The document introduces the topics that will be covered in the course, including:
1) The mathematics of 3D triangulation using line-plane and line-line intersections to reconstruct points in 3D space from 2D images.
2) Camera and light source calibration which is needed to map between image points and 3D rays.
3) Reconstruction and visualization of 3D point clouds scanned with swept-plane light sources.
A Bézier curve is a parametric curve frequently used in computer graphics and related fields. Generalizations of Bézier curves to higher dimensions are called Bézier surfaces, of which the Bézier triangle is a special case.
An Autoencoder is a type of Artificial Neural Network used to learn efficient data codings in an unsupervised manner. The aim of an autoencoder is to learn a representation (encoding) for a set of data, typically for dimensionality reduction, by training the network to ignore signal “noise.”
Transformer Architectures in Vision
[2018 ICML] Image Transformer
[2019 CVPR] Video Action Transformer Network
[2020 ECCV] End-to-End Object Detection with Transformers
[2021 ICLR] An Image is Worth 16x16 Words: Transformers for Image Recognition at Scale
Build Your Own 3D Scanner: 3D Scanning with Structured LightingDouglas Lanman
Build Your Own 3D Scanner:
3D Scanning with Structured Lighting
http://mesh.brown.edu/byo3d/
SIGGRAPH 2009 Courses
Douglas Lanman and Gabriel Taubin
This course provides a beginner with the necessary mathematics, software, and practical details to leverage projector-camera systems in their own 3D scanning projects. An example-driven approach is used throughout; each new concept is illustrated using a practical scanner implemented with off-the-shelf parts. The course concludes by detailing how these new approaches are used in rapid prototyping, entertainment, cultural heritage, and web-based applications.
A Bézier curve is a parametric curve frequently used in computer graphics and related fields. Generalizations of Bézier curves to higher dimensions are called Bézier surfaces, of which the Bézier triangle is a special case.
An Autoencoder is a type of Artificial Neural Network used to learn efficient data codings in an unsupervised manner. The aim of an autoencoder is to learn a representation (encoding) for a set of data, typically for dimensionality reduction, by training the network to ignore signal “noise.”
Transformer Architectures in Vision
[2018 ICML] Image Transformer
[2019 CVPR] Video Action Transformer Network
[2020 ECCV] End-to-End Object Detection with Transformers
[2021 ICLR] An Image is Worth 16x16 Words: Transformers for Image Recognition at Scale
Build Your Own 3D Scanner: 3D Scanning with Structured LightingDouglas Lanman
Build Your Own 3D Scanner:
3D Scanning with Structured Lighting
http://mesh.brown.edu/byo3d/
SIGGRAPH 2009 Courses
Douglas Lanman and Gabriel Taubin
This course provides a beginner with the necessary mathematics, software, and practical details to leverage projector-camera systems in their own 3D scanning projects. An example-driven approach is used throughout; each new concept is illustrated using a practical scanner implemented with off-the-shelf parts. The course concludes by detailing how these new approaches are used in rapid prototyping, entertainment, cultural heritage, and web-based applications.
Raster Scan Graphics, Line Drawing Algorithm and Circle Drawing Algorithm Aparna Joshi
This presentation contains -
- Characteristics of line drawing algorithm
- DDA Line Drawing Algorithm
- Bresenham's Line Drawing Algorithm
- Circle Drawing Algorithm
- Eight way symmetry of a circle
- Breseham's Circle Drawing Algorithm
- Midpoint Circle Algorithm
Build Your Own 3D Scanner:
Introduction
http://mesh.brown.edu/byo3d/
SIGGRAPH 2009 Courses
Douglas Lanman and Gabriel Taubin
This course provides a beginner with the necessary mathematics, software, and practical details to leverage projector-camera systems in their own 3D scanning projects. An example-driven approach is used throughout; each new concept is illustrated using a practical scanner implemented with off-the-shelf parts. The course concludes by detailing how these new approaches are used in rapid prototyping, entertainment, cultural heritage, and web-based applications.
Build Your Own 3D Scanner: 3D Scanning with Swept-PlanesDouglas Lanman
Build Your Own 3D Scanner:
3D Scanning with Swept-Planes
http://mesh.brown.edu/byo3d/
SIGGRAPH 2009 Courses
Douglas Lanman and Gabriel Taubin
This course provides a beginner with the necessary mathematics, software, and practical details to leverage projector-camera systems in their own 3D scanning projects. An example-driven approach is used throughout; each new concept is illustrated using a practical scanner implemented with off-the-shelf parts. The course concludes by detailing how these new approaches are used in rapid prototyping, entertainment, cultural heritage, and web-based applications.
