"p","attributes":{},"children":["This is the system of homogeneous coordinates commonly used in computer graphics. The transformation of a vector (x,y) is represented as a matrix product."]},{"$$mdtype":"Tag","name":"img","attributes":{"src":"/assets/transformation_vector.c011c6027f3717059195c169d89900e60527801b3d9b9f75b2b479bf3db1e1c1.9fe74e7d.png"},"children":[]},{"$$mdtype":"Tag","name":"p","attributes":{},"children":["A good reference for such transformations is Foley and van Dam:"]},{"$$mdtype":"Tag","name":"p","attributes":{},"children":["J.D. Foley, A. van Dam, S.K. Feiner, J.F. Hughes. “Computer Graphics. Principles and Practice,” Addison-Wesley Publishing Company, Appendix: Mathematics for Computer Graphics: 1083-1112, 1990"]},{"$$mdtype":"Tag","name":"p","attributes":{},"children":["In CarnacJS, the class ",{"$$mdtype":"Tag","name":"code","attributes":{},"children":["geotoolkit/util/Transformation"]}," is used to implement such affine transformations."]},{"$$mdtype":"Tag","name":"Heading","attributes":{"level":3,"id":"scenegraph-without-any-transform","__idx":1},"children":[{"$$mdtype":"Tag","name":"MarkdownLink","attributes":{"href":"#/Carnac/Groups/Transforms/transforms#withoutTransform"},"children":["#"]}," Scenegraph Without Any Transform"]},{"$$mdtype":"Tag","name":"p","attributes":{},"children":["The examples in this page will use the below scene graph to demonstrate various transformations."]},{"$$mdtype":"Tag","name":"img","attributes":{"src":"/assets/transformations_scenegraph.8fa92e0e1e618d505704fac8b773d732c78677baef0e9f77e63f561190004c1d.9fe74e7d.png"},"children":[]},{"$$mdtype":"Tag","name":"p","attributes":{},"children":["The next canvas shows this scene graph displayed without using any transformations."]},{"$$mdtype":"Tag","name":"Tabs","attributes":{"size":"medium"},"children":[{"$$mdtype":"Tag","name":"div","attributes":{"label":"main","disable":false},"children":[{"$$mdtype":"Tag","name":"CodeBlock","attributes":{"data-language":"ts","header":{"controls":{"copy":{}}},"source":"import { Polygon } from \"@int/geotoolkit/scene/shapes/Polygon.ts\";\nimport { Rectangle } from \"@int/geotoolkit/scene/shapes/Rectangle.ts\";\nimport { Plot } from \"@int/geotoolkit/plot/Plot.ts\";\nimport { Group } from \"@int/geotoolkit/scene/Group.ts\";\nimport { KnownColors } from \"@int/geotoolkit/util/ColorUtil.ts\";\nfunction createScene(canvas) {\n  const triangle = new Polygon({\n    \"x\": [50, 50, 100],\n    \"y\": [50, 200, 200],\n    \"linestyle\": {\n      \"color\": KnownColors.Blue,\n      \"width\": 3\n    },\n    \"fillstyle\": KnownColors.LightBlue\n  });\n  const rectangle1 = new Rectangle({\n    \"left\": 25,\n    \"top\": 25,\n    \"right\": 225,\n    \"bottom\": 225,\n    \"linestyle\": KnownColors.Orange\n  });\n  const group1 = new Group().addChild([triangle, rectangle1]);\n  const rectangle2 = new Rectangle({\n    \"left\": 0,\n    \"top\": 0,\n    \"right\": 300,\n    \"bottom\": 300,\n    \"linestyle\": {\n      \"color\": KnownColors.LightGray,\n      \"width\": 10\n    }\n  });\n  return new Plot({\n    \"canvaselement\": canvas,\n    \"root\": new Group().addChild([rectangle2, group1])\n  });\n}\nexport { createScene };\n\ncreateScene(document.querySelector('[ref=\"plot\"]'));\n\n","lang":"ts"},"children":[]}]},{"$$mdtype":"Tag","name":"div","attributes":{"label":"css","disable":false},"children":[{"$$mdtype":"Tag","name":"CodeBlock","attributes":{"data-language":"css","header":{"controls":{"copy":{}}},"source":"\n.cg-tooltip-holder {\n  position: relative;\n}\n\n.cg-tooltip {\n  position: absolute;\n  display: block;\n  padding: 2px 12px 3px 7px;\n  overflow: visible !important;\n  font-family: Roboto, Helvetica, Arial, sans-serif;\n  font-size: 13px;\n  background: white !important;\n  opacity: 0.9;\n  color: #333333;\n  border: solid 1px gray;\n  border-radius: 5px;\n  text-align: left;\n  box-shadow: 0 4px 8px 0 rgba(0, 0, 0, 0.2), 0 6px 20px 0 rgba(0, 0, 0, 0.19);\n  border-radius: 5px;\n  margin: 0 !important;\n  z-index: 10000;\n  max-width: 400px;\n  text-wrap: normal !important;\n  white-space: normal !important;\n}\n/* Default setting for tooltip */\n.cg-tooltip-container {\n  position: absolute;\n  display: block;\n  overflow: visible !important;\n  font-family: Roboto, Helvetica, Arial, sans-serif;\n  font-size: 12px;\n  padding: 3px 7px;\n  background: #f7f7f7;\n  color: #333333;\n  border: 1px solid #938e8e;\n  opacity: 0.8;\n  text-align: left;\n  box-shadow: 3px 3px 10px #888;\n  margin: 0 !important;\n  z-index: 10000;\n  max-width: 400px;\n  text-wrap: normal !important;\n  white-space: normal !important;\n  user-select: none;\n}\n@media screen and (-ms-high-contrast: active), (-ms-high-contrast: none) {\n  .cg-tooltip-container {\n    border-radius: 0;\n  }\n}\n/* Default left arrow for tooltip */\n.cg-tooltip-arrow-left::before {\n  content: '';\n  position: absolute;\n  display: block;\n  width: 0px;\n  left: 0;\n  top: 50%;\n  border: 5px solid transparent;\n  border-left: 0;\n  border-right: 5px solid  #938e8e;\n  transform: translate(calc(-100%), -50%);\n}\n.cg-tooltip-arrow-left::after {\n  content: '';\n  position: absolute;\n  display: block;\n  width: 0px;\n  left: 0;\n  top: 50%;\n  border: 4px solid transparent;\n  border-left: 0;\n  border-right: 4px solid #f7f7f7;\n  transform: translate(calc(-100%), -50%);\n}\n/* Default top arrow for tooltip */\n.cg-tooltip-arrow-top::before {\n  content: '';\n  position: absolute;\n  display: block;\n  width: 0px;\n  left: 50%;\n  top: 0;\n  border: 5px solid transparent;\n  border-top: 0;\n  border-bottom: 5px solid #938e8e;\n  transform: translate(-50%, -100%);\n}\n.cg-tooltip-arrow-top::after {\n  content: '';\n  position: absolute;\n  display: block;\n  width: 0px;\n  left: 50%;\n  top: 0;\n  border: 4px solid transparent;\n  border-top: 0;\n  border-bottom: 4px solid #f7f7f7;\n  transform: translate(-50%, -100%);\n}\n/* Default right arrow for tooltip */\n.cg-tooltip-arrow-right::before {\n  content: '';\n  position: absolute;\n  display: block;\n  width: 0px;\n  right: 0;\n  top: 50%;\n  border: 5px solid transparent;\n  border-right: 0;\n  border-left: 5px solid #938e8e;\n  transform: translate(100%, -50%);\n}\n.cg-tooltip-arrow-right::after {\n  content: '';\n  position: absolute;\n  display: block;\n  width: 0px;\n  right: 0;\n  top: 50%;\n  border: 4px solid transparent;\n  border-right: 0;\n  border-left: 4px solid #f7f7f7;\n  transform: translate(100%, -50%);\n}\n/* Default bottom arrow for tooltip */\n.cg-tooltip-arrow-bottom::before {\n  content: '';\n  position: absolute;\n  display: block;\n  width: 0px;\n  left: 50%;\n  bottom: 0px;\n  border: 5px solid transparent;\n  border-bottom: 0;\n  border-top: 5px solid #938e8e;\n  transform: translate(-50%, 100%);\n  z-index: 10000;\n}\n.cg-tooltip-arrow-bottom::after {\n  content: '';\n  position: absolute;\n  display: block;\n  width: 0px;\n  left: 50%;\n  bottom: 0;\n  border: 4px solid transparent;\n  border-bottom: 0;\n  border-top: 4px solid #f7f7f7;\n  transform: translate(-50%, 100%);\n  z-index: 10000;\n}\n/* Tooltip item name */\n/* Tooltip item value */\n/* .cg-tooltip-item-value */\n/* Tooltip item value */\n.cg-tooltip-item-unit {\n  text-transform: none;\n}\n\n.cg-tooltip-item-name {\n    text-transform: capitalize;\n    white-space: nowrap;\n    vertical-align: middle;\n    font-size: 13px;\n}\n.cg-tooltip-row {\n  display: flex;\n  flex-direction: row;\n  align-items: center;\n  white-space: pre-wrap;\n  font-size: 12px;\n  line-height: 100%;\n  margin: 1px 0;\n}\n.cg-tooltip-title {\n  font-size: 13px;\n  height: 14px;\n  text-transform: capitalize;\n}\n.cg-tooltip-title .cg-tooltip-symbol {\n  margin-right: 0 !important;\n}\n.cg-tooltip-title-name {\n  vertical-align: middle;\n}\n.cg-tooltip-row + .cg-tooltip-row {\n  margin-top: 4px;\n}\n.cg-tooltip-row.cg-tooltip-title + .cg-tooltip-row {\n  margin-top: 5px;\n}\n.cg-tooltip-item-value + .cg-tooltip-item-unit {\n    margin-left: 1px;\n}\n/* Tooltip symbol */\n.cg-tooltip-symbol-cell {\n  display: inline-flex;\n  min-width: 13px; /* 10px size + 3px margin */\n}\n.cg-tooltip-symbol {\n  margin-right: 3px;\n  background-color: transparent;\n  display: block;\n}\n.cg-tooltip-symbol > img {\n  display: block;\n}\n.cg-tooltip-list-cell {\n  display: inline-flex;\n}\n.cg-tooltip-list-symbol {\n  display: block;\n  margin-right: 3px;\n  width: 6px;\n  height: 6px;\n  vertical-align: middle;\n  border-radius: 50%;\n  border: 1px solid rgba(0,0,0,.4);\n}\n.cg-tooltip-symbol-legacy {\n  border-radius: 4px;\n  margin-right: 5px;\n  height: 8px;\n  width: 8px;\n  display: inline-block;\n}\n.cg-tooltip-title-legacy {\n  font-weight: 900;\n}\n\n/* Tooltip symbol circle */\n.cg-tooltip-symbol.circle {\n  height: 10px;\n  width: 10px;\n  display: inline-block;\n  border-radius: 50%;\n  border: 1px solid rgba(0,0,0,.4);\n}\n/* Tooltip symbol line */\n.cg-tooltip-symbol.line {\n    height: 10px;\n    width: 10px;\n    display: inline-block;\n    transform: scale(1.2, 0.2);\n}\n/* Tooltip symbol diamond */\n.cg-tooltip-symbol.diamond {\n    height: 10px;\n    width: 10px;\n    display: inline-block;\n    transform: rotate(45deg);\n    border-radius: 0px;\n}\n/* Tooltip symbol square */\n.cg-tooltip-symbol.square {\n    height: 10px;\n    width: 10px;\n    display: inline-block;\n    border-radius: 0px;\n    border: 1px solid