Directional shadow mapping in deferred shading - opengl

I'm implementing directional shadow mapping in deferred shading.
First, I render a depth map from light view (orthogonal projection).
Result:
I intend to do VSM so above buffer is R32G32 storing depth and depth * depth.
Then for a full-screen shading pass for shadow (after a lighting pass), I write the following pixel shader:
#version 330
in vec2 texCoord; // screen coordinate
out vec3 fragColor; // output color on the screen
uniform mat4 lightViewProjMat; // lightView * lightProjection (ortho)
uniform sampler2D sceneTexture; // lit scene with one directional light
uniform sampler2D shadowMapTexture;
uniform sampler2D scenePosTexture; // store fragment's 3D position
void main() {
vec3 fragPos = texture(scenePosTexture, texCoord).xyz; // get 3D position of pixel
vec4 fragPosLightSpace = lightViewProjMat * vec4(fragPos, 1.0); // project it to light-space view: lightView * lightProjection
// projective texture mapping
vec3 coord = fragPosLightSpace.xyz / fragPosLightSpace.w;
coord = coord * 0.5 + 0.5;
float lightViewDepth; // depth value in the depth buffer - the maximum depth that light can see
float currentDepth; // depth of screen pixel, maybe not visible to the light, that's how shadow mapping works
vec2 moments; // depth and depth * depth for later variance shadow mapping
moments = texture(shadowMapTexture, coord.xy).xy;
lightViewDepth = moments.x;
currentDepth = fragPosLightSpace.z;
float lit_factor = 0;
if (currentDepth <= lightViewDepth)
lit_factor = 1; // pixel is visible to the light
else
lit_factor = 0; // the light doesn't see this pixel
// I don't do VSM yet, just want to see black or full-color pixels
fragColor = texture(sceneTexture, texCoord).rgb * lit_factor;
}
The rendered result is a black screen, but if I hard coded the lit_factor to be 1, result is:
Basically that's how the sceneTexture looks like.
So I think either my depth value is wrong, which is unlikely, or my projection (light space projection in above shader / projective texture mapping) is wrong. Could you validate it for me?
My shadow map generation code is:
// vertex shader
#version 330 compatibility
uniform mat4 lightViewMat; // lightView
uniform mat4 lightViewProjMat; // lightView * lightProj
in vec3 in_vertex;
out float depth;
void main() {
vec4 vert = vec4(in_vertex, 1.0);
depth = (lightViewMat * vert).z / (500 * 0.2); // 500 is far value, this line tunes the depth precision
gl_Position = lightViewProjMat * vert;
}
// pixel shader
#version 330
in float depth;
out vec2 out_depth;
void main() {
out_depth = vec2(depth, depth * depth);
}

The z component of the fragment shader built in variable gl_FragCoord contains the depth value in range [0.0, 1.0]. This is the value which you shoud store to the depth map:
out_depth = vec2(gl_FragCoord.z, depth * depth);
After the calculation
vec3 fragPos = texture(scenePosTexture, texCoord).xyz; // get 3D position of pixel
vec4 fragPosLightSpace = lightViewProjMat * vec4(fragPos, 1.0); // project it to light-space view: lightView * lightProjection
vec3 ndc_coord = fragPosLightSpace.xyz / fragPosLightSpace.w;
the variable ndc_coord contains a normalized device coordinate, where all components are in range [-1.0, 1.0].
The z component of the normalized device coordiante can be conveted to the depth value (if the depth range is [0.0, 1.0]), by
float currentDepth = ndc_coord.z * 0.5 + 0.5;
This value can be compared to the value from the depth map, because currentDepth and lightViewDepth are calcualted by the same view matrix and projection matrix:
moments = texture(shadowMapTexture, coord.xy).xy;
lightViewDepth = moments.x;
if (currentDepth <= lightViewDepth)
lit_factor = 1; // pixel is visible to the light
else
lit_factor = 0; // the light doesn't see this pixel

This is the depth you store in the shadow map:
depth = (lightViewMat * vert).z / (500 * 0.2);
This is the depth you compare the read back value to:
vec4 fragPosLightSpace = lightViewProjMat * vec4(fragPos, 1.0);
currentDepth = fragPosLightSpace.z;
If fragPos is in world space then I assume lightViewMat * vert == fragPos. You are compressing depth by dividing by 500 * 0.2, but that does not equal to fragPosLightSpace.z.
Hint: Write out the value of currentDepth in one channel and the value from the shadow map in another channel, you can then compare them visually or in RenderDoc or similar.

