Questions tagged [algorithm]

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Algorithm to convert direct vertex data to indexed vertex data?

I'm using a graphics renderer that requires my model to have indexed vertex and UV data in order to use its tessellation and surface subdivision features. However, the tool I am using to export my ...
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How to determine polygon vertices?

I have an image in two colors - black and white, no halftones or other colors. It is known, that the only thing this image contains is a single solid filled polygon of the black color, and the rest of ...
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Algorithm for transforming PNG anti-aliasing to smooth paths

I read the pixels of PNG files via libpng and creates an array of alpha channels (showing visible pixels for a monochromatic image). int pixels[height][width]; <...
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Extrusion Algorithm For Bezier Curves

I just posted this to SO but the question got closed, so I hope it's OK if I try it again here. They say "we don’t allow questions seeking recommendations for books, tools, software libraries&...
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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 ...
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2 votes
1 answer
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Having trouble implementing distance transform with jump flood

I'm attempting to use the jump flood algorithm to compute distance transforms of an arbitrary texture derived from a canvas2d context, roughly following the explanations detailed here/here. In the ...
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1 answer
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How is the beam transmittance calculated in PBRT V3?

In pbrt v3, the book gives this description of beam transmittance, but I don't know how to solve the differential equation like it says to get Tr , can someone please tell me how to solve the ...
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31 views

Efficient method of mapping any RGB tuple onto a list of RGB indices, is using some kind of partition plane viable?

Suppose we want to convert an RGB image into a paletted image. As an example, we may have a 1024x1024 image, and we want to map it onto 512 unique colors. All the colors are RGB. This is a problem of ...
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1 answer
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How is raytracing performed in anisotropic media?

I wish to determine the path taken by a light ray between two points, $a$ and $b$, through an anisotropic medium. More specifically, this medium has an index of refraction which varies as an ...
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1 answer
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wall clock using bresenhams circle drawing algo

I am new to CG and I need to draw a wall clock using bresenhams circle algo . I have drawn a circle using this algo but how do I add minute and hour needle in it basically how do i add lines inside a ...
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Fractal dimension of landscape generated with Fournier's midpoint algorithm (recursive subdivision) is 2.0 no matter what. Why?

I am using Fournier's midpoint algorithm (recursive subdivision) to construct a landscape of 1025 x 1025 gridpoints, then I am using an advanced version of box counting to find fractal dimension, D. ...
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3 votes
3 answers
3k views

How can I get a signed distance (SDF) from a mesh?

I am trying to use constructive solid geometry (CSG) and boolean operators to combine various shapes and get the outer (possibly concave) hull. This seems to work okay when using primitive shapes like ...
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1 answer
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getting the outline of an arbitrary set of shape unions

I hope this is the right forum to ask this question. I want to experiment with procedurally generating some buildings, and as a first step I want to generate a 2D shape to use as a foundation for the ...
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2 votes
1 answer
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results of Curved PN-Triangles algorithm has visible edges

I implemented the curved PN triangles algorithm described in this paper to smooth geometry in real time. After the implementation was finished (in glsl) I realized, that this algorithm smooth the ...
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Is this way of transforming QMC samples into barycentric tri coordinates agnostic to mesh-topology?

While I'll try my best to give all relevant info in all possible brevity below, please refer to the spoiler and link at the bottom of the post for the (more lengthy) original description if needed. ...
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Divide mesh according to level of detail

Background I need to remesh by OpenVDB, like what Blender remesh does: Voxel Uses an OpenVDB to generate a new manifold mesh from the current geometry while trying to preserve the mesh’s original ...
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5 votes
1 answer
89 views

Existing method to automatically fill in this sort of concavity in meshes?

I am working with a PWP3D-like algorithm that renders silhouettes of a mesh in order to segment a frame of video and update an object's pose. Because it is only the silhouettes of the mesh that matter,...
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Under what conditions does a mesh operation cause the mesh become non-manifold and how to avoid it?

I'm implementing some mesh operations (e.g. edge collapse, edge split, edge flip etc) and need to ensure applying such operations does not cause the mesh to become non-manifold. However, I'm not sure ...
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Differential or intersection of islands of 2D polygons in different layers

I have a 2D layer/section containing the 2D polygons colored in shades of green. I have another layer containing the 2D polygons colored in shades of blue. I intend to figure out how different are ...
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1 answer
137 views

Rotate a Bitmap with Shearing

I am rotating a bitmap using the three shear algorithm documented in these articles [1][2]. From about 0-90°, the quality is acceptable, but beyond that it gets progressively more distorted until it's ...
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1 vote
1 answer
413 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 ...
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1 vote
1 answer
40 views

Subdivision scheme where the faces and edges have weights (not necessarily scalar weights)

Subdivision schemes work by considering the vertices and their connectivity information to calculate averaging weights. However, other than specifying which vertices are connected, and perhaps which ...
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1 vote
1 answer
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Is There an algorithm to remove intersections between two tetrahedrons?

I have a mesh made up of several tetrahedrons, I know for sure that there are intersections between some of them: how can I remove these intersections, without generating others? In other terms: if ...
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2 answers
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Rounding a 3D corner with Subdivisions

Following the instructions from this post on Stack Overflow, I have been able to find points A, B, and C from points V1, V2, and V3 and a radius value (code below). I would like to be able to find a ...
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2 votes
1 answer
253 views

How do I efficiently calculate the distance to the edge of a shape?

I'm trying to implement something like an "inner glow". That is, I have an image which defines the shape of an object, and then I want to create overlay that is a gradient that goes from the ...
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1 vote
0 answers
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How can I pull up the whole area of the square? [closed]

What algorithm can i use to pull entere area? i have this image: are there many algorithms, which algorithm can you recommended me to implement? Edit 1: my square was builded with lines (bresenham), ...
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1 vote
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How can i stretch a line?