rgba(0,0,0,.4);\n}\n\n","lang":"css"},"children":[]}]}]},{"$$mdtype":"Tag","name":"iframe","attributes":{"src":"https://dc2-documentation.s3.amazonaws.com/documentation/slb-docs-test/5.0/examples/vue/tutorials/index.html#/Carnac/Groups/Transforms/transforms?section=withoutTransform&extract=true","width":"100%","height":"388.5px","style":{"border":"none"}},"children":[]},{"$$mdtype":"Tag","name":"Heading","attributes":{"level":3,"id":"local-transforms","__idx":2},"children":[{"$$mdtype":"Tag","name":"MarkdownLink","attributes":{"href":"#/Carnac/Groups/Transforms/transforms#local"},"children":["#"]}," Local Transforms"]},{"$$mdtype":"Tag","name":"p","attributes":{},"children":["All CarnacJS shapes and groups inherit from ",{"$$mdtype":"Tag","name":"code","attributes":{},"children":["geotoolkit/scene/AbstractNode"]},". This base class, AbstractNode, has a property called 'LocalTransform'. The AbstractNode class has methods such as 'translate', 'rotate', and 'scale' that manipulate this transformation. In this next canvas, Group group1, the group containing the blue triangle and the orange rectangle, is translated by (50,0)."]},{"$$mdtype":"Tag","name":"Tabs","attributes":{"size":"medium"},"children":[{"$$mdtype":"Tag","name":"div","attributes":{"label":"main","disable":false},"children":[{"$$mdtype":"Tag","name":"CodeBlock","attributes":{"data-language":"ts","header":{"controls":{"copy":{}}},"source":"import { Polygon } from \"@int/geotoolkit/scene/shapes/Polygon.ts\";\nimport { Rectangle } from \"@int/geotoolkit/scene/shapes/Rectangle.ts\";\nimport { Plot } from \"@int/geotoolkit/plot/Plot.ts\";\nimport { Group } from \"@int/geotoolkit/scene/Group.ts\";\nimport { KnownColors } from \"@int/geotoolkit/util/ColorUtil.ts\";\nfunction createScene(canvas) {\n  const triangle = new Polygon({\n    \"x\": [50, 50, 100],\n    \"y\": [50, 200, 200],\n    \"linestyle\": {\n      \"color\": KnownColors.Blue,\n      \"width\": 3\n    },\n    \"fillstyle\": KnownColors.LightBlue\n  });\n  const rectangle1 = new Rectangle({\n    \"left\": 25,\n    \"top\": 25,\n    \"right\": 225,\n    \"bottom\": 225,\n    \"linestyle\": KnownColors.Orange\n  });\n  const group1 = new Group().addChild([triangle, rectangle1]).translate(50, 0);\n  const rectangle2 = new Rectangle({\n    \"left\": 0,\n    \"top\": 0,\n    \"right\": 300,\n    \"bottom\": 300,\n    \"linestyle\": {\n      \"color\": KnownColors.LightGray,\n      \"width\": 10\n    }\n  });\n  return new Plot({\n    \"canvaselement\": canvas,\n    \"root\": new Group().addChild([rectangle2, group1])\n  });\n}\nexport { createScene };\n\ncreateScene(document.querySelector('[ref=\"plot\"]'));\n\n","lang":"ts"},"children":[]}]},{"$$mdtype":"Tag","name":"div","attributes":{"label":"css","disable":false},"children":[{"$$mdtype":"Tag","name":"CodeBlock","attributes":{"data-language":"css","header":{"controls":{"copy":{}}},"source":"\n.cg-tooltip-holder {\n  position: relative;\n}\n\n.cg-tooltip {\n  position: absolute;\n  display: block;\n  padding: 2px 12px 3px 7px;\n  overflow: visible !important;\n  font-family: Roboto, Helvetica, Arial, sans-serif;\n  font-size: 13px;\n  background: white !important;\n  opacity: 0.9;\n  color: #333333;\n  border: solid 1px gray;\n  border-radius: 5px;\n  text-align: left;\n  box-shadow: 0 4px 8px 0 rgba(0, 0, 0, 0.2), 0 6px 20px 0 rgba(0, 0, 0, 0.19);\n  border-radius: 5px;\n  margin: 0 !important;\n  z-index: 10000;\n  max-width: 400px;\n  text-wrap: normal !important;\n  white-space: normal !important;\n}\n/* Default setting for tooltip */\n.cg-tooltip-container {\n  position: absolute;\n  display: block;\n  overflow: visible !important;\n  font-family: Roboto, Helvetica, Arial, sans-serif;\n  font-size: 12px;\n  padding: 3px 7px;\n  background: #f7f7f7;\n  color: #333333;\n  border: 1px solid #938e8e;\n  opacity: 0.8;\n  text-align: left;\n  box-shadow: 3px 3px 10px #888;\n  margin: 0 !important;\n  z-index: 10000;\n  max-width: 400px;\n  text-wrap: normal !important;\n  white-space: normal !important;\n  user-select: none;\n}\n@media screen and (-ms-high-contrast: active), (-ms-high-contrast: none) {\n  .cg-tooltip-container {\n    border-radius: 0;\n  }\n}\n/* Default left arrow for tooltip */\n.cg-tooltip-arrow-left::before {\n  content: '';\n  position: absolute;\n  display: block;\n  width: 0px;\n  left: 0;\n  top: 50%;\n  border: 5px solid transparent;\n  border-left: 0;\n  border-right: 5px solid  #938e8e;\n  transform: translate(calc(-100%), -50%);\n}\n.cg-tooltip-arrow-left::after {\n  content: '';\n  position: absolute;\n  display: block;\n  width: 0px;\n  left: 0;\n  top: 50%;\n  border: 4px solid transparent;\n  border-left: 0;\n  border-right: 4px solid #f7f7f7;\n  transform: translate(calc(-100%), -50%);\n}\n/* Default top arrow for tooltip */\n.cg-tooltip-arrow-top::before {\n  content: '';\n  position: absolute;\n  