From cdf24f95ba65bda5f0b630dc1895788eb9e09792 Mon Sep 17 00:00:00 2001 From: erichlof Date: Wed, 20 Sep 2023 15:38:24 -0500 Subject: [PATCH] Add Ch1_Ep3 Ray-Sphere Intersect Code & Demo! --- .../Episode_3/Chapter1_Episode3_Slides(0).png | Bin 0 -> 51119 bytes .../Episode_3/Chapter1_Episode3_Slides(1).png | Bin 0 -> 179174 bytes .../Episode_3/Chapter1_Episode3_Slides(2).png | Bin 0 -> 217933 bytes .../Episode_3/Chapter1_Episode3_Slides(3).png | Bin 0 -> 242008 bytes .../Episode_3/Chapter1_Episode3_Slides(4).png | Bin 0 -> 490719 bytes .../Episode_3/Chapter1_Episode3_Slides(5).png | Bin 0 -> 184826 bytes Chapter_1/Episode_3/css/rayTracingStyles.css | 24 +++ Chapter_1/Episode_3/intersectSphere.html | 15 ++ Chapter_1/Episode_3/js/intersectSphere.js | 113 ++++++++++++ Chapter_1/Episode_3/js/mathUtils.js | 165 ++++++++++++++++++ README.md | 1 + 11 files changed, 318 insertions(+) create mode 100644 Chapter_1/Episode_3/Chapter1_Episode3_Slides(0).png create mode 100644 Chapter_1/Episode_3/Chapter1_Episode3_Slides(1).png create mode 100644 Chapter_1/Episode_3/Chapter1_Episode3_Slides(2).png create mode 100644 Chapter_1/Episode_3/Chapter1_Episode3_Slides(3).png create mode 100644 Chapter_1/Episode_3/Chapter1_Episode3_Slides(4).png create mode 100644 Chapter_1/Episode_3/Chapter1_Episode3_Slides(5).png create mode 100644 Chapter_1/Episode_3/css/rayTracingStyles.css create mode 100644 Chapter_1/Episode_3/intersectSphere.html create mode 100644 Chapter_1/Episode_3/js/intersectSphere.js create mode 100644 Chapter_1/Episode_3/js/mathUtils.js diff --git a/Chapter_1/Episode_3/Chapter1_Episode3_Slides(0).png b/Chapter_1/Episode_3/Chapter1_Episode3_Slides(0).png new file mode 100644 index 0000000000000000000000000000000000000000..f644c53821e5721ebc257260d9f7ce1e1a3a1f6a GIT binary patch literal 51119 zcmeFZ^;cAH_%5s?jdV#1NViBxj&ukpDJ@9H&|Qv{fP|!Uhop22jdTs2Lw7sU`ELB2 z^Zp0#yUtnb`-{u9hqd>f=egs$uj_gy^qqP?uRN^Omw96CW%^OyN07x-)`|EGfzPZ04}RVt7#Go~%$e1YZ(^E)buP@qUYm z;NO2GJKjK<0v|5_MkluX?~)Jre=hwWx)R$Umc-~Q-+-sb28zCd=T%v-_gt@sh8X|t zU^wysCQPlitw$RkGK|eQPP~>liS9_@*H4HI+cy2UC+%NF- zGYJipV*Iwe1sqZlqp#qe(sWkX<1J_BaL_K@VM7Grvr<@l*g@q=K4e9I(I{+*r`*=I z5|;hWZUXF05;Ebe$L@Z#T1FY;g!wa6gjDd(VHOejsJIMXnFpf>qFPd3o&}D29E9Nl zd|y*R>yec0P12xMlI`6bH1lSdX+ocuulU+1uT9qp<#m4nzk@pyei|5Ch?ziI|3aLh zsvXfe6^27gRpX8v3d%q~anfdfSXM_?V`%WBz8Rr#w&up71&!T_Mb1b4-AoOX9BwW6 zP>2KfG>F~Rb_;mcOMapS=M*W~e8VrhYaufYG#iBKgUXsa^PKGES%QDNW_7E2Y}~_N z@~^VFAN+7~DTVOeUM*I-O6s>qfo|_&P95W6u0{Ork^%GRE)1vT`)rBPyAbKNL;gV# z`{!08$kZxrPAw<@-oc_O53CzQr>u$k@r8(gN&Nv>;gB53;)Go>)U)Ko3+u|QSS zGnp!`n-Z-aS&HYbQawwfOMB?sg{PcsE-K8`MIkP9;!XF4- z?1^OlDb7p{O9WvCBcshQ%@*nNhdc9L&Y@g|Few+|?&4q;3uOCmlu`S>V$li@axyNp zWRZQ#Ti`eZLx8t-g~!D zZ@n;O!Hca9pC4ch^vwf5l#TLlYTR(MqOPK~FB4UIMN!oHKh>`@uHB;a_}KZlyFqvA zS<3A0rxdZlJB<

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+ + + + + \ No newline at end of file diff --git a/Chapter_1/Episode_3/js/intersectSphere.js b/Chapter_1/Episode_3/js/intersectSphere.js new file mode 100644 index 0000000..7f55bd6 --- /dev/null +++ b/Chapter_1/Episode_3/js/intersectSphere.js @@ -0,0 +1,113 @@ +let canvas = document.getElementById("myCanvas"); +let context = canvas.getContext("2d"); + +let aspectRatio = 0; + +let userInfo = document.getElementById("userInfo"); + + +window.addEventListener("resize", handleWindowResize); +function handleWindowResize() +{ + canvas.width = window.innerWidth; + canvas.height = window.innerHeight; + + aspectRatio = canvas.width / canvas.height; + + userInfo.innerHTML = "canvasW: " + canvas.width + " canvasH: " + canvas.height + "