Raster Scan Graphics, Line Drawing Algorithm and Circle Drawing Algorithm Aparna Joshi
This presentation contains -
- Characteristics of line drawing algorithm
- DDA Line Drawing Algorithm
- Bresenham's Line Drawing Algorithm
- Circle Drawing Algorithm
- Eight way symmetry of a circle
- Breseham's Circle Drawing Algorithm
- Midpoint Circle Algorithm
Build Your Own 3D Scanner:
Introduction
http://mesh.brown.edu/byo3d/
SIGGRAPH 2009 Courses
Douglas Lanman and Gabriel Taubin
This course provides a beginner with the necessary mathematics, software, and practical details to leverage projector-camera systems in their own 3D scanning projects. An example-driven approach is used throughout; each new concept is illustrated using a practical scanner implemented with off-the-shelf parts. The course concludes by detailing how these new approaches are used in rapid prototyping, entertainment, cultural heritage, and web-based applications.
Build Your Own 3D Scanner: 3D Scanning with Swept-PlanesDouglas Lanman
Build Your Own 3D Scanner:
3D Scanning with Swept-Planes
http://mesh.brown.edu/byo3d/
SIGGRAPH 2009 Courses
Douglas Lanman and Gabriel Taubin
This course provides a beginner with the necessary mathematics, software, and practical details to leverage projector-camera systems in their own 3D scanning projects. An example-driven approach is used throughout; each new concept is illustrated using a practical scanner implemented with off-the-shelf parts. The course concludes by detailing how these new approaches are used in rapid prototyping, entertainment, cultural heritage, and web-based applications.
Build Your Own 3D Scanner: Surface ReconstructionDouglas Lanman
Build Your Own 3D Scanner:
Surface Reconstruction
http://mesh.brown.edu/byo3d/
SIGGRAPH 2009 Courses
Douglas Lanman and Gabriel Taubin
This course provides a beginner with the necessary mathematics, software, and practical details to leverage projector-camera systems in their own 3D scanning projects. An example-driven approach is used throughout; each new concept is illustrated using a practical scanner implemented with off-the-shelf parts. The course concludes by detailing how these new approaches are used in rapid prototyping, entertainment, cultural heritage, and web-based applications.
Build Your Own 3D Scanner:
Course Notes
http://mesh.brown.edu/byo3d/
SIGGRAPH 2009 Courses
Douglas Lanman and Gabriel Taubin
This course provides a beginner with the necessary mathematics, software, and practical details to leverage projector-camera systems in their own 3D scanning projects. An example-driven approach is used throughout; each new concept is illustrated using a practical scanner implemented with off-the-shelf parts. The course concludes by detailing how these new approaches are used in rapid prototyping, entertainment, cultural heritage, and web-based applications.
Reconstruction de surfaces d'objets 3D a partir de nuage de pointsYassine Nasser
Les progrés de l'acquisition 3D ont conduit au développement de techniques
de modélisation géométrique á partir d'un ensemble de points échantillonnant une
surface. Dans ce contexte, cette reconstruction a pour but de générer un modéle
numérique de la surface externe d'un objet physique á partir d'un nuage de points
dont les coordonn 3D sont saisies par un dispositif de mesure.
Une telle problématique se retrouve dans de nombreux domaines d'application,
tels que le design industriel, l'imagerie médicale ou les systémes d'information géographique.
Un autre domaine d'application concerne l'étude et la conservation du
patrimoine historique et culturel. Les modéles géométriques 3D constituent alors un
support privilégié pour l'analyse de la forme et des détails des objets, ainsi que pour
la diusion de la connaissance par la mise sposition des modéles dans des bases de
données ou des musées virtuels accessibles par internet.
Un grand eort de recherche/développement a été porté vers ce secteur ces derni
éres années quand les dispositifs de numérisation de surfaces sont devenus su-
samment bon marché pour être mis á la disposition d'un large éventail d'utilisateurs.
En eet, la solution á ce probléme n'est pas triviale et beaucoup de méthodes ont
été développées pour tenter d'y apporter une solution.
Notre rapport s'organise comme suit. Nous détaillons tout d'abord l'état de l'art
de systéme de la reconstruction d'une surface á partir d'un nuage de point. Puis,
nous décrivons l'approche qu'on va utiliser dans notre implémentation. Cette étape
est suivie d'une analyse et interprétations de l'approche utilise.
An Open Source solution for Three-Dimensional documentation: archaeological a...Giulio Bigliardi
The modern techniques of Structure from Motion (SfM) and Image-Based Modelling
(IBM) open new perspectives in the field of archaeological documentation, providing
a simple and accurate way to record three dimensional data.