display: block;\n  width: 0px;\n  left: 50%;\n  top: 0;\n  border: 5px solid transparent;\n  border-top: 0;\n  border-bottom: 5px solid #938e8e;\n  transform: translate(-50%, -100%);\n}\n.cg-tooltip-arrow-top::after {\n  content: '';\n  position: absolute;\n  display: block;\n  width: 0px;\n  left: 50%;\n  top: 0;\n  border: 4px solid transparent;\n  border-top: 0;\n  border-bottom: 4px solid #f7f7f7;\n  transform: translate(-50%, -100%);\n}\n/* Default right arrow for tooltip */\n.cg-tooltip-arrow-right::before {\n  content: '';\n  position: absolute;\n  display: block;\n  width: 0px;\n  right: 0;\n  top: 50%;\n  border: 5px solid transparent;\n  border-right: 0;\n  border-left: 5px solid #938e8e;\n  transform: translate(100%, -50%);\n}\n.cg-tooltip-arrow-right::after {\n  content: '';\n  position: absolute;\n  display: block;\n  width: 0px;\n  right: 0;\n  top: 50%;\n  border: 4px solid transparent;\n  border-right: 0;\n  border-left: 4px solid #f7f7f7;\n  transform: translate(100%, -50%);\n}\n/* Default bottom arrow for tooltip */\n.cg-tooltip-arrow-bottom::before {\n  content: '';\n  position: absolute;\n  display: block;\n  width: 0px;\n  left: 50%;\n  bottom: 0px;\n  border: 5px solid transparent;\n  border-bottom: 0;\n  border-top: 5px solid #938e8e;\n  transform: translate(-50%, 100%);\n  z-index: 10000;\n}\n.cg-tooltip-arrow-bottom::after {\n  content: '';\n  position: absolute;\n  display: block;\n  width: 0px;\n  left: 50%;\n  bottom: 0;\n  border: 4px solid transparent;\n  border-bottom: 0;\n  border-top: 4px solid #f7f7f7;\n  transform: translate(-50%, 100%);\n  z-index: 10000;\n}\n/* Tooltip item name */\n/* Tooltip item value */\n/* .cg-tooltip-item-value */\n/* Tooltip item value */\n.cg-tooltip-item-unit {\n  text-transform: none;\n}\n\n.cg-tooltip-item-name {\n    text-transform: capitalize;\n    white-space: nowrap;\n    vertical-align: middle;\n    font-size: 13px;\n}\n.cg-tooltip-row {\n  display: flex;\n  flex-direction: row;\n  align-items: center;\n  white-space: pre-wrap;\n  font-size: 12px;\n  line-height: 100%;\n  margin: 1px 0;\n}\n.cg-tooltip-title {\n  font-size: 13px;\n  height: 14px;\n  text-transform: capitalize;\n}\n.cg-tooltip-title .cg-tooltip-symbol {\n  margin-right: 0 !important;\n}\n.cg-tooltip-title-name {\n  vertical-align: middle;\n}\n.cg-tooltip-row + .cg-tooltip-row {\n  margin-top: 4px;\n}\n.cg-tooltip-row.cg-tooltip-title + .cg-tooltip-row {\n  margin-top: 5px;\n}\n.cg-tooltip-item-value + .cg-tooltip-item-unit {\n    margin-left: 1px;\n}\n/* Tooltip symbol */\n.cg-tooltip-symbol-cell {\n  display: inline-flex;\n  min-width: 13px; /* 10px size + 3px margin */\n}\n.cg-tooltip-symbol {\n  margin-right: 3px;\n  background-color: transparent;\n  display: block;\n}\n.cg-tooltip-symbol > img {\n  display: block;\n}\n.cg-tooltip-list-cell {\n  display: inline-flex;\n}\n.cg-tooltip-list-symbol {\n  display: block;\n  margin-right: 3px;\n  width: 6px;\n  height: 6px;\n  vertical-align: middle;\n  border-radius: 50%;\n  border: 1px solid rgba(0,0,0,.4);\n}\n.cg-tooltip-symbol-legacy {\n  border-radius: 4px;\n  margin-right: 5px;\n  height: 8px;\n  width: 8px;\n  display: inline-block;\n}\n.cg-tooltip-title-legacy {\n  font-weight: 900;\n}\n\n/* Tooltip symbol circle */\n.cg-tooltip-symbol.circle {\n  height: 10px;\n  width: 10px;\n  display: inline-block;\n  border-radius: 50%;\n  border: 1px solid rgba(0,0,0,.4);\n}\n/* Tooltip symbol line */\n.cg-tooltip-symbol.line {\n    height: 10px;\n    width: 10px;\n    display: inline-block;\n    transform: scale(1.2, 0.2);\n}\n/* Tooltip symbol diamond */\n.cg-tooltip-symbol.diamond {\n    height: 10px;\n    width: 10px;\n    display: inline-block;\n    transform: rotate(45deg);\n    border-radius: 0px;\n}\n/* Tooltip symbol square */\n.cg-tooltip-symbol.square {\n    height: 10px;\n    width: 10px;\n    display: inline-block;\n    border-radius: 0px;\n    border: 1px solid rgba(0,0,0,.4);\n}\n\n","lang":"css"},"children":[]}]}]},{"$$mdtype":"Tag","name":"iframe","attributes":{"src":"https://dc2-documentation.s3.amazonaws.com/documentation/slb-docs-test/5.0/examples/vue/tutorials/index.html#/Carnac/Groups/Transforms/transforms?section=local&extract=true","width":"100%","height":"388.5px","style":{"border":"none"}},"children":[]},{"$$mdtype":"Tag","name":"Heading","attributes":{"level":3,"id":"contents-transform","__idx":3},"children":[{"$$mdtype":"Tag","name":"MarkdownLink","attributes":{"href":"#/Carnac/Groups/Transforms/transforms#contents"},"children":["#"]}," Contents Transform"]},{"$$mdtype":"Tag","name":"p","attributes":{},"children":["The Group class introduces the concepts of model limits and bounds. The Group defines the Contents transformation to be the transformation from modelLimits to bounds. The Contents transformation cannot be set directly, but it can be set ",{"$$mdtype":"Tag","name":"em","attributes":{},"children":["indirectly"]}," by changing either the modelLimits or the bounds. If either the modelLimits or the bounds are not set on a Group, the Contents transformation is simply an identity transform."]},{"$$mdtype":"Tag","name":"p","attributes":{},"children":["This canvas shows the scene graph only using a contents transformation. On group1, the modelLimits and bounds properties are set."]},{"$$mdtype":"Tag","name":"Tabs","attributes":{"size":"medium"},"children":[{"$$mdtype":"Tag","name":"div","attributes":{"label":"main","disable":false},"children":[{"$$mdtype":"Tag","name":"CodeBlock","attributes":{"data-language":"ts","header":{"controls":{"copy":{}}},"source":"import { Polygon } from \"@int/geotoolkit/scene/shapes/Polygon.ts\";\nimport { Rect } from \"@int/geotoolkit/util/Rect.ts\";\nimport { Rectangle } from \"@int/geotoolkit/scene/shapes/Rectangle.ts\";\nimport { Plot } from \"@int/geotoolkit/plot/Plot.ts\";\nimport { Group } from \"@int/geotoolkit/scene/Group.ts\";\nimport { KnownColors } from \"@int/geotoolkit/util/ColorUtil.ts\";\nfunction createScene(canvas) {\n  const triangle = new Polygon({\n    \"x\": [0.5, 0.5, 1],\n    \"y\": [0.5, 2, 2],\n    \"linestyle\": {\n      \"color\": KnownColors.Blue,\n      \"width\": 3\n    },\n    \"fillstyle\": KnownColors.LightBlue\n  });\n  const rectangle1 = new Rectangle({\n    \"left\": 0.25,\n    \"top\": 0.25,\n    \"right\": 2.25,\n    \"bottom\": 2.25,\n    \"linestyle\": KnownColors.Orange\n  });\n  const group1 = new Group().setBounds(new Rect(0, 0, 300, 300)).setModelLimits(new Rect(0.25, 0.25, 2.25, 2.25)).addChild([triangle, rectangle1]);\n  const rectangle2 = new Rectangle({\n    \"left\": 0,\n    \"top\": 0,\n    \"right\": 300,\n    \"bottom\": 300,\n    \"linestyle\": {\n      \"color\": KnownColors.LightGray,\n      \"width\": 10\n    }\n  });\n  return new Plot({\n    \"canvaselement\": canvas,\n    \"root\": new Group().addChild([rectangle2, group1])\n  });\n}\nexport { createScene };\n\ncreateScene(document.querySelector('[ref=\"plot\"]'));\n\n","lang":"ts"},"children":[]}]},{"$$mdtype":"Tag","name":"div","attributes":{"label":"css","disable":false},"children":[{"$$mdtype":"Tag","name":"CodeBlock","attributes":{"data-language":"css","header":{"controls":{"copy":{}}},"source":"\n.cg-tooltip-holder {\n  position: relative;\n}\n\n.cg-tooltip {\n  position: absolute;\n  display: block;\n  padding: 2px 12px 3px 7px;\n  overflow: visible !important;\n  font-family: Roboto, Helvetica, Arial, sans-serif;\n  font-size: 13px;\n  background: white !important;\n  opacity: 0.9;\n  color: #333333;\n  border: solid 1px gray;\n  border-radius: 5px;\n  text-align: left;\n  box-shadow: 0 4px 8px 0 rgba(0, 0, 0, 0.2), 0 6px 20px 0 rgba(0, 0, 0, 0.19);\n  border-radius: 5px;\n  margin: 0 !important;\n  z-index: 10000;\n  max-width: 400px;\n  text-wrap: normal !important;\n  white-space: normal !important;\n}\n/* Default setting for tooltip */\n.cg-tooltip-container {\n  position: absolute;\n  display: block;\n  overflow: visible !important;\n  font-family: Roboto, Helvetica, Arial, sans-serif;\n  font-size: 12px;\n  padding: 3px 7px;\n  background: #f7f7f7;\n  color: #333333;\n  border: 1px solid #938e8e;\n  opacity: 0.8;\n  text-align: left;\n  box-shadow: 3px 3px 10px #888;\n  margin: 0 !important;\n  z-index: 10000;\n  max-width: 400px;\n  text-wrap: normal !important;\n  white-space: normal !important;\n  user-select: none;\n}\n@media screen and (-ms-high-contrast: active), (-ms-high-contrast: none) {\n  .cg-tooltip-container {\n    border-radius: 0;\n  }\n}\n/* Default left arrow for tooltip */\n.cg-tooltip-arrow-left::before {\n  content: '';\n  position: absolute;\n  display: block;\n  width: 0px;\n  left: 0;\n  top: 50%;\n  border: 5px solid transparent;\n  border-left: 0;\n  border-right: 5px solid  #938e8e;\n  transform: translate(calc(-100%), -50%);\n}\n.cg-tooltip-arrow-left::after {\n  content: '';\n  position: absolute;\n  display: block;\n  width: 0px;\n  left: 0;\n  top: 50%;\n  border: 4px solid transparent;\n  border-left: 0;\n  border-right: 4px solid #f7f7f7;\n  transform: translate(calc(-100%), -50%);\n}\n/* Default top arrow for tooltip */\n.cg-tooltip-arrow-top::before {\n  content: '';\n  position: absolute;\n  display: block;\n  width: 0px;\n  left: 50%;\n  top: 0;\n  border: 5px solid transparent;\n  border-top: 0;\n  border-bottom: 5px solid #938e8e;\n  transform: translate(-50%, -100%);\n}\n.cg-tooltip-arrow-top::after {\n  content: '';\n  position: absolute;\n  display: block;\n  width: 0px;\n  left: 50%;\n  top: 0;\n  border: 4px solid transparent;\n  border-top: 