PPT-Multi-view geometry Structure from motion

Camera 3 R 3 t 3 Figure credit Noah Snavely Camera 1 Camera 2 R 1 t 1 R 2 t 2 Structure from motion Camera 3 R 3 t 3 Camera 1 Camera 2 R 1 t 1 R 2 t 2 Structure . Structure from motion. Given . a set of corresponding points in two or more images, compute the camera . parameters and the 3D point coordinates. Camera 1. Camera 2. Camera 3. R. 1. ,t. 1. R. 2. ,t. 2. Sayed. . Hamed. Ali. (BUE. ). New geometry for full simulation . 1. Simulation studies in CMS using upgraded geometries . Geometry construction. Simulated hits production via GEANT4. Simulation of the detector response in CMSSW (digitization). Odilon Redon, Cyclops, 1914. Our goal: Recovery of 3D structure. Recovery of structure from one image is inherently ambiguous. x. X?. X?. X?. Our goal: Recovery of 3D structure. Recovery of structure from one image is inherently ambiguous. Many slides adapted from S. Seitz. Multi-view . stereo. Generic problem formulation: given several images of the same object or scene, compute a representation of its 3D shape. Reconstruction (side). Structure from motion. Given a set of corresponding points in two or more images, compute the camera parameters and the 3D point coordinates. Camera 1. Camera 2. Camera 3. R. 1. ,t. 1. R. 2. ,t. 2. R. Conceptual Model. – a set of concepts that describe a subject and allow reasoning about it. Mathematical Model. – a conceptual model expressed in symbols and equations. Data Model. – a conceptual model expressed in a data structure (e.g. ascii files, Excel tables, …..). Misha. Kazhdan. What do we want to compute?. (What established theory can we apply?). How do we compute it effectively?. (How do we implement efficiently/robustly?). Geometry Processing in Detail. Symmetry Detection. Multi-view geometry problems. Structure: . Given projections of the same 3D point in two or more images, compute the 3D coordinates of that point. Camera 3. R. 3. ,t. 3. Slide credit: Noah . Snavely. Multi-View Drawing. Shows two or more two-dimensional views of a three-dimensional object.. Provides the shape description of an object. . When combined with dimensions, serves as the main form of communication between designers and manufacturers.. Given a set of corresponding points in two or more images, compute the camera parameters and the 3D point coordinates. Camera 1. Camera 2. Camera 3. R. 1. ,t. 1. R. 2. ,t. 2. R. 3. ,t. 3. ?. ?. ?. Slide credit: Noah . – a set of concepts that describe a subject and allow reasoning about it. Mathematical Model. – a conceptual model expressed in symbols and equations. Data Model. – a conceptual model expressed in a data structure (e.g. ascii files, Excel tables, …..). Shows two or more two-dimensional views of a three-dimensional object.. Provides the shape description of an object. . When combined with dimensions, serves as the main form of communication between designers and manufacturers.. Zhaoliang. . Lun. Matheus Gadelha. Evangelos. . Kalogerakis. Subhransu . Maji. Rui. Wang. Image from Autodesk 3D Maya. Creating 3D shapes is not easy. Goal: 2D line drawings in, 3D shapes out!. ShapeMVD. By. Neha Ujjainkar & Abhishek Khandekar. Outline. Problem Statement. Introduction. Literature Review. Data set. Significance. Experiment Design. Timeline and Milestones. References. 2. Problem Statement.