The software Python Photogrammetry Toolbox (PPT) is an Open Source solution that
implements a pipeline to perform 3D reconstruction from a set of pictures. It takes
pictures as input and performs automatically the 3D reconstruction for the images for
which 3D registration is possible.
It is composed of python scripts that automate the different steps of the workflow.
The entire process is reduced in two commands, calibration and dense reconstruction.
The user can run it from a graphical interface or from terminal command. Calibration
is performed with Bundler while dense reconstruction is done through CMVS/PMVS.
Despite the automation, the user can control the final result choosing two initial
parameters: the image size and the feature detector. Acting on the first parameter
determines a reduction of the computation time and a decreasing density of the point
cloud. Acting on the feature detector influences the final result: PPT can work both
with SIFT (patent of the University of British Columbia - freely usable only for
research purpose) and with VLFEAT (released under GPL v.2 license). The use of
VLFEAT ensures a more accurate result, though it increases the time of calculation.
Python Photogrammetry Toolbox, released under GPL v.3 license, is a classical
example of FLOSS project in which instruments and knowledge are shared. The community works for the development of the software, sharing code modification,
feed-backs and bug-checking.
Crime Scene Diagramming and Reconstruction by Det. Mike AndersonPPI_Group
From the 3D Laser Scanning for Forensic Scene Mapping Seminar 2014 in Portland and Seattle hosted by The PPI Group and co-sponsored by FARO Technologies. Presentation by Detective Mike Anderson of the Unified Police Department of Greater Salt Lake Utah.
Acoustic Trail, aplicación móvil de ayuda a la navegación personal que te guiará por caminos de montaña desconocidos sin necesidad de mirar la pantalla del móvil, y aunque no tengas cobertura GPRS. Ponente: D. Rafael Olmedo de Geko Navsat, en el 7.º Congreso Internacional de Turismo Rural de Navarra
This poster presents an overview of 3D GIS Capabilities. It can be used for discussions about 3D GIS workflows (from 3D data acquisition to 3D object creation to 3D analysis, modeling and visualization), and the possible applications of 3D GIS in urban and landscape environments
3D Scanning Technology Overview: Kinect Reconstruction Algorithms ExplainedVoxelMetric
Primesense depth cameras are the new standard in 3D scanning technology. The sensors have been mass-produced, and thus sold for a much lower price since the debut of Microsoft Kinect, which uses Primesense infrared LightCoding structured light technology. In this slide deck, we will describe the basics of Primesense-based 3D scanning technology from a physical and computational viewpoint.
Octopus Imaging Software is one of the most versatile and performing packages for the processing of tomography data acquired in almost any geometry. Octopus Imaging Software provides an intuitive interface, an extensive Software Development Kit and high performance routines on various hardware configurations. Combined with unique features such as single slice evaluation, allowing to tune the reconstruction parameters without processing the complete volume, Octopus Imaging Software is an ideal solution for both novice and advanced users. We offer you 3 packages: Octopus Reconstruction, Octopus Visualization and Octopus Analysis.
SIGGRAPH 2014 Course on Computational Cameras and Displays (part 4)Matthew O'Toole
Recent advances in both computational photography and displays have given rise to a new generation of computational devices. Computational cameras and displays provide a visual experience that goes beyond the capabilities of traditional systems by adding computational power to optics, lights, and sensors. These devices are breaking new ground in the consumer market, including lightfield cameras that redefine our understanding of pictures (Lytro), displays for visualizing 3D/4D content without special eyewear (Nintendo 3DS), motion-sensing devices that use light coded in space or time to detect motion and position (Kinect, Leap Motion), and a movement toward ubiquitous computing with wearable cameras and displays (Google Glass).
This short (1.5 hour) course serves as an introduction to the key ideas and an overview of the latest work in computational cameras, displays, and light transport.
Conventional non-vision based navigation systems relying on purely Global Positioning System (GPS) or inertial sensors can provide the 3D position or orientation of the user. However GPS is often not available in forested regions and cannot be used indoors. Visual odometry provides an independent method to estimate position and orientation of the user/system based on the images captured by the moving user accurately. Vision based systems also provide information (e.g. images, 3D location of landmarks, detection of scene objects) about the scene that the user is looking at. In this project, a set of techniques are used for the accurate pose and position estimation of the moving vehicle for autonomous navigation using the images obtained from two cameras placed at two different locations of the same area on the top of the vehicle. These cases are referred to as stereo vision. Stereo vision provides a method for the 3D reconstruction of the environment which is required for pose and position estimation. Firstly, a set of images are captured. The Harris corner detector is utilized to automatically extract a set of feature points from the images and then feature matching is done using correlation based matching. Triangulation is applied on feature points to find the 3D co-ordinates. Next, a new set of images is captured. Then repeat the same technique for the new set of images too. Finally, by using the 3D feature points, obtained from the first set of images and the new set of images, the pose and position estimation of moving vehicle is done using QUEST algorithm.
