OpenGL ES GL_TRIANGLES gradient issue - opengl-es

I am trying to draw a area graph with a gradient. This is what I have right now.
If you look at the red-green graph, you will notice the gradient is does not look the way its supposed to.
EDIT: The gradient should be uniform like this:
I am using OpenGL ES 2.0 and GLKit to draw a bunch of charts. The chart is drawn using GL_TRIANGLES. I understand that the issue is that the gradient is being drawn for each triangle individually.
The only approach I can think of is to use a stencil buffer. I will draw the gradient in a big rectangle and clip it to this shape using the stencil. Is there a better way to do this? If not could you help me draw a stencil with specified points? I am new to OpenGL and not getting a good explanation on using stencil buffer.

You don't need a stencil buffer. I don't think more triangles will help, either — more likely that'd just cause you more confusion because you'd be assigning per-vertex colors to intermediate vertices and having to interpolate them yourself.
Your gradients are coming out that way because of how and where you assign vertex colors for interpolation. Notice the difference in colors between your output and the example of what you're looking for:
You've got 100% red at every vertex along the top edge of your graph, and 100% green at every vertex along the bottom edge. OpenGL interpolates colors linearly across the face of each triangle, which is why you've got more red in the shorter parts of your graph.
In the output you're looking for, the top of the graph starts out less red in the shorter parts, so that it makes a shorter transition to white in over shorter distance.
There are a few different ways to do this, but probably the easiest (for your plan of using GLKBaseEffect instead of writing your own shaders) might be to use a 1D texture for your gradient, and assign a texture coordinate to each vertex that's proportional to its Y coordinate on the graph, like so:
(The example coordinates in my diagram assume your graph vertices cover the range 0.0 to 1.0, but the point stands regardless: the vertical texture coordinate for each point should be a fraction of the graph's total height, between 0.0 and 1.0.)
Alternatively, you could look into drawing in two passes: First, draw the shape of your graph, then draw a quad (two triangles) covering the entire screen with your gradient, using the appropriate glBlendFunc so that it only draws over the area you've filled in with your graph shape.

OpenGL ES can do what you want but you need to increase the tessellation of your model. In other words, instead of using just a few large triangles, you need more and smaller triangles, with the vertex color changes spread over them evenly. This will give you better control over the gradients. Triangles are cheap on accelerated OpenGL ES, so even if you increase the number 100 times, it will not have much impact on performance.
You might also consider a different approach, where the entire graph is covered by a single texture which contains the gradient. That would be easier to implement.

Related

Fill area chart based on values in three.js

I created an area chart with three.js. Each datapoint creates two triangles, one from bottom to height of the value to the next value height, one to fill the gap. Pretty similiar to the work of gmarland at http://gmarland.github.io/mercer/ (which I found after creating it when researching for a solution for this question, hard luck...).
Not knowing of any option to fill the area with a gradient as a whole, I filled the single triangles with vertexColors. Works, but obviously low values have the same color-gradient as higher ones just at another scale. Creating a nice effect but not visualizing the actual data. So here is the challenge where I can't think of a nice solution yet:
I would like to fill the area with a gradient that reflects the values. I.e. from 0 (yellow) to 100 (blue) and if a value is in between it stops somewhere at orange.
If I'd apply that logic using vertexColors for my triangles, the single triangles would get visible, as they'd have different colors at different heights, so that's not an option.
Any chance to fill the whole mesh (so, area of the chart) with a gradient?
Example of a 2D chart with that "effect": http://users.infragistics.com/2013.2/Ignite/Chart-Gradient.jpg
By the sounds of this i think you want to use a texture. You can generate several THREE.DataTexture all of witdh 1 and height 100. Several to make things simple with filtering. Fill them up with your values and then map them to your triangles using some logic.
Either scaled by the max height of these graphs, or the entire graph (looks like the red represent the peak of the curve, not the ceiling of the graph).
This is very similar to what you are doing with vertex colors, but instead of vertex colors, you need to generate UVs. U can always be 0 for every vertex, V is just the height of the vertex, normalized.

