Miscellaneous: projection, modelling, rendering

Projection and displays

iPhone and iPodTouch projects

High resolution tiled displays

Peppers ghost: prototype

Diagram explaining how to create projections on surfaces

I can't smell mothballs. Because it is so hard to get their little legs apart. Steve Martin

How do you play 8 Xbox games on one screen?

Evaluating pico projectors for some unusual applications

I don't want to achieve immortality through my work, I want to achieve immortality through not dying. Woodey Allen

Image warping for projection onto a cylinder

An interactive tool for evaluating projection options onto cylindrical displays

Question. Why did the computer programmer die in the shower?
Answer. The instructions on the shampoo bottle read: "Lather, Rinse, Repeat"

Multiwall and offaxis projection
Including multiple wall displays using OpenGL and independent machines driving each wall. Implementation report.

Comparing display resolutions

Data visualisation

Representations of laser scan data

Workflow for rapid prototyping of molecular data

Workflow for rapid prototyping of 3D reconstructed surfaces, applications to rock art

PhotoScan to Shapeways

- Fulldome content creation
- Transferring slice data to Drishti using ImageJ
- PVL (Processed VoLume) file format
- Samples from 2007

Data visualisation in crystal
Experiments representing data using laser induced bubbles within crystal blocks.

PVIEW Real-time interactive visualisation for large point datasets.

Why do kamikaze pilots wear helmets? Smacks of indecision to me. Sean Mea

Visualisation of the Earth's Mantle

Rendering Galaxy and Nebulae with 3DStudioMax
1. By Navpreet Singh
2. By Sivakumar Maniam, Suzan Hendrata, Rebecca Ng

Some people can read a musical score and in their minds hear the music.... Others can see, in their mind's eye, great beauty and structure in certain mathematical functions....Lesser folk, like me, need to hear music played and see numbers rendered to appreciate their structures. Peter Schroeder

Rendering molecules for immersive environments

Rendering of the 2dF data
Survey revealing the 3D distribution of galaxies in the Universe.

Visualising the Universe
Stuart Gill, C. Fluke, P. Bourke

Solar heater simulator

I broke up with a girl once because she lied about her weight. Well, I say that, but actually she died in a bungee-jumping accident. Jimmy Carr

Visualisation of HPC queue statistics

Representing star fields

Simulated interaction between M31 and M32

I was walking down the street when I saw a dead baby ghost on the road. On reflection it might have been a handkerchief. Milton Jones

The oceans of Earth
A new way of viewing the Earth

Various Mars datasets and renderings of same
Includes rendering from the 1/8 degree data, the 1/128 degree data, and an early cloud based rendering engine.

If you can explain it then you aren't experiencing it! Sigmund Freud

tgs_interp : A utility to extend the animation capabilities of Terragen
Supports stereoscopic view generation as well as cubic maps. (Which can then be used for panoramic, fisheye, spherical projection generation).

Mountains should have holes in. To see the other side. By observing the view through this aperture. Would save a considerable ride. Spike Milligan

Modelling asteroids, real and imagined

"Babylon in all its desolation is a sight not so awful as that of the human mind in ruins". Scrope Davies

Terrain morphing

Terrain modelling and visualisation techniques

Data reduction/filtering for terrain modelling

I used to think that the brain was the greatest organ in the human body, then I realized,"Hey! Look what's telling me that!" Emo Philips

Venus topology
Initial topology reconstruction from the NASA datasets along with rendered examples using Terragen.

Moon topology
The topology of the Earth's moon based upon the Clementine data.

Evaluation of VRML for delivering 3D data/visualisation

Jerash amphitheatre

Nothing is rich but the inexhaustible wealth of nature. She shows us only surfaces, but she is a million fathoms deep. Ralph Waldo Emerson

Approaches to modelling the surface of the Human Cortex
Examples of various approaches using a number of datasets and derived images.

Experiments in Rapid Prototyping (3D printing)

Dangerous data - images from scientific visualisation

Hardware accelerated volume rendering

Visualising images from a confocal microscope

Art, like morality, consists of drawing lines somewhere. G.K. Chesterton
Modelling and rendering the Royal Exhibition Building, Melbourne

Before you criticize someone, you should walk a mile in their shoes. That way, when you criticize them you're a mile away and you have their shoes. Jack Handey

Architectural visualisation examples
Examples from RenderPark, BMRT (Palace by Jorge Angles), the Radiance cabin, the RayShade (Redentore by Nathan O'Brien)

Photography and image manipulation

Converting to/from cubemaps

Slit Scan photography

Enlivening fountains

Comparative resolution of 360 video capture devices

"Crystal ball" photography from the University of Western Australia campus and the Victoria Park photographic competition.