This PPT gives detailed information about Computer Graphics, Raster Scan System, Random Scan System, CRT Display, Color CRT Monitors, Input and Output Devices
Iterative Closest Point Algorithm - analysis and implementationPankaj Gautam
Implemented ICP algorithm for 2D images using OpenCV.
ICP is used to align partially-overlapping point clouds, given an initial guess for relative transform.
Optical Computing for Fast Light Transport AnalysisMatthew O'Toole
Optical Computing for Fast Light Transport Analysis
Matthew O'Toole and Kiriakos N. Kutulakos. ACM SIGGRAPH Asia, 2010.
We present a general framework for analyzing the transport matrix of a real-world scene at full resolution, without capturing many photos. The key idea is to use projectors and cameras to directly acquire eigenvectors and the Krylov subspace of the unknown transport matrix. To do this, we implement Krylov subspace methods partially in optics, by treating the scene as a black box subroutine that enables optical computation of arbitrary matrix-vector products. We describe two methods—optical Arnoldi to acquire a low-rank approximation of the transport matrix for relighting; and optical GMRES to invert light transport. Our experiments suggest that good-quality relighting and transport inversion are possible from a few dozen low-dynamic range photos, even for scenes with complex shadows, caustics, and other challenging lighting effects.
3D Reconstruction from Multiple uncalibrated 2D Images of an ObjectAnkur Tyagi
3D reconstruction is the process of capturing the shape and appearance of real objects. In this project we are using passive methods which only use sensors to measure the radiance reflected or emitted by the objects surface to infer its 3D structure.
Similar to Build Your Own 3D Scanner: The Mathematics of 3D Triangulation (20)
Welcome to the Program Your Destiny course. In this course, we will be learning the technology of personal transformation, neuroassociative conditioning (NAC) as pioneered by Tony Robbins. NAC is used to deprogram negative neuroassociations that are causing approach avoidance and instead reprogram yourself with positive neuroassociations that lead to being approach automatic. In doing so, you change your destiny, moving towards unlocking the hypersocial self within, the true self free from fear and operating from a place of personal power and love.
3. Representation of lines and rays line reference point vector scale parameter point ray=“1/2 line” parameter is positive
4. Representation of planes parametric reference point 2 vectors point reference point normal vector 1 implicit equation implicit 2 scale parameters
5. Triangulation by line-plane intersection object being scanned projected light plane illuminated point on object camera ray intersection of light plane with object same coordinate system
6. Triangulation by line-line intersection object being scanned camera ray projected light ray lines may not intersect !
7. Approximate line-line intersection Midpoint of segment joining arbitrary points in the two lines Least-squares approach Find parameters which minimize
9. Perspective projection under the pinhole model center of projection image point image plane 3D point light direction for a projector light direction for a camera Calibration: mapping from image points to rays
10. The ideal pinhole camera camera coordinate system = world coordinate system
13. Plane defined by image line and center of projection center of projection image plane Implicit equation of line in image coordinates
14.
Editor's Notes
Build Your Own 3D Scanner 2/18/2009 These sections will be completed if the course is accepted. Preliminary versions of the source materials for these sections can be found on the websites for the semester-long courses in 3D Photography previously taught by the submission authors at Brown University: 3D Photography and Geometry Processing (ENGN 2911-I) http://mesh.brown.edu/3DPGP-2007/ http://mesh.brown.edu/3DPGP-2009/ For the submission round we have included a preview of the notes only for the second session.
Build Your Own 3D Scanner 2/18/2009 These sections will be completed if the course is accepted. Preliminary versions of the source materials for these sections can be found on the websites for the semester-long courses in 3D Photography previously taught by the submission authors at Brown University: 3D Photography and Geometry Processing (ENGN 2911-I) http://mesh.brown.edu/3DPGP-2007/ http://mesh.brown.edu/3DPGP-2009/ For the submission round we have included a preview of the notes only for the second session.
Build Your Own 3D Scanner 2/18/2009 These sections will be completed if the course is accepted. Preliminary versions of the source materials for these sections can be found on the websites for the semester-long courses in 3D Photography previously taught by the submission authors at Brown University: 3D Photography and Geometry Processing (ENGN 2911-I) http://mesh.brown.edu/3DPGP-2007/ http://mesh.brown.edu/3DPGP-2009/ For the submission round we have included a preview of the notes only for the second session.