Related

GLSL: Fade 2D grid based on distance from camera

I am currently trying to draw a 2D grid on a single quad using only shaders. I am using SFML as the graphics library and sf::View to control the camera. So far I have been able to draw an anti-aliased multi level grid. The first level (blue) outlines a chunk and the second level (grey) outlines the tiles within a chunk.
I would now like to fade grid levels based on the distance from the camera. For example, the chunk grid should fade in as the camera zooms in. The same should be done for the tile grid after the chunk grid has been completely faded in.
I am not sure how this could be implemented as I am still new to OpenGL and GLSL. If anybody has any pointers on how this functionality can be implemented, please let me know.
Vertex Shader
#version 130
out vec2 texCoords;
void main() {
gl_Position = gl_ModelViewProjectionMatrix * gl_Vertex;
texCoords = (gl_TextureMatrix[0] * gl_MultiTexCoord0).xy;
}
Fragment Shader
#version 130
uniform vec2 chunkSize = vec2(64.0, 64.0);
uniform vec2 tileSize = vec2(16.0, 16.0);
uniform vec3 chunkBorderColor = vec3(0.0, 0.0, 1.0);
uniform vec3 tileBorderColor = vec3(0.5, 0.5, 0.5);
uniform bool drawGrid = true;
in vec2 texCoords;
void main() {
vec2 uv = texCoords.xy * chunkSize;
vec3 color = vec3(1.0, 1.0, 1.0);
if(drawGrid) {
float aa = length(fwidth(uv));
vec2 halfChunkSize = chunkSize / 2.0;
vec2 halfTileSize = tileSize / 2.0;
vec2 a = abs(mod(uv - halfChunkSize, chunkSize) - halfChunkSize);
vec2 b = abs(mod(uv - halfTileSize, tileSize) - halfTileSize);
color = mix(
color,
tileBorderColor,
smoothstep(aa, .0, min(b.x, b.y))
);
color = mix(
color,
chunkBorderColor,
smoothstep(aa, .0, min(a.x, a.y))
);
}
gl_FragColor.rgb = color;
gl_FragColor.a = 1.0;
}
You need to split your multiplication in the vertex shader to two parts:
// have a variable to be interpolated per fragment
out vec2 vertex_coordinate;
...
{
// this will store the coordinates of the vertex
// before its projected (i.e. its "world" coordinates)
vertex_coordinate = gl_ModelViewMatrix * gl_Vertex;
// get your projected vertex position as before
gl_Position = gl_ProjectionMatrix * vertex_coordinate;
...
}
Then in the fragment shader you change the color based on the world vertex coordinate and the camera position:
in vec2 vertex_coordinate;
// have to update this value, every time your camera changes its position
uniform vec2 camera_world_position = vec2(64.0, 64.0);
...
{
...
// calculate the distance from the fragment in world coordinates to the camera
float fade_factor = length(camera_world_position - vertex_coordinate);
// make it to be 1 near the camera and 0 if its more then 100 units.
fade_factor = clamp(1.0 - fade_factor / 100.0, 0.0, 1.0);
// update your final color with this factor
gl_FragColor.rgb = color * fade_factor;
...
}
The second way to do it is to use the projected coordinate's w. I personally prefer to calculate the distance in units of space. I did not test this code, it might have some trivial syntax errors, but if you understand the idea, you can apply it in any other way.