How can I remodel a line, i want to draw first a line then i want to remodel the line such as in paint software, which algorithm should I use? Are there several algorithms to achieve this? i am using ...
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How can i use bresemhan to any cases?

i have this bresenham's code, but actually this work only to some cases, how can i complete to any cases? ...
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1 answer
289 views

What method is used for baking grayscale curvature maps

I'm looking for a way to generate curvature maps like this: The map stores the Convexity and Concavity of each pixel as a value from 0 to 1, where .5 is no curvature and 1 and 0 are the extremes. I ...
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How does on the fly LOD work?

In the Unreal Engine 5 tech demo, they mention, that there is no need to manually generate LOD levels for each model, because the on the fly LOD system will generate polygons from the original mesh, ...
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4 votes
2 answers
338 views

2D metaballs with marching squares and linear interpolation

I struggle do understand how linear interpolation works in the marching square rendering algorithm context. I created simple example in GDScript (Godot) of random floating metaballs to demonstrate ...
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2 votes
1 answer
472 views

Bresenham circle drawing algorithm, compute the distance?

In the Bresenham circle drawing algorithm, we have to choose between the top and bottom pixel, but what we always do is using the circle's equation ($f(x, y) = x^2 + y^2 = r^2$) to determine which of ...
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1 vote
0 answers
22 views

What algorithms are needed to map displacement to base mesh?

By given belows, Base mesh(vertices, faces, texture coordinates - UV map), Normal map(1024x1024 image), Displacement map(1024x1024 image), I want to make a mesh which reflects the displacement map. ...
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0 votes
1 answer
133 views

Perlin Noise implementation looks blocky in WebGL2

I'm trying to implement Perlin Noise. Earlier I implemented it using HTML Canvas and then converted it to WebGL2 since I wanted a faster implementation. But the WebGL2 code has obvious edge artifacts ...
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1 vote
1 answer
331 views

How to handle Half edge boundary edge iteration from vertex?

Ok so let's say we have a portion of a mesh that looks somewhat like this: A triangle fan with one of the triangles removed. If that triangles was not removed, we could get all the edges adjacent to ...
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2 votes
1 answer
130 views

How do people come up with subdivision schemes?

Be it chaikin subdivision, loop subdivision, catmull-clark subdivision... How do people come up with the coefficients for an arbitrary subdivision scheme?
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3 votes
1 answer
418 views

Ray vs AABB algorithm that also gives which side was hit?

There are plenty of well-known algorithms for determining if a ray hit an Axis-Aligned Bounding Box (AABB), like Andrew Woo's covered in a response here. Using ...
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1 vote
0 answers
82 views

What other geometry processing data structures are there?

I essentially know of 2 geometry processing data structures. one is the half edge (which has some really nice properties, but can't represent non manifold meshes nor tet meshes). The other is an ...
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1 vote
0 answers
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BSP tree rendering

As a little project, I'd like to implement a BSP merging algorithm for Boolean operations on solids. But to even tell whether it works, I need some way to render the BSP tree. In other words, I have a ...
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0 votes
1 answer
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Deep Learning for 3D Point Clouds, volume detection and meshing

I'm working (as a Post-doc) on an archaeological excavation point cloud dataset with over 2.5 Billion points. This points come from a trench, a cuboid 10 x 10 x 3 m. Each point cloud is a layer, the ...
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4 votes
2 answers
190 views

Creating a Smooth 3D Mesh from a 2D Outline

I am trying to find (or maybe create) an algorithm for creating a smooth, rounded 3D mesh given a 2D outline. I'm trying to recreate a system from a Gamecube game called Amazing Island, and you can ...
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3 votes
1 answer
124 views

Estimating the position of vertexes in a 3D model

Introduction to my project: We are machine learning scientists and working on a biomedical system for tracking tongue for speech pathology using a technology called EMA (Electromagnetic ...
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1 vote
0 answers
40 views

How can I detect if an edge has flipped during the UV unfold process?

I'm writing my own UV Unfold operation (similar to Maya's Optimize UV tool or 3DS Max's Relax Tool). My code works great 90% of the time but in some instances, I'm getting faces and edges that flip ...
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1 vote
2 answers
111 views

Convert triangulated object to a polygonized object

Is there an efficient algorithm to convert a 3D object described with a set of triangles to a 3D object described with a set of polygons. Polygons can have an arbitrary number of points, more is ...
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2 votes
0 answers
360 views

Out of core rendering

Suppose there is a frame, which is larger that the device memory (I mean, dozens of Gb). And I would like to render to it from a set of textures, which is larger than the host memory (I mean, dozens ...
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-1 votes
2 answers
676 views

How can i wrap the earth image around a 3D Sphere using OpenGL, GLFW, GLAD, GLM?

Please help me out with this thing and currently i am a little more than a beginner so please tell me in that context. i don't need any obsolete methods for creating this like using GLUT or GLEW.can ...
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1 vote
2 answers
110 views

Techniques for rendering high polycount models

I would like to know what common techniques are used for rendering large models, when using rasterisation within a graphics API, for example OpenGL or Vulkan. For example if I had a model with >10 ...
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3 votes
1 answer
151 views

Non jagged line algorithm for javascript canvas

I'm trying to draw a line between two specified points, by updating values in an array which is heightxWidth with each element a set of four bytes (r,g,b,a). In my naive implementation I get the top ...
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2 votes
1 answer
118 views

Why the Bresenham's algorithm does not work for those two points?

I am using the Bresenham algorithm from wikipedia: ...
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4 votes
0 answers
201 views

Pre-filtered environment map, deriving the equation

I'm reading through this article, and more specifically I'm trying to derive the equation that would explain the implementation the following shader (still in the same article): ...
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