Focus Stacking with the Phase One
Image mosaicking with the Phase One

"Little Planet" photography from the University of Western Australia campus

Examples of Gigapixel photography
Workflow for creating seamless, tripod artefact free spherical panoramas
Chronopanorama (Previously known as Time Lapse Panoramas)

Laser scanning vs 3D reconstruction
3D reconstruction: A study of the effect of resolution and colour
Guiding notes for photographing for 3D reconstruction
Reconstruction of medical samples in pathology: an experiment
Workflow for reconstruction using PhotoScan: Beginners guide
Accuracy and photographic reconstruction
Repeatability accuracy in 3D reconstruction
Workflow for comparing two photogrammetrically reconstructed meshes
PhotoScan to PovRay animation

Manual reconstruction from photography
Tomb of Cyrus
Manually reconstructing heritage building from photographs.

Fundamental parallax error when blending images from multiple cameras.
Determining zero parallax for a lens/camera system
Field of view and focal length
Changing to/from vertical/horizontal aperture

Image warping

Equirectangular to perspective projection

The difference between a mountain and a molehill is your perspective. Anon

Experiments with the GoPro cameras

QTVR object capture.

Registration of HDR images.

CubeRender (Historic Document)
A technique for fast 3D viewing from a single view position

Computers are useless. They can only give you answers. Pablo Picasso

TRACE - rendering point fields

meshviewer - textured mesh viewer

A picture is worth a million bytes. PDB

Mathematics / Statistics

Discrete Stepped Frequency Modulated Chirp

Determinant and inverse of a square matrix

Mean and Variance, center of mass and radius of gyration.

Interpolation methods (low order), Trilinear Interpolation and Linear Regression. As well as a rather perverse way of fitting a curve through any points. Nearest neighbour weighted interpolation.

I could be bounded in a nutshell and count myself a king of infinite space. Shakespear

AutoRegression Analysis (AR)

Gaussian Elimination
Algorithm for solving simultaneous solutions

There cannot be a language more universal and more simple, more free from errors and obscurities,....more worthy to express the invariable relations of natural things than mathematics. It interprets all phenomena by the same language, as if to attest the unity and simplicity of the plan of the universe, and to make still more evident that unchangeable order which presides over all natural causes. Joseph Fourier

Least Squares Method

In any field find the strangest thing and then explore it. John Archibald Wheeler

Introduction to auto-correlation and cross-correlation with an example of 2D cross correlation for pattern identification.

Random number generator
Uniform and Gaussian random number generator library. The generation of random numbers is too important to be left to chance.

Fourier Outline Analysis
Including a Macintosh application that calculates radial series for shape analysis.

Signal Processing

Charlie was a chemist, but Charlie is no more, what Charlie thought was H2O, was H2SO4

Everything you want to know about the Fast Fourier Transform (and Discrete Fourier Transform) including the 2 dimensional FFT.

Welch, triangular, Bartlett, Hanning, Hamming, Kaiser.

Image filtering in the frequency domain

Fourier method of designing digital filters

Why is the winner of the Miss Universe contest always from planet Earth? Rob Hall

Sonification of a pulsar (Vela, PSR B0833-45)

Creating time - frequency plots.


3D scanner notes (May 2015)

View Frustum and clipping

WiTilt 3 axis accelerometer - A user interface

America is the only country where a significant proportion of the population believes that professional wrestling is real but the moon landing was faked. David Letterman

Lens distortion
Covering correction. Including an example on how to achieve general distortion in OpenGL. As well as Computer simulated lens distortion such as Fish eye lens, extreme perspective, panoramic, hemispherical, and 360 degree.

What's the difference between an oral thermometer and a rectal thermometer? Answer: The taste.

Project: Driving task simulator

We must be clear that, when it comes to atoms, language can be used only as in poetry. Niels Bohr

Contribution by Mark Sheeky: Bresenham line drawing algorithm in 3D or 2D.