OpenGL Deferred Pixelated Lighting

I'm working on a 3-pass deferred lighting system for a voxel game, however I am having problems with pixelated lighting and ambient occlusion.
The first stage renders the color, position and normal of each pixel on the screen into separate textures. This part works correctly:
The second shader calculates an ambient occlusion value for each pixel on the screen and renders that to a texture. This part doesn't work correctly and is pixelated:
Raw occlusion data:
The third shader uses the color, position, normal and occlusion textures to render the game scene onto the screen. The lighting in this stage is also pixelated:
The SSAO (2nd pass) fragment shader comes from the www.LearnOpenGL.com tutorial for Screen Space Ambient Occlusion:
out float FragColor;
layout (binding = 0) uniform sampler2D gPosition; // World space position
layout (binding = 1) uniform sampler2D gNormal; // Normalised normal values
layout (binding = 2) uniform sampler2D texNoise;
uniform vec3 samples[64]; // 64 random precalculated vectors (-0.1 to 0.1 magnitude)
uniform mat4 projection;
float kernelSize = 64;
float radius = 1.5;
in vec2 TexCoords;
const vec2 noiseScale = vec2(1600.0/4.0, 900.0/4.0);
void main()
{
vec4 n = texture(gNormal, TexCoords);
// The alpha value of the normal is used to determine whether to apply SSAO to this pixel
if (int(n.a) > 0)
{
vec3 normal = normalize(n.rgb);
vec3 fragPos = texture(gPosition, TexCoords).xyz;
vec3 randomVec = normalize(texture(texNoise, TexCoords * noiseScale).xyz);
// Some maths. I don't understand this bit, it's from www.learnopengl.com
vec3 tangent = normalize(randomVec - normal * dot(randomVec, normal));
vec3 bitangent = cross(normal, tangent);
mat3 TBN = mat3(tangent, bitangent, normal);
float occlusion = 0.0;
// Test 64 points around the pixel
for (int i = 0; i < kernelSize; i++)
{
vec3 sam = fragPos + TBN * samples[i] * radius;
vec4 offset = projection * vec4(sam, 1.0);
offset.xyz = (offset.xyz / offset.w) * 0.5 + 0.5;
// If the normal's are different, increase the occlusion value
float l = length(normal - texture(gNormal, offset.xy).rgb);
occlusion += l * 0.3;
}
occlusion = 1 - (occlusion / kernelSize);
FragColor = occlusion;
}
}
The lighting and final fragment shader:
out vec4 FragColor;
in vec2 texCoords;
layout (binding = 0) uniform sampler2D gColor; // Colour of each pixel
layout (binding = 1) uniform sampler2D gPosition; // World-space position of each pixel
layout (binding = 2) uniform sampler2D gNormal; // Normalised normal of each pixel
layout (binding = 3) uniform sampler2D gSSAO; // Red channel contains occlusion value of each pixel
// Each of these textures are 300 wide and 2 tall.
// The first row contains light positions. The second row contains light colours.
uniform sampler2D playerLightData; // Directional lights
uniform sampler2D mapLightData; // Spherical lights
uniform float worldBrightness;
// Amount of player and map lights
uniform float playerLights;
uniform float mapLights;
void main()
{
vec4 n = texture(gNormal, texCoords);
// BlockData: a = 4
// ModelData: a = 2
// SkyboxData: a = 0;
// Don't do lighting calculations on the skybox
if (int(n.a) > 0)
{
vec3 Normal = n.rgb;
vec3 FragPos = texture(gPosition, texCoords).rgb;
vec3 Albedo = texture(gColor, texCoords).rgb;
vec3 lighting = Albedo * worldBrightness * texture(gSSAO, texCoords).r;
for (int i = 0; i < playerLights; i++)
{
vec3 pos = texelFetch(playerLightData, ivec2(i, 0), 0).rgb;
vec3 direction = pos - FragPos;
float l = length(direction);
if (l < 40)
{
// Direction of the light to the position
vec3 spotDir = normalize(direction);
// Angle of the cone of the light
float angle = dot(spotDir, -normalize(texelFetch(playerLightData, ivec2(i, 1), 0).rgb));
// Crop the cone
if (angle >= 0.95)
{
float fade = (angle - 0.95) * 40;
lighting += (40.0 - l) / 40.0 * max(dot(Normal, spotDir), 0.0) * Albedo * fade;
}
}
}
for (int i = 0; i < mapLights; i++)
{
// Compare this pixel's position with the light's position
vec3 difference = texelFetch(mapLightData, ivec2(i, 0), 0).rgb - FragPos;
float l = length(difference);
if (l < 7.0)
{
lighting += (7.0 - l) / 7.0 * max(dot(Normal, normalize(difference)), 0.0) * Albedo * texelFetch(mapLightData, ivec2(i, 1), 0).rgb;
}
}
FragColor = vec4(lighting, 1.0);
}
else
{
FragColor = vec4(texture(gColor, texCoords).rgb, 1.0);
}
}
The size of each block face in the game is 1x1 (world space size). I have tried splitting these faces up into smaller triangles, as illustrated below, however there wasn't much visible difference.
How can I increase the resolution of the lighting and SSAO data to reduce these pixelated artifacts? Thank you in advance
Good news! Thanks to some_rand over at the GameDev stack exchange, I was able to fix this by upgrading the resolution of my position buffer from GL_RGBA16F to GL_RGBA32F.
Here is his answer.

