PPT-Plane Geometry

Chapter 1 Introduction to Plane Geometry Section 11Geometric Figures Geometrythe study that deals with the properties measurements and construction of flat figures such as angles triangles and of solid figures such as cubes pyramids and spheres. © 2011 . Project Lead The Way, Inc.. Design and Modeling. 3D Modeling Steps - Sketch. Step 1 . Sketch Geometry. Sketch Geometry. Line Sketch Tool . 3D Modeling Steps - Constrain. Step 1 . Sketch Geometry. POINTS!. LINES!. PLANES!. OH MY!. What are the undefined terms in geometry? . What concepts present the foundations of geometry?. Can you sketch the intersection of lines and planes?. These questions (and much more!!) will be answered by the end of this presentation.. Jiecai. He (Jake). One thing to take away from this presentation:. two parallel lines meet at a point at infinity In Projective Geometry. The grand problem. The left image is with perspective distortion – the lines of the windows clearly converge to a finite point. How to fix it ?. A taste of projective geometry. Introduction to Computer Vision. Ronen Basri. Weizmann Institute of Science. Summery of last lecture. Pinhole camera model, perspective projection. Scaled orthographic . 23. Kristen . Grauman. UT-Austin. Stereo:. Epipolar. geometry. Announcements. Reminder: . Pset. 3 due next Wed, March 30. Last time. Image formation affected by geometry, photometry, and optics.. Projection equations express how world points mapped to 2d image.. 1. Uses of projective geometry:. . Drawing and art. . Measurements. Mathematics for projection. Fixing distorted images. . Camera pose estimation. Generating 3D models from 2D . images. . Object recognition. Thermal. Overview. Changing from . Cryomagnet. to PM greatly simplifies AMS-02 Thermal requirements. Keeping vacuum Case “cold as possible” is no longer necessary. . Analysis cases are also reduced:. 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. 3D Modeling Steps - Sketch. Step 1 . Sketch Geometry. Sketch Geometry. Line Sketch Tool . 3D Modeling Steps - Constrain. Step 1 . Sketch Geometry. . Step 2 . Constrain Geometry. A. Apply Geometric Constraints. CMPS 3130/6130 Computational Geometry. 1. CMPS 3130/6130 Computational Geometry. Spring . 2017. Delaunay Triangulations II. Carola. . Wenk. Based on:. Computational Geometry: Algorithms and . Applications. 2 . 8. Binary Space Partitioning Trees Exploration of BSP trees BSP Trees Overview of binary space-partitioