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Linear Perspective Calculation
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| { | |
| "uuid": "055a26fa-11eb-4f67-97bb-f93dd8664668", | |
| "description": "Linear Perspective Calculation", | |
| "dependencies": { | |
| "DomReady": "latest", | |
| "davinci-blade": "1.1.1" | |
| }, | |
| "operatorOverloading": true | |
| } |
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| <!doctype html> | |
| <html> | |
| <head> | |
| <style> | |
| /* STYLE-MARKER */ | |
| </style> | |
| <!-- SCRIPTS-MARKER --> | |
| </head> | |
| <body> | |
| <pre id='output'></pre> | |
| <script> | |
| // CODE-MARKER | |
| </script> | |
| </body> | |
| </html> |
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| DomReady.ready(main); | |
| function main() { | |
| try { | |
| calculation(); | |
| } | |
| catch(e) { | |
| function red(arg: any) { | |
| return "<span style='color:red'>" + arg + "</span>"; | |
| } | |
| println(red(e.message)); | |
| } | |
| } | |
| var e1 = blade.vectorE3(1,0,0); | |
| var e2 = blade.vectorE3(0,1,0); | |
| var e3 = blade.vectorE3(0,0,1); | |
| var I = e1 * e2 * e3; | |
| /** | |
| * Linear Perspective Calculation. | |
| */ | |
| function calculation() { | |
| // Input variables | |
| var P = blade.vectorE3(1.0, 0.5, -1.5); | |
| var eye = blade.vectorE3(4,4,4); | |
| var look = blade.vectorE3(0,1,0); | |
| var up = blade.vectorE3(0,1,0); | |
| var near = 1; | |
| showvar('P', P); | |
| showvar('eye', eye); | |
| showvar('look', look); | |
| showvar('up', up); | |
| showvar('near', near); | |
| println('----------') | |
| var n = eye - look; | |
| n = n / n.norm(); | |
| showvar('n', n.toFixed(4)); | |
| var B1 = n ^ up; | |
| B1 = B1 / B1.norm(); | |
| showvar('B<sub>1</sub> = n ^ up', B1.toFixed(4)); | |
| var u = I * B1; // up.cross(n) | |
| showvar('u = up × n = I * B<sub>1</sub>', u.toFixed(4)); | |
| var v = n.cross(u); | |
| showvar('v = n × u = I * B<sub>1</sub>', v.toFixed(4)); | |
| showvar('u × v', u.cross(v).toFixed(4)); | |
| var Q = eye - (near/(n << (P-eye))) * (P-eye); | |
| showvar('Q', Q.toFixed(4)); | |
| } | |
| /** | |
| * Print the HTML string without a line ending. | |
| */ | |
| function print(html: string): void { | |
| var element = document.getElementById('output'); | |
| element.innerHTML = element.innerHTML + html; | |
| } | |
| /** | |
| * Print the HTML string and go to the next line. | |
| */ | |
| function println(html: string): void { | |
| print(html + '\n'); | |
| } | |
| function showvar(name: string, value: any) { | |
| println("<b>" + name + "</b> => " + value) | |
| } |
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| #output { | |
| position: absolute; | |
| left: 400px; | |
| top: 100px; | |
| font-size: 26pt; | |
| } |
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