Clipping non-projection elements (orthographic)

I'd like to add "flying" (3D) arcs to my orthographic projection, as shown here, but with clipping instead of the fade effect. This seems difficult since the arcs are created independently of the projection. (Each arc is defined by three points obtained from the projection--the start, end, and great circle midpoint extended along a line from the center of the canvas--but the arc itself is drawn using "2D" cardinal interpolation on the corresponding points on the svg canvas.)
My first thought was that I might need to do some spherical geometry to get the coordinates where the clipping happens, but now I'm wondering if there's a more straightforward way to accomplish this (I'm new to D3).
This is what my map looks like without clipping:
I'm also very green to d3, but fortunately I'm also fresh from my own search for a decent solution for clipping flight lines in orthographic. The demo you link to is clever in more ways than one:
The arc is drawn from three points interpolated with a Catmull-Rom curve in the projected 2D coordinates that happens to visually approximate a true circular curve in 3D nicely
The line fades with proximity of either of its points to the clipping plane, as you've pointed out
Drawing the spline in the projected, 2D coordinates eliminates any option to split the line before projection and get visual smoothness for cheap, even if d3 had the functionality natively (which I haven't been able to find anyways). That means that interpolation will have to be a lot more manual.
My first thought was that I might need to do some spherical geometry to get the coordinates where the clipping happens, but now I'm wondering if there's a more straightforward way to accomplish this
I eventually settled with what I consider the most obvious option, which unfortunately you're aiming precisely to avoid:
Obtain the coordinates of the clipping point by the cross product of the current globe center with the normal to the great circle plane of the arc. Given your origin and destination Po and Pd respectively and the globe center C, you're looking for C x (Po x Pd) normalized
Interpolate coordinates between your origin and destination using something like d3.geoInterpolate
Project interpolated point at the right scale (read: elevation) above the ground for that fraction of the flight line
Draw one [smoothed] line from the origin to the clipping point along the interpolated points in between, and another from the clipping point to the destination, moving one accordingly to the background. Watch the cases where the whole line is in front or behind the clipping plane.
To figure out where in the flight path you need to splice your clipped point, you will probably need to compare the great angles of your clipping point to one end vs. end-to-end. Note also that performance takes a hit, but you may still be satisfied with the number of flight lines you've drawn in your example.

Tiled Terrain Normals

I am trying to create a terrain solution in ThreeJS and I'm running into some trouble with the generation of the normals. I am approaching the problem by creating a number of mesh objects using the THREE.PlaneGeometry class. Once all of the tiles have been created I go through each and set the UV's so that each tile represents a part of the whole. I also generate a height value of the vertex Y positions to create some hills. I then call the geometry functions
geometry.computeFaceNormals();
geometry.computeVertexNormals();
This is just so that I have some default face and vertex normals for each tile.
I then go through each tile and try to average out the normals on each corner.
The problem is (I think) with the normals, but I don't really know what to call this problem. Each of the normals on the plane's corners point in the same direction as the face when created. This makes the terrain look like a flat shaded object. To prevent this I thought perhaps what I needed to do was make sure each vertext normal (each corner) had the same averaged normal as its immediate neighbours normals. I.E each corner of each tile has the same normal as all the immediate normals around it from the adjacent planes.
figure A
Here I am visualising each of the 4 normals on the mesh. You can see that at each corner the normals are the same (On top of eachother)
figure B
EDIT
figure C
EDIT
Figure D
Except even when the verts all share the same normals it still comes up all blocky <:/
I don't know how to do this... I think my understanding of what needs to be done is incorrect...?
Any help would be greatly appreciated.
You're basically right about what should happen. The shading you're getting is not consistent with continuous normals. If each all the vertex-faces at a given location have the same normal you should not see the clear shading discontinuities in your second image. However the image doesn't look like simple face normals either, at least not to my eye.
A couple of things to look at:
1) I note that your quads themselves are not planar. Is it possible your algorithm is assuming that they are? the non-planar quad meshes don't have real 'face normal' to use as a base.
2) Are your normalized normalized after you average them? That is, do they have a vector length of 1?
3) Are you confident that the normal averaging code is actually using the correct normals to average? The shading in this does not look like completely flat shaded image where each vertex-face normal in a quad is the same - if that were the case you'd get consistent shading across each quad although the quads would not be continuous. This it possible your original vertex-face normals are not in fact lined up with the face normals?
4) Try turning off the bump maps to debug. Depending on how the bump is being done in your shader you may have incorrect binormals/bitangents rather than bad vert normals.
Instead of averaging at each vertex / corner the neighborhood normals you should average the four normals that each vertex has (4 tiles meet at each vertex).