" + + "total pixel count: " + (canvas.width * canvas.height); + + // redraw the screen + draw(); +} + +let canvasX = 0; +let canvasY = 0; + +let rayOrigin = new Vector3(0, 0, 0); +let rayDirection = new Vector3(); +let colorVector = new Vector3(); // x = r, y = g, z = b + +let skyColor = new Vector3(0.2, 0.6, 1.0); +let groundColor = new Vector3(0.5, 0.5, 0.5); +let fogColor = new Vector3(0.7, 0.7, 0.7); +let gradientSkyColor = new Vector3(); + +let planeOrigin = new Vector3(0, -3, 0); +let planeNormal = new Vector3(0, 1, 0); +planeNormal.normalize(); + +let sphereRadius = 3; +let spherePosition = new Vector3(0, planeOrigin.y + sphereRadius, -10); +let sphereColor = new Vector3(0.8, 0.01, 0.01); + +let t = 0; +let nearestT = 0; + +function draw() +{ + // loop over all pixels on screen + for (let row = 0; row < canvas.height; row++) + { + for (let column = 0; column < canvas.width; column++) + { + canvasX = column / (canvas.width - 1); + canvasY = row / (canvas.height - 1); + // flip Y coordinates so 0 is bottom of screen and 1 is top of screen + canvasY = 1 - canvasY; + // canvasX goes from 0.0 to 1.0 + // canvasY goes from 0.0 to 1.0 + + canvasX *= 2; // canvasX goes from 0 to 2 + canvasY *= 2; // canvasY goes from 0 to 2 + canvasX -= 1; + canvasY -= 1; + // canvasX now goes from -1.0 to +1.0 (left to right) + // canvasY now goes from -1.0 to +1.0 (bottom to top) + + canvasX *= aspectRatio; + // if (row == 0) + // { + // console.log("canvasX is " + canvasX); + // } + + rayDirection.set(canvasX, canvasY, -1); + rayDirection.normalize(); + + gradientSkyColor.mix(fogColor, skyColor, rayDirection.y * 1.5); + + // Important: must reset nearestT for each pixel! + nearestT = Infinity; + + t = intersectSphere(spherePosition, sphereRadius, rayOrigin, rayDirection); + if (t < nearestT) + { + nearestT = t; + colorVector.copy(sphereColor); + } + + t = intersectPlane(planeOrigin, planeNormal, rayOrigin, rayDirection); + if (t < nearestT) + { + nearestT = t; + colorVector.mix(groundColor, gradientSkyColor, t * 0.008); + } + + if (nearestT == Infinity) + { + colorVector.copy(gradientSkyColor); + } + + colorVector.multiplyScalar(255); + colorVector.floor(); + + //"rgb(r,g,b)" + context.fillStyle = "rgb(" + colorVector.x + "," + colorVector.y + "," + colorVector.z + ")"; + context.fillRect(column, row, 1, 1); + } + ///console.log("canvasY is " + canvasY); + } +} // end function draw() + +// jumpstart the drawing of the screen +handleWindowResize(); diff --git a/Chapter_1/Episode_3/js/mathUtils.js b/Chapter_1/Episode_3/js/mathUtils.js new file mode 100644 index 0000000..a0dd1a7 --- /dev/null +++ b/Chapter_1/Episode_3/js/mathUtils.js @@ -0,0 +1,165 @@ +function Vector3(x = 0, y = 0, z = 0) +{ + this.x = x; + this.y = y; + this.z = z; + return this; +} + +Vector3.prototype.set = function(x, y, z) +{ + this.x = x; + this.y = y; + this.z = z; + return this; +}; + +Vector3.prototype.copy = function(otherVector) +{ + this.x = otherVector.x; + this.y = otherVector.y; + this.z = otherVector.z; + return this; +}; + +Vector3.prototype.add = function(otherVector) +{ + this.x += otherVector.x; + this.y += otherVector.y; + this.z += otherVector.z; + return this; +}; + +Vector3.prototype.subtract = function(otherVector) +{ + this.x -= otherVector.x; + this.y -= otherVector.y; + this.z -= otherVector.z; + return this; +}; + +Vector3.prototype.multiplyScalar = function(scalarNumber) +{ + this.x *= scalarNumber; + this.y *= scalarNumber; + this.z *= scalarNumber; + return