Build Your Own 3D Scanner 2/18/2009 These sections will be completed if the course is accepted. Preliminary versions of the source materials for these sections can be found on the websites for the semester-long courses in 3D Photography previously taught by the submission authors at Brown University: 3D Photography and Geometry Processing (ENGN 2911-I) http://mesh.brown.edu/3DPGP-2007/ http://mesh.brown.edu/3DPGP-2009/ For the submission round we have included a preview of the notes only for the second session.
Build Your Own 3D Scanner 2/18/2009 These sections will be completed if the course is accepted. Preliminary versions of the source materials for these sections can be found on the websites for the semester-long courses in 3D Photography previously taught by the submission authors at Brown University: 3D Photography and Geometry Processing (ENGN 2911-I) http://mesh.brown.edu/3DPGP-2007/ http://mesh.brown.edu/3DPGP-2009/ For the submission round we have included a preview of the notes only for the second session.
Build Your Own 3D Scanner 2/18/2009 These sections will be completed if the course is accepted. Preliminary versions of the source materials for these sections can be found on the websites for the semester-long courses in 3D Photography previously taught by the submission authors at Brown University: 3D Photography and Geometry Processing (ENGN 2911-I) http://mesh.brown.edu/3DPGP-2007/ http://mesh.brown.edu/3DPGP-2009/ For the submission round we have included a preview of the notes only for the second session.
Build Your Own 3D Scanner 2/18/2009 These sections will be completed if the course is accepted. Preliminary versions of the source materials for these sections can be found on the websites for the semester-long courses in 3D Photography previously taught by the submission authors at Brown University: 3D Photography and Geometry Processing (ENGN 2911-I) http://mesh.brown.edu/3DPGP-2007/ http://mesh.brown.edu/3DPGP-2009/ For the submission round we have included a preview of the notes only for the second session.
Build Your Own 3D Scanner 2/18/2009 These sections will be completed if the course is accepted. Preliminary versions of the source materials for these sections can be found on the websites for the semester-long courses in 3D Photography previously taught by the submission authors at Brown University: 3D Photography and Geometry Processing (ENGN 2911-I) http://mesh.brown.edu/3DPGP-2007/ http://mesh.brown.edu/3DPGP-2009/ For the submission round we have included a preview of the notes only for the second session.
Build Your Own 3D Scanner 2/18/2009 These sections will be completed if the course is accepted. Preliminary versions of the source materials for these sections can be found on the websites for the semester-long courses in 3D Photography previously taught by the submission authors at Brown University: 3D Photography and Geometry Processing (ENGN 2911-I) http://mesh.brown.edu/3DPGP-2007/ http://mesh.brown.edu/3DPGP-2009/ For the submission round we have included a preview of the notes only for the second session.
Build Your Own 3D Scanner 2/18/2009 These sections will be completed if the course is accepted. Preliminary versions of the source materials for these sections can be found on the websites for the semester-long courses in 3D Photography previously taught by the submission authors at Brown University: 3D Photography and Geometry Processing (ENGN 2911-I) http://mesh.brown.edu/3DPGP-2007/ http://mesh.brown.edu/3DPGP-2009/ For the submission round we have included a preview of the notes only for the second session.
Build Your Own 3D Scanner 2/18/2009 These sections will be completed if the course is accepted. Preliminary versions of the source materials for these sections can be found on the websites for the semester-long courses in 3D Photography previously taught by the submission authors at Brown University: 3D Photography and Geometry Processing (ENGN 2911-I) http://mesh.brown.edu/3DPGP-2007/ http://mesh.brown.edu/3DPGP-2009/ For the submission round we have included a preview of the notes only for the second session.
Build Your Own 3D Scanner 2/18/2009
Build Your Own 3D Scanner 2/18/2009 These sections will be completed if the course is accepted. Preliminary versions of the source materials for these sections can be found on the websites for the semester-long courses in 3D Photography previously taught by the submission authors at Brown University: 3D Photography and Geometry Processing (ENGN 2911-I) http://mesh.brown.edu/3DPGP-2007/ http://mesh.brown.edu/3DPGP-2009/ For the submission round we have included a preview of the notes only for the second session.
These sections will be completed if the course is accepted. Preliminary versions of the source materials for these sections can be found on the websites for the semester-long courses in 3D Photography previously taught by the submission authors at Brown University: 3D Photography and Geometry Processing (ENGN 2911-I) http://mesh.brown.edu/3DPGP-2007/ http://mesh.brown.edu/3DPGP-2009/ For the submission round we have included a preview of the notes only for the second session.