OpenGL Computing Normals and TBN Matrix from Depth Buffer (SSAO implementation)

I'm implementing SSAO in OpenGL, following this tutorial: Jhon Chapman SSAO
Basically the technique described uses an Hemispheric kernel which is oriented along the fragment's normal. The view space z position of the sample is then compared to its screen space depth buffer value.
If the value in the depth buffer is higher, it means the sample ended up in a geometry so this fragment should be occluded.
The goal of this technique is to get rid of the classic implementation artifact where objects flat faces are greyed out.
I've have the same implementation with 2 small differencies
I'm not using a Noise texture to rotate my kernel, so I have banding artifacts, that's fine for now
I don't have access to a buffer with Per-pixel normals, so I have to compute my normal and TBN matrix only using the depth buffer.
The algorithm seems to be working fine, I can see the fragments being occluded, BUT I still have my faces greyed out...
IMO it's coming from the way I'm calculating my TBN matrix. The normals look OK but something must be wrong as my kernel doesn't seem to be properly aligned causing samples to end up in the faces.
Screenshots are with a Kernel of 8 samples and a radius of .1. the first is only the result of SSAO pass and the second one is the debug render of the generated normals.
Here is the code for the function that computes the Normal and TBN Matrix
mat3 computeTBNMatrixFromDepth(in sampler2D depthTex, in vec2 uv)
{
// Compute the normal and TBN matrix
float ld = -getLinearDepth(depthTex, uv);
vec3 x = vec3(uv.x, 0., ld);
vec3 y = vec3(0., uv.y, ld);
x = dFdx(x);
y = dFdy(y);
x = normalize(x);
y = normalize(y);
vec3 normal = normalize(cross(x, y));
return mat3(x, y, normal);
}
And the SSAO shader
#include "helper.glsl"
in vec2 vertTexcoord;
uniform sampler2D depthTex;
const int MAX_KERNEL_SIZE = 8;
uniform vec4 gKernel[MAX_KERNEL_SIZE];
// Kernel Radius in view space (meters)
const float KERNEL_RADIUS = .1;
uniform mat4 cameraProjectionMatrix;
uniform mat4 cameraProjectionMatrixInverse;
out vec4 FragColor;
void main()
{
// Get the current depth of the current pixel from the depth buffer (stored in the red channel)
float originDepth = texture(depthTex, vertTexcoord).r;
// Debug linear depth. Depth buffer is in the range [1.0];
float oLinearDepth = getLinearDepth(depthTex, vertTexcoord);
// Compute the view space position of this point from its depth value
vec4 viewport = vec4(0,0,1,1);
vec3 originPosition = getViewSpaceFromWindow(cameraProjectionMatrix, cameraProjectionMatrixInverse, viewport, vertTexcoord, originDepth);
mat3 lookAt = computeTBNMatrixFromDepth(depthTex, vertTexcoord);
vec3 normal = lookAt[2];
float occlusion = 0.;
for (int i=0; i<MAX_KERNEL_SIZE; i++)
{
// We align the Kernel Hemisphere on the fragment normal by multiplying all samples by the TBN
vec3 samplePosition = lookAt * gKernel[i].xyz;
// We want the sample position in View Space and we scale it with the kernel radius
samplePosition = originPosition + samplePosition * KERNEL_RADIUS;
// Now we need to get sample position in screen space
vec4 sampleOffset = vec4(samplePosition.xyz, 1.0);
sampleOffset = cameraProjectionMatrix * sampleOffset;
sampleOffset.xyz /= sampleOffset.w;
// Now to get the depth buffer value at the projected sample position
sampleOffset.xyz = sampleOffset.xyz * 0.5 + 0.5;
// Now can get the linear depth of the sample
float sampleOffsetLinearDepth = -getLinearDepth(depthTex, sampleOffset.xy);
// Now we need to do a range check to make sure that object
// outside of the kernel radius are not taken into account
float rangeCheck = abs(originPosition.z - sampleOffsetLinearDepth) < KERNEL_RADIUS ? 1.0 : 0.0;
// If the fragment depth is in front so it's occluding
occlusion += (sampleOffsetLinearDepth >= samplePosition.z ? 1.0 : 0.0) * rangeCheck;
}
occlusion = 1.0 - (occlusion / MAX_KERNEL_SIZE);
FragColor = vec4(vec3(occlusion), 1.0);
}
Update 1
This variation of the TBN calculation function gives the same results
mat3 computeTBNMatrixFromDepth(in sampler2D depthTex, in vec2 uv)
{
// Compute the normal and TBN matrix
float ld = -getLinearDepth(depthTex, uv);
vec3 a = vec3(uv, ld);
vec3 x = vec3(uv.x + dFdx(uv.x), uv.y, ld + dFdx(ld));
vec3 y = vec3(uv.x, uv.y + dFdy(uv.y), ld + dFdy(ld));
//x = dFdx(x);
//y = dFdy(y);
//x = normalize(x);
//y = normalize(y);
vec3 normal = normalize(cross(x - a, y - a));
vec3 first_axis = cross(normal, vec3(1.0f, 0.0f, 0.0f));
vec3 second_axis = cross(first_axis, normal);
return mat3(normalize(first_axis), normalize(second_axis), normal);
}
I think the problem is probably that you are mixing coordinate systems. You are using texture coordinates in combination with the linear depth. You can imagine two vertical surfaces facing slightly to the left of the screen. Both have the same angle from the vertical plane and should thus have the same normal right?
But let's then imagine that one of these surfaces are much further from the camera. Since fFdx/fFdy functions basically tell you the difference from the neighbor pixel, the surface far away from the camera will have greater linear depth difference over one pixel, than the surface close to the camera. But the uv.x / uv.y derivative will have the same value. That means that you will get different normals depending on the distance from the camera.
The solution is to calculate the view coordinate and use the derivative of that to calculate the normal.
vec3 viewFromDepth(in sampler2D depthTex, in vec2 uv, in vec3 view)
{
float ld = -getLinearDepth(depthTex, uv);
/// I assume ld is negative for fragments in front of the camera
/// not sure how getLinearDepth is implemented
vec3 z_scaled_view = (view / view.z) * ld;
return z_scaled_view;
}
mat3 computeTBNMatrixFromDepth(in sampler2D depthTex, in vec2 uv, in vec3 view)
{
vec3 view = viewFromDepth(depthTex, uv);
vec3 view_normal = normalize(cross(dFdx(view), dFdy(view)));
vec3 first_axis = cross(view_normal, vec3(1.0f, 0.0f, 0.0f));
vec3 second_axis = cross(first_axis, view_normal);
return mat3(view_normal, normalize(first_axis), normalize(second_axis));
}