0;\n  border-bottom: 4px solid #f7f7f7;\n  transform: translate(-50%, -100%);\n}\n/* Default right arrow for tooltip */\n.cg-tooltip-arrow-right::before {\n  content: '';\n  position: absolute;\n  display: block;\n  width: 0px;\n  right: 0;\n  top: 50%;\n  border: 5px solid transparent;\n  border-right: 0;\n  border-left: 5px solid #938e8e;\n  transform: translate(100%, -50%);\n}\n.cg-tooltip-arrow-right::after {\n  content: '';\n  position: absolute;\n  display: block;\n  width: 0px;\n  right: 0;\n  top: 50%;\n  border: 4px solid transparent;\n  border-right: 0;\n  border-left: 4px solid #f7f7f7;\n  transform: translate(100%, -50%);\n}\n/* Default bottom arrow for tooltip */\n.cg-tooltip-arrow-bottom::before {\n  content: '';\n  position: absolute;\n  display: block;\n  width: 0px;\n  left: 50%;\n  bottom: 0px;\n  border: 5px solid transparent;\n  border-bottom: 0;\n  border-top: 5px solid #938e8e;\n  transform: translate(-50%, 100%);\n  z-index: 10000;\n}\n.cg-tooltip-arrow-bottom::after {\n  content: '';\n  position: absolute;\n  display: block;\n  width: 0px;\n  left: 50%;\n  bottom: 0;\n  border: 4px solid transparent;\n  border-bottom: 0;\n  border-top: 4px solid #f7f7f7;\n  transform: translate(-50%, 100%);\n  z-index: 10000;\n}\n/* Tooltip item name */\n/* Tooltip item value */\n/* .cg-tooltip-item-value */\n/* Tooltip item value */\n.cg-tooltip-item-unit {\n  text-transform: none;\n}\n\n.cg-tooltip-item-name {\n    text-transform: capitalize;\n    white-space: nowrap;\n    vertical-align: middle;\n    font-size: 13px;\n}\n.cg-tooltip-row {\n  display: flex;\n  flex-direction: row;\n  align-items: center;\n  white-space: pre-wrap;\n  font-size: 12px;\n  line-height: 100%;\n  margin: 1px 0;\n}\n.cg-tooltip-title {\n  font-size: 13px;\n  height: 14px;\n  text-transform: capitalize;\n}\n.cg-tooltip-title .cg-tooltip-symbol {\n  margin-right: 0 !important;\n}\n.cg-tooltip-title-name {\n  vertical-align: middle;\n}\n.cg-tooltip-row + .cg-tooltip-row {\n  margin-top: 4px;\n}\n.cg-tooltip-row.cg-tooltip-title + .cg-tooltip-row {\n  margin-top: 5px;\n}\n.cg-tooltip-item-value + .cg-tooltip-item-unit {\n    margin-left: 1px;\n}\n/* Tooltip symbol */\n.cg-tooltip-symbol-cell {\n  display: inline-flex;\n  min-width: 13px; /* 10px size + 3px margin */\n}\n.cg-tooltip-symbol {\n  margin-right: 3px;\n  background-color: transparent;\n  display: block;\n}\n.cg-tooltip-symbol > img {\n  display: block;\n}\n.cg-tooltip-list-cell {\n  display: inline-flex;\n}\n.cg-tooltip-list-symbol {\n  display: block;\n  margin-right: 3px;\n  width: 6px;\n  height: 6px;\n  vertical-align: middle;\n  border-radius: 50%;\n  border: 1px solid rgba(0,0,0,.4);\n}\n.cg-tooltip-symbol-legacy {\n  border-radius: 4px;\n  margin-right: 5px;\n  height: 8px;\n  width: 8px;\n  display: inline-block;\n}\n.cg-tooltip-title-legacy {\n  font-weight: 900;\n}\n\n/* Tooltip symbol circle */\n.cg-tooltip-symbol.circle {\n  height: 10px;\n  width: 10px;\n  display: inline-block;\n  border-radius: 50%;\n  border: 1px solid rgba(0,0,0,.4);\n}\n/* Tooltip symbol line */\n.cg-tooltip-symbol.line {\n    height: 10px;\n    width: 10px;\n    display: inline-block;\n    transform: scale(1.2, 0.2);\n}\n/* Tooltip symbol diamond */\n.cg-tooltip-symbol.diamond {\n    height: 10px;\n    width: 10px;\n    display: inline-block;\n    transform: rotate(45deg);\n    border-radius: 0px;\n}\n/* Tooltip symbol square */\n.cg-tooltip-symbol.square {\n    height: 10px;\n    width: 10px;\n    display: inline-block;\n    border-radius: 0px;\n    border: 1px solid rgba(0,0,0,.4);\n}\n\n","lang":"css"},"children":[]}]}]},{"$$mdtype":"Tag","name":"iframe","attributes":{"src":"https://dc2-documentation.s3.amazonaws.com/documentation/slb-docs-test/5.0/examples/vue/tutorials/index.html#/Carnac/Groups/Transforms/transforms?section=contents&extract=true","width":"100%","height":"388.5px","style":{"border":"none"}},"children":[]},{"$$mdtype":"Tag","name":"Heading","attributes":{"level":3,"id":"world-transform","__idx":4},"children":[{"$$mdtype":"Tag","name":"MarkdownLink","attributes":{"href":"#/Carnac/Groups/Transforms/transforms#world"},"children":["#"]}," World Transform"]},{"$$mdtype":"Tag","name":"p","attributes":{},"children":["The Group class defines the World transformation to be the product of the localTransform and the Contents transform. The canvas below shows the scene graph while using both a localTransform and a Contents transform. Thus, it has a non-trivial World transformation. In this case, the modelLimits and the bounds on the Group group1 are defined and also a ",{"$$mdtype":"Tag","name":"code","attributes":{},"children":["translate(50,0)"]}," has been applied to group1."]