# Questions tagged [2d]

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### World coordinates, Normalised device coordinates and device coordinates

Can I get to know the difference between the three? A good example would add up too.
• 343
694 views

### How to produce simple 2D illustrations to accompany geometry answers?

In my answer about Affine Transformations I made some little illustrations to help the explanation. How do you make an upload-able PNG quickly which expresses a geometrical or mathematical idea? ...
• 1,378
2k views

### Hardware-accelerated drawing of curved shapes

How to quickly draw a curved shape? by "quickly" I presume one should use hardware facilities as much as possible by "curved" I mean boundaries defined by either quadratic or cubic Bezier curves by "...
• 1,459
356 views

### Choosing width of data for signed distance field texture

A signed distance field texture is a technique where you store the distance from a pixel to the surface of a shape within the color information for that pixel, allowing almost vector graphics quality ...
• 7,801
2k views

### Fundamentally, how are 2D bitmaps rendered?

Suppose we have a 64-bit word-addressable computer and we want to program it to output a 5x7 character stored as a binary image bitmap (such as the one below) to a memory-mapped display. Since we ...
• 101
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• 211
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### Calculate the position and rotation needed to have a camera look at a certain region

I have a 2D region defined by 4 points in 3D space. I want to position my camera so that it looks at the region, with a settable variable determining which side it looks at, where looks at means that ...
113 views

### Constraining a Polyline to Look Smooth

What are the mathematical constraints required for a polyline, i.e., a piecewise linear curve, to appear as a smooth curve to human vision? I've discovered one document that specifies only that the ...
1 vote
109 views

### Area-light approximation in 2D

I’m trying to render a 2D image something like this: …where an arbitrary shape has its border illuminated by a line in a relatively physically accurate way, i.e. with less illumination reaching the ...
• 2,222
1 vote
8k views

### What is the difference between world coordinate, viewing coordinate and device coordinate in computer graphics?

The 2D pipeline involves with the construction of world coordinate scene followed by converting world coordinate to viewing coordinate, then transforming viewing coordinate to normalized coordinate ...
• 115
1 vote
79 views

### Linear independence of three points

What is the best way to prove if three points are linear dependent? This is my current way to do it: \mathbf{v_a} = \mathbf{b}-\mathbf{a} \\ \mathbf{v_b} = \mathbf{c}-\mathbf{a} \\ \mathbf{v_c} = \...
• 105
1 vote
583 views

### How do I extrude a 2D Bezier curve representation into a 3D solid using Python?

Where P is the control point, w is weight. I plan to extrude this 2d representation into 3d. I have a discrete 2D representation (array which has [n_points, 2, 1] for each sample) of an airfoil that ...
• 13
1 vote
2k views

### Rotating a Bitmap

I would like to rotate an bitmap image using math. I have two issues with my current implementation: the pixel-by-pixel rotation of the copied bitmap is extremely slow and it is leaving gaps between ...
1 vote
46 views

### Given a composited image, is it possible to find the color and opacity of an overlaid shape?

I have an image that I'm trying to recreate programatically using Pyx in Python. It seems that there's an overlaid circle covering the color wheel. I'm trying to see if there's a way to, given the ...
• 111
1 vote
184 views

### What does an algorithm which handles mesh-based image morphing look like?

In recent years, the technology of Live2D has become particularly popular and I have been attempting to find any papers or articles which explain what the mathematics for the mesh-based image morphing ...
1 vote
58 views

### projecting 3d onto 2d plane is not showing up correctly

I am trying to learn about 3d graphics from first principles, so i have decided to implement a simple thing, create a circle in 3d space & rotate it along some axis. I understand the basics theory....
• 123
1 vote
137 views

### What graphic languages are simpler than SVG for database diagrams? [closed]

This is PNG was exported from Inkscape. I created it manually and used the connector tool to link tables. I find the plain SVG for this diagram more complicated than I was expecting so would like to ...
• 111
1 vote
133 views

### Turning colorized comic-art into uncolorized monochrome (line-art-inks-only B&W), not just very-light-grayscale

I'm trying to figure out how to go about removing the "colorization" of comic/cartoon/manga/etc drawn-art inputs where the black-ink strokes ("the line-art") are to be retained ...
• 11
1 vote
425 views

### How to plot an ADC value from the Raspberry PI Pico using pythons matplotlib

Being new to Python and this community, I am trying to plot the pulse return from a transducer. The pulse return is 400 uSecs in duration and occurs every 100 milliseconds. So far I can plot the ...
• 11
1 vote
379 views

### Combine box shadow with a signed distance field

I'm using 2d signed distance fields in my current project for drawing shapes (example: https://www.shadertoy.com/view/4llXD7) and I want to add drop shadows to them. At first I thought I could exploit ...
• 111
1 vote
59 views

### Rectangle bounds of isometric object to isometric bounds

This might sound confusing, but this is what I'm trying to achieve: project to: I already have an algorithm in my mind, where we simply detect the corners touching the Cartesian rectangle and ...
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