this; +}; + +Vector3.prototype.floor = function() +{ + this.x = Math.floor(this.x); + this.y = Math.floor(this.y); + this.z = Math.floor(this.z); + return this; +}; + +Vector3.prototype.absolute = function() +{ + this.x = Math.abs(this.x); + this.y = Math.abs(this.y); + this.z = Math.abs(this.z); + return this; +}; + +Vector3.prototype.vectorLength = function() +{ + return Math.sqrt((this.x * this.x) + (this.y * this.y) + (this.z * this.z)); +}; + +let inverseLength = 0; +Vector3.prototype.normalize = function() +{ + inverseLength = 1 / this.vectorLength(); + this.x *= inverseLength; + this.y *= inverseLength; + this.z *= inverseLength; + return this; +}; + +Vector3.prototype.dot = function(otherVector) +{ + return (this.x * otherVector.x) + (this.y * otherVector.y) + (this.z * otherVector.z); +}; + +Vector3.prototype.mix = function(vectorA, vectorB, t) +{ + t = Math.min(t, 1); + t = Math.max(t, 0); + this.x = vectorA.x + (vectorB.x - vectorA.x) * t; + this.y = vectorA.y + (vectorB.y - vectorA.y) * t; + this.z = vectorA.z + (vectorB.z - vectorA.z) * t; + return this; +}; + + +let planeO_rayO_vec = new Vector3(); +let rayD_dot_planeN = 0; +let result = 0; + +function intersectPlane(planeOrigin, planeNormal, rayOrigin, rayDirection) +{ + rayD_dot_planeN = rayDirection.dot(planeNormal); + if (rayD_dot_planeN >= 0) + { + return Infinity; + } + + planeO_rayO_vec.copy(planeOrigin); + planeO_rayO_vec.subtract(rayOrigin); + result = planeO_rayO_vec.dot(planeNormal) / rayD_dot_planeN; + if (result > 0) + { + return result; + } + + return Infinity; +} + +let t0 = 0; +let t1 = 0; +let discriminant = 0; +let oneOver_2a = 0; + +function solveQuadratic(a, b, c) +{ + discriminant = (b * b) - (4 * a * c); + if (discriminant < 0) + { + return false; + } + discriminant = Math.sqrt(discriminant); + oneOver_2a = 1 / (2 * a); + t0 = (-b - discriminant) * oneOver_2a; + t1 = (-b + discriminant) * oneOver_2a; + return true; +} + +let L = new Vector3(); +// note: in the video for a, b, and c below, I put them all on one line, such as +// let a, b, c = 0; However, this does not initialize all three to 0 as I had thought. +let a = 0; +let b = 0; +let c = 0; + +function intersectSphere(spherePosition, sphereRadius, rayOrigin, rayDirection) +{ + L.copy(rayOrigin); + L.subtract(spherePosition); + a = rayDirection.dot(rayDirection); + b = 2 * L.dot(rayDirection); + c = L.dot(L) - (sphereRadius * sphereRadius); + if (solveQuadratic(a, b, c) == false) + { + return Infinity; + } + if (t0 > 0) + { + return t0; + } + else if (t1 > 0) + { + return t1; + } + return Infinity; +} \ No newline at end of file diff --git a/README.md b/README.md index 22dbac2..45f6052 100644 --- a/README.md +++ b/README.md @@ -51,3 +51,4 @@ So... * Episode 0: [Loop over all pixels and set their colors](https://erichlof.github.io/Joy-of-Ray-Tracing/Chapter_1/Episode_0/pixelLoop.html) - [video](https://youtu.be/bF9MbUKsrRY?list=PL3NuKUKozjGTJRKB4duG2dxpyUu_Pj7jV) * Episode 1: [Visualize Ray Directions as rgb colors](https://erichlof.github.io/Joy-of-Ray-Tracing/Chapter_1/Episode_1/rayDirections.html) - [video](https://youtu.be/gJ7SMXnVVvY) * Episode 2: [Ray Intersect Plane, Mix (blend) function](https://erichlof.github.io/Joy-of-Ray-Tracing/Chapter_1/Episode_2/intersectPlane.html) - [video](https://youtu.be/NTieRi0JD5g) +* Episode 3: [Ray Intersect Sphere](https://erichlof.github.io/Joy-of-Ray-Tracing/Chapter_1/Episode_3/intersectSphere.html) - [video](https://youtu.be/BLOnAegyFZE)

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