},{"$$mdtype":"Tag","name":"Tabs","attributes":{"size":"medium"},"children":[{"$$mdtype":"Tag","name":"div","attributes":{"label":"main","disable":false},"children":[{"$$mdtype":"Tag","name":"CodeBlock","attributes":{"data-language":"ts","header":{"controls":{"copy":{}}},"source":"import { Rect } from \"@int/geotoolkit/util/Rect.ts\";\nimport { Rectangle } from \"@int/geotoolkit/scene/shapes/Rectangle.ts\";\nimport { Plot } from \"@int/geotoolkit/plot/Plot.ts\";\nimport { Polygon } from \"@int/geotoolkit/scene/shapes/Polygon.ts\";\nimport { Group } from \"@int/geotoolkit/scene/Group.ts\";\nimport { KnownColors } from \"@int/geotoolkit/util/ColorUtil.ts\";\nfunction createScene(canvas) {\n  const triangle = new Polygon({\n    \"x\": [0.5, 0.5, 1],\n    \"y\": [0.5, 2, 2],\n    \"linestyle\": {\n      \"color\": KnownColors.Blue,\n      \"width\": 3\n    },\n    \"fillstyle\": KnownColors.LightBlue\n  });\n  const rectangle1 = new Rectangle({\n    \"left\": 0.25,\n    \"top\": 0.25,\n    \"right\": 2.25,\n    \"bottom\": 2.25,\n    \"linestyle\": KnownColors.Orange\n  });\n  const group1 = new Group().setModelLimits(new Rect(0.25, 0.25, 2.25, 2.25)).setBounds(new Rect(0, 0, 300, 300)).addChild([triangle, rectangle1]).translate(50, 0);\n  const rectangle2 = new Rectangle({\n    \"left\": 0,\n    \"top\": 0,\n    \"right\": 300,\n    \"bottom\": 300,\n    \"linestyle\": {\n      \"color\": KnownColors.LightGray,\n      \"width\": 10\n    }\n  });\n  return new Plot({\n    \"canvaselement\": canvas,\n    \"root\": new Group().addChild([rectangle2, group1])\n  });\n}\nexport { createScene };\n\ncreateScene(document.querySelector('[ref=\"plot\"]'));\n\n","lang":"ts"},"children":[]}]},{"$$mdtype":"Tag","name":"div","attributes":{"label":"css","disable":false},"children":[{"$$mdtype":"Tag","name":"CodeBlock","attributes":{"data-language":"css","header":{"controls":{"copy":{}}},"source":"\n.cg-tooltip-holder {\n  position: relative;\n}\n\n.cg-tooltip {\n  position: absolute;\n  display: block;\n  padding: 2px 12px 3px 7px;\n  overflow: visible !important;\n  font-family: Roboto, Helvetica, Arial, sans-serif;\n  font-size: 13px;\n  background: white !important;\n  opacity: 0.9;\n  color: #333333;\n  border: solid 1px gray;\n  border-radius: 5px;\n  text-align: left;\n  box-shadow: 0 4px 8px 0 rgba(0, 0, 0, 0.2), 0 6px 20px 0 rgba(0, 0, 0, 0.19);\n  border-radius: 5px;\n  margin: 0 !important;\n  z-index: 10000;\n  max-width: 400px;\n  text-wrap: normal !important;\n  white-space: normal !important;\n}\n/* Default setting for tooltip */\n.cg-tooltip-container {\n  position: absolute;\n  display: block;\n  overflow: visible !important;\n  font-family: Roboto, Helvetica, Arial, sans-serif;\n  font-size: 12px;\n  padding: 3px 7px;\n  background: #f7f7f7;\n  color: #333333;\n  border: 1px solid #938e8e;\n  opacity: 0.8;\n  text-align: left;\n  box-shadow: 3px 3px 10px #888;\n  margin: 0 !important;\n  z-index: 10000;\n  max-width: 400px;\n  text-wrap: normal !important;\n  white-space: normal !important;\n  user-select: none;\n}\n@media screen and (-ms-high-contrast: active), (-ms-high-contrast: none) {\n  .cg-tooltip-container {\n    border-radius: 0;\n  }\n}\n/* Default left arrow for tooltip */\n.cg-tooltip-arrow-left::before {\n  content: '';\n  position: absolute;\n  display: block;\n  width: 0px;\n  left: 0;\n  top: 50%;\n  border: 5px solid transparent;\n  border-left: 0;\n  border-right: 5px solid  #938e8e;\n  transform: translate(calc(-100%), -50%);\n}\n.cg-tooltip-arrow-left::after {\n  content: '';\n  position: absolute;\n  display: block;\n  width: 0px;\n  left: 0;\n  top: 50%;\n  border: 4px solid transparent;\n  border-left: 0;\n  border-right: 4px solid #f7f7f7;\n  transform: translate(calc(-100%), -50%);\n}\n/* Default top arrow for tooltip */\n.cg-tooltip-arrow-top::before {\n  content: '';\n  position: absolute;\n  display: block;\n  width: 0px;\n  left: 50%;\n  top: 0;\n  border: 5px solid transparent;\n  border-top: 0;\n  border-bottom: 5px solid #938e8e;\n  transform: translate(-50%, -100%);\n}\n.cg-tooltip-arrow-top::after {\n  content: '';\n  position: absolute;\n  display: block;\n  width: 0px;\n  left: 50%;\n  top: 0;\n  border: 4px solid transparent;\n  border-top: 0;\n  border-bottom: 4px solid #f7f7f7;\n  transform: translate(-50%, -100%);\n}\n/* Default right arrow for tooltip */\n.cg-tooltip-arrow-right::before {\n  content: '';\n  position: absolute;\n  display: block;\n  width: 0px;\n  right: 0;\n  top: 50%;\n  border: 5px solid transparent;\n  border-right: 0;\n  border-left: 5px solid #938e8e;\n  transform: translate(100%, -50%);\n}\n.cg-tooltip-arrow-right::after {\n  content: '';\n  position: absolute;\n  display: block;\n  width: 0px;\n  right: 0;\n  top: 50%;\n  border: 4px solid transparent;\n  border-right: 0;\n  