SSAO not displaying correct results, mostly no visible occlusion

I'm following the tutorial by John Chapman (http://john-chapman-graphics.blogspot.nl/2013/01/ssao-tutorial.html) to implement SSAO in a deferred renderer. The input buffers to the SSAO shaders are:
World-space positions with linearized depth as w-component.
World-space normal vectors
Noise 4x4 texture
I'll first list the complete shader and then briefly walk through the steps:
#version 330 core
in VS_OUT {
vec2 TexCoords;
} fs_in;
uniform sampler2D texPosDepth;
uniform sampler2D texNormalSpec;
uniform sampler2D texNoise;
uniform vec3 samples[64];
uniform mat4 projection;
uniform mat4 view;
uniform mat3 viewNormal; // transpose(inverse(mat3(view)))
const vec2 noiseScale = vec2(800.0f/4.0f, 600.0f/4.0f);
const float radius = 5.0;
void main( void )
{
float linearDepth = texture(texPosDepth, fs_in.TexCoords).w;
// Fragment's view space position and normal
vec3 fragPos_World = texture(texPosDepth, fs_in.TexCoords).xyz;
vec3 origin = vec3(view * vec4(fragPos_World, 1.0));
vec3 normal = texture(texNormalSpec, fs_in.TexCoords).xyz;
normal = normalize(normal * 2.0 - 1.0);
normal = normalize(viewNormal * normal); // Normal from world to view-space
// Use change-of-basis matrix to reorient sample kernel around origin's normal
vec3 rvec = texture(texNoise, fs_in.TexCoords * noiseScale).xyz;
vec3 tangent = normalize(rvec - normal * dot(rvec, normal));
vec3 bitangent = cross(normal, tangent);
mat3 tbn = mat3(tangent, bitangent, normal);
// Loop through the sample kernel
float occlusion = 0.0;
for(int i = 0; i < 64; ++i)
{
// get sample position
vec3 sample = tbn * samples[i]; // From tangent to view-space
sample = sample * radius + origin;
// project sample position (to sample texture) (to get position on screen/texture)
vec4 offset = vec4(sample, 1.0);
offset = projection * offset;
offset.xy /= offset.w;
offset.xy = offset.xy * 0.5 + 0.5;
// get sample depth
float sampleDepth = texture(texPosDepth, offset.xy).w;
// range check & accumulate
// float rangeCheck = abs(origin.z - sampleDepth) < radius ? 1.0 : 0.0;
occlusion += (sampleDepth <= sample.z ? 1.0 : 0.0);
}
occlusion = 1.0 - (occlusion / 64.0f);
gl_FragColor = vec4(vec3(occlusion), 1.0);
}
The result is however not pleasing. The occlusion buffer is mostly all white and doesn't show any occlusion. However, if I move really close to an object I can see some weird noise-like results as you can see below:
This is obviously not correct. I've done a fair share of debugging and believe all the relevant variables are correctly passed around (they all visualize as colors). I do the calculations in view-space.
I'll briefly walk through the steps (and choices) I've taken in case any of you figure something goes wrong in one of the steps.
view-space positions/normals
John Chapman retrieves the view-space position using a view ray and a linearized depth value. Since I use a deferred renderer that already has the world-space positions per fragment I simply take those and multiply them with the view matrix to get them to view-space.
I take a similar approach for the normal vectors. I take the world-space normal vectors from a buffer texture, transform them to [-1,1] range and multiply them with transpose(inverse(mat3(..))) of view matrix.
The view-space position and normals are visualized as below:
This looks correct to me.
Orient hemisphere around normal
The steps to create the tbn matrix are the same as described in John Chapman's tutorial. I create the noise texture as follows:
std::vector<glm::vec3> ssaoNoise;
for (GLuint i = 0; i < noise_size; i++)
{
glm::vec3 noise(randomFloats(generator) * 2.0 - 1.0, randomFloats(generator) * 2.0 - 1.0, 0.0f);
noise = glm::normalize(noise);
ssaoNoise.push_back(noise);
}
...
glTexImage2D(GL_TEXTURE_2D, 0, GL_RGB16F, 4, 4, 0, GL_RGB, GL_FLOAT, &ssaoNoise[0]);
I can visualize the noise in the fragment shader so that seems to work.
sample depths
I transform all samples from tangent to view-space (samples are random between [-1,1] on xy axis and [0,1] on z-axis and translate them to fragment's current view-space position (origin).
I then sample from linearized depth buffer (which I visualize below when looking close to an object):
and finally compare sampled depth values to current fragment's depth value and add occlusion values. Note that I do not perform a range-check since I don't believe that is the cause of this behavior and I'd rather keep it as minimal as possible for now.
I don't know what is causing this behavior. I believe it is somewhere in sampling the depth values. As far as I can tell I am working in the right coordinate system, linearized depth values are in view-space as well and all variables are set somewhat properly.