The prolonged application of polysyllabic vocabulary infallibly exercises a deleterious influence on the fecundity of expression, rendering the ultimate tendency apocryphal. Anon

Various POVRay related material
PovRay for scientific illustration: diagrams to photo-realism. POVRay density (DF3) files: Using POVRay as a volume renderer. Frustum clipping polygonal models for POVRay. CSG modelling, bump maps, media, quality settings, texture billboarding, fog, lens types, QuickTime VR navigable objects. Representing Wavefront OBJ files in POVRay.

global_settings {max_trace_level 1000}
#declare a=sqrt(2);
#declare r=texture{
pigment{color<1,1,1>}finish{ambient 0 diffuse 1 reflection 1}}
camera{location x-y+z look_at<0,0,0>}
light_source{<-3, 3, 3>color<0,0,1>}
light_source{< 3, 3,-3>color<1,0,0>}
sphere{z-x-y,a texture{r}} sphere{x+y+z,a texture{r}}
sphere{y-x-z,a texture{r}} sphere{x-y-z,a texture{r}}

Rendering examples using cluster based distributed rendering
Includes Spiral Vase, Waves, and Watersun by Dennis Miller, spacecraft hanger by Justin Watkins, Glass Cloud by Morgan Larch, Addict by Rob Richens, example by Stèfan Viljoen, examples by Gena Obukhov

Fun with mirrors
The infinite room and how simple geometry (plane, sphere, cylinder) giving rise to complicated lighting structure.

If toast always land butter side down, and cats always land on their feet, what happens if you strap toast on the back of a cat and drop it? Stephen Wright

Space mesh: Fabric of inner and outer space

Depth of field blurring
Simulating depth of field blurring using standard rendering packages.

Wireframe images
Generating wireframe renderings from pure rendering engines.

To tell us that every species of thing is endowed with an occult specific quality by which it acts and produces manifest effects, is to tell us nothing. But to derive two or three general principles of motion from phenomena, and afterwards to tell us how the properties and actions of all corporeal things follow from these manifest principles would be a very great step. Issac Newton

Precomputed, interactive 3D exploration

Antialiasing in images and raytracing

The most important thing in the programming language is the name. A language will not succeed without a good name. I have recently invented a very good name and now I am looking for a suitable language. D. E. Knuth, 1967

Saving images from OpenGL

Distributed OpenGL

AutoCAD to OpenGL

You may say I'm a hacker, But I'm not the only one.
I hope someday you'll join us, And the world will code as one.

Organising unstructured networks

Solving systems defined by differential equations

Fluid simulation, contributed by Peter Birtles.

Particle and Spring example

The construction itself is an art, its application to the world an evil parasite. Luitzen Brouwer

Computer representation, modelling and rendering of plant structures

Prediction is difficult, especially of the future. Niels Bohr

Miscellaneous functions -- Tables of integrals
Includes the following functions: Alpha, Zeta, SINC, Factorial Gamma, Gabor, Sigmoid, Gompertz, Biexponential. As well as the Gaussian (Normal), Poisson, Gamma, Exponential, Rayleigh, and Rice distributions. Also: trigonometric relationships, and various series and sequences.

You are totally unique, just like everyone else. Sigmund Freud

Miscellaneous numbers
For example, phi, pi, e, a description of Sumerian arithmetic, and a integer square root algorithm.

Contents : 
Index ) 
All pages ) 
Papers, Articles, Seminars, Workshops
Data Formats: 3D, Audio, Image
Geometry, Surfaces, Curves, Polyhedra
Fractals, Chaos, Self similarity
Texture, Colour, Tiling
Exhibitions, Competitions, Productions
Domes, Planetariums, Fisheye, Spherical mirror
Stereographics, 3D projection
Miscellaneous: Projection, Modelling, Rendering
Fun, Puzzles, Travel
Search : 
New/Updated :  Spatial errors in stereoscopic displays -- Fundamental parallax error when stitching/blending images from multiple cameras -- Equirectangular to perspective projection -- Visualising volumetric fractals -- Converting dual fisheye images into a spherical (equirectangular) projection -- Tricurves
Offsite :  Shapeways -- Sketchfab -- Zazzle -- Vimeo -- YouTube -- FaceBook
Copyright : 

The contents of this web site are © Copyright Paul Bourke or a third party contributor where indicated. You may print or save an electronic copy of parts of this web site for your own personal use. Permission must be sought for any other use. Any source code found here may be freely used provided credits are given to the author. Purchase of credit free licenses of material found on this site can be negotiated with the author. The author can also quote for unique variations and/or higher resolution versions of the images found on this site.