border-left: 4px solid #f7f7f7;\n  transform: translate(100%, -50%);\n}\n/* Default bottom arrow for tooltip */\n.cg-tooltip-arrow-bottom::before {\n  content: '';\n  position: absolute;\n  display: block;\n  width: 0px;\n  left: 50%;\n  bottom: 0px;\n  border: 5px solid transparent;\n  border-bottom: 0;\n  border-top: 5px solid #938e8e;\n  transform: translate(-50%, 100%);\n  z-index: 10000;\n}\n.cg-tooltip-arrow-bottom::after {\n  content: '';\n  position: absolute;\n  display: block;\n  width: 0px;\n  left: 50%;\n  bottom: 0;\n  border: 4px solid transparent;\n  border-bottom: 0;\n  border-top: 4px solid #f7f7f7;\n  transform: translate(-50%, 100%);\n  z-index: 10000;\n}\n/* Tooltip item name */\n/* Tooltip item value */\n/* .cg-tooltip-item-value */\n/* Tooltip item value */\n.cg-tooltip-item-unit {\n  text-transform: none;\n}\n\n.cg-tooltip-item-name {\n    text-transform: capitalize;\n    white-space: nowrap;\n    vertical-align: middle;\n    font-size: 13px;\n}\n.cg-tooltip-row {\n  display: flex;\n  flex-direction: row;\n  align-items: center;\n  white-space: pre-wrap;\n  font-size: 12px;\n  line-height: 100%;\n  margin: 1px 0;\n}\n.cg-tooltip-title {\n  font-size: 13px;\n  height: 14px;\n  text-transform: capitalize;\n}\n.cg-tooltip-title .cg-tooltip-symbol {\n  margin-right: 0 !important;\n}\n.cg-tooltip-title-name {\n  vertical-align: middle;\n}\n.cg-tooltip-row + .cg-tooltip-row {\n  margin-top: 4px;\n}\n.cg-tooltip-row.cg-tooltip-title + .cg-tooltip-row {\n  margin-top: 5px;\n}\n.cg-tooltip-item-value + .cg-tooltip-item-unit {\n    margin-left: 1px;\n}\n/* Tooltip symbol */\n.cg-tooltip-symbol-cell {\n  display: inline-flex;\n  min-width: 13px; /* 10px size + 3px margin */\n}\n.cg-tooltip-symbol {\n  margin-right: 3px;\n  background-color: transparent;\n  display: block;\n}\n.cg-tooltip-symbol > img {\n  display: block;\n}\n.cg-tooltip-list-cell {\n  display: inline-flex;\n}\n.cg-tooltip-list-symbol {\n  display: block;\n  margin-right: 3px;\n  width: 6px;\n  height: 6px;\n  vertical-align: middle;\n  border-radius: 50%;\n  border: 1px solid rgba(0,0,0,.4);\n}\n.cg-tooltip-symbol-legacy {\n  border-radius: 4px;\n  margin-right: 5px;\n  height: 8px;\n  width: 8px;\n  display: inline-block;\n}\n.cg-tooltip-title-legacy {\n  font-weight: 900;\n}\n\n/* Tooltip symbol circle */\n.cg-tooltip-symbol.circle {\n  height: 10px;\n  width: 10px;\n  display: inline-block;\n  border-radius: 50%;\n  border: 1px solid rgba(0,0,0,.4);\n}\n/* Tooltip symbol line */\n.cg-tooltip-symbol.line {\n    height: 10px;\n    width: 10px;\n    display: inline-block;\n    transform: scale(1.2, 0.2);\n}\n/* Tooltip symbol diamond */\n.cg-tooltip-symbol.diamond {\n    height: 10px;\n    width: 10px;\n    display: inline-block;\n    transform: rotate(45deg);\n    border-radius: 0px;\n}\n/* Tooltip symbol square */\n.cg-tooltip-symbol.square {\n    height: 10px;\n    width: 10px;\n    display: inline-block;\n    border-radius: 0px;\n    border: 1px solid rgba(0,0,0,.4);\n}\n\n","lang":"css"},"children":[]}]}]},{"$$mdtype":"Tag","name":"iframe","attributes":{"src":"https://dc2-documentation.s3.amazonaws.com/documentation/slb-docs-test/5.0/examples/vue/tutorials/index.html#/Carnac/Groups/Transforms/transforms?section=world&extract=true","width":"100%","height":"388.5px","style":{"border":"none"}},"children":[]},{"$$mdtype":"Tag","name":"Heading","attributes":{"level":3,"id":"scene-transform","__idx":5},"children":[{"$$mdtype":"Tag","name":"MarkdownLink","attributes":{"href":"#/Carnac/Groups/Transforms/transforms#scene"},"children":["#"]}," Scene Transform"]},{"$$mdtype":"Tag","name":"p","attributes":{},"children":["The Group class also has a scene transformation. This is the transformation from the model of a particular Group up to the root of the scene graph. Thus, this transformation is the product of the World transforms starting at the given node up the scene graph to the root. For example, the scene transform at node 1 is W0*W1 where W1 is the world transform at node 1, and W0 at node 0 (the root)."]}]},"headings":[{"value":"Transforms","id":"transforms","depth":1},{"value":"Scenegraph Without Any Transform","id":"scenegraph-without-any-transform","depth":3},{"value":"Local Transforms","id":"local-transforms","depth":3},{"value":"Contents Transform","id":"contents-transform","depth":3},{"value":"World Transform","id":"world-transform","depth":3},{"value":"Scene Transform","id":"scene-transform","depth":3}],"frontmatter":{"title":"Transforms","seo":{"title":"Transforms"}},"lastModified":"2026-02-11T19:54:32.000Z","pagePropGetterError":{"message":"","name":""}},"slug":"/solutions/geotoolkit/tutorials/carnac/groups/transforms","userData":{"isAuthenticated":false,"teams":["anonymous"]},"isPublic":true}