2D geometry outline shader

I want to create a shader to outline 2D geometry. I'm using OpenGL ES2.0. I don't want to use a convolution filter, as the outline is not dependent on the texture, and it is too slow (I tried rendering the textured geometry to another texture, and then drawing that with the convolution shader). I've also tried doing 2 passes, the first being single colorded overscaled geometry to represent an oultine, and then normal drawing on top, but this results in different thicknesses or unaligned outlines. I've looking into how silhouette's in cel-shading are done but they are all calculated using normals and lights, which I don't use at all.
I'm using Box2D for physics, and have "destructable" objects with multiple fixtures. At any point an object can be broken down (fixtures deleted), and I want to the outline to follow the new outter counter.
I'm doing the drawing with a vertex buffer that matches the vertices of the fixtures, preset texture coordinates, and indices to draw triangles. When a fixture is removed, it's associated indices in the index buffer are set to 0, so no triangles are drawn there anymore.
The following image shows what this looks like for one object when it is fully intact.
The red points are the vertex positions (texturing isn't shown), the black lines are the fixtures, and the blue lines show the seperation of how the triangles are drawn. The gray outline is what I would like the outline to look like in any case.
This image shows the same object with a few fixtures removed.
Is this possible to do this in a vertex shader (or in combination with other simple methods)? Any help would be appreciated.
Thanks :)
Assuming you're able to do something about those awkward points that are slightly inset from the corners (eg, if you numbered the points in English-reading order, with the first being '1', point 6 would be one)...
If a point is interior then if you list all the polygon edges connected to it in clockwise order, each pair of edges in sequence will have a polygon in common. If any two edges don't have a polygon in common then it's an exterior point.
Starting from any exterior point you can then get the whole outline by first walking in any direction and subsequently along any edge that connects to an exterior point you haven't visited yet (or, alternatively, that isn't the edge you walked along just now).
Starting from an existing outline and removing some parts, you can obviously start from either exterior point that used to connect to another but no longer does and just walk from there until you get to the other.
You can't handle this stuff in a shader under ES because you don't get connectivity information.
I think the best you could do in a shader is to expand the geometry by pushing vertices outward along their surface normals. Supposing that your data structure is a list of rectangles, each described by, say, a centre, a width and a height, you could achieve the same thing by drawing each with the same centre but with a small amount added to the width and height.
To be completely general you'd need to store normals at vertices, but also to update them as geometry is removed. So there'd be some pushing of new information from the CPU but it'd be relatively limited.

OBJ format and Flat vs Smooth Shading

I'm using OpenGL ES 1.1 and working on converting an OBJ export from Blender into some binary files containing vertex data. I actually already have a working tool, but I'm working on changing some things and came across a question.
Even with Smooth shading, it seems that with correct normals (perpendicular to the face plane) it achieves a flat appearance for faces. With Smooth shading enabled and the proper normals (simply via edges marked as sharp in Blender and an edge-split modifier applied), I can get the affect of smooth parts and sharp edges.
Where I'm going with this brings 2 questions.
Are the "s 1" or "s off" lines where smooth or flat shading is denoted in the OBJ file completely unnecessary from a smooth shading and use of normals standpoint?
When actually set to Flat shading in OpenGL, are normals completely ignored (or just assumed to all be perpendicular to the faces)?
For a vertex to look smooth, its normal has to be the average of the adjacent face normals (or something the like), but not perpendicular to the face plane (except if you meaned the average plane of all its adjacent faces).
GL_FLAT means, the color of a face is not interpolated over the triangle, but taken from a single triangle corner (don't know which, first or last). This color comes either from vertex colors or vertex lighting, so in fact you get per-face normals, but this is not neccessarily the faces direction, but the normal of a corner vertex.
If you got per vertex normals in the OBJ file you do not need the s parts. But you can use these to compute vertex normals. The s parts are the smoothing groups and are to be interpreted as 32bit bitfields. So there are actually 32 different smoothing groups and every face can be part of more than one. So all faces after an "s 5" line are part of smoothing groups 1 and 3 (first and third bits set). When two neighbouring faces are part of the same smoothing group, the edge between them is smooth (vertices share normals). This way you can reconstruct the neccessary per-vertex normals.
Changing the mode between gl_flat and gl_smooth doesn't seem to affect my rendering when I'm using per vertex normals. Your problem from what I can tell is that each face only has one normal. For smooth shading, each face should have three normals, one for each vertex, and they should all be different. For example, the normals of a cylinder, if projected inside of the cylinder, should all intersect at the axis of the cylinder. If your model has smooth normals, then an OBJ export should export per vertex normals. It sounds like you are probably assigning per face normals. As far as rendering in OpenGL-ES, the smoothing groups aren't used, only normals.

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