Elliptical gradient rotation in GLSL

I implemented basic elliptical gradient in GLSL and it is working fine. However I failed rotating the gradient. My code is below:
vertex shader
uniform mat4 camera;
uniform mat4 model;
in vec3 vert; // coordinates of vertex
in vec2 vertTexCoord; //pseudo texture coordinates, used for calculating relative fragment position
out vec2 fragTexCoord;
void main() {
fragTexCoord = vertTexCoord; //pass to fragment shader
gl_Position = camera * model * vec4(vert, 1); //apply transformations
}
fragment shader
uniform vec2 gradientCenter; //center of gradient
uniform vec2 gradientDimensions; //how far gradient goes in right and up direction respectively
uniform vec2 gradientDirection; //rotation of gradient, not used..yet
in vec2 fragTexCoord;
out vec4 finalColor;
void main() {
vec2 gradient = gradientCenter - fragTexCoord; //gradient itself
gradient.x = gradient.x * (1.0 / gradientDimensions.x); //relative scale on right direction, currently X axis
gradient.y = gradient.y * (1.0 / gradientDimensions.y); //relative scale on up direction, currently Y axis
float distanceFromLight = length(gradient); //lenght determines output color
finalColor = mix(vec4(1.0, 0.0, 0.0, 1.0), vec4(0.0, 0.0, 1.0, 1.0), distanceFromLight * 2); //mixing red and blue, placeholder colors
}
to better illustrate, in the upper picture is what I have and is working, in the lower picture what is my goal. How to improve my code to allow elliptical gradient manipulation as shown on lower picture?
I assume that gradientDirection is the normalized direction of the first principal axis. Then you can calculate the coordinates in the local system with the dot product:
vec2 secondaryPrincipal = vec2(gradientDirection.y, -gradientDirection.x);
vec2 gradient = gradientCenter - fragTexCoord; //gradient itself
vec2 localGradient(dot(gradient, gradientDirection) * (1.0 / gradientDimensions.x),
dot(gradient, secondaryPrincipal) * (1.0 / gradientDimensions.y));
float distanceFromLight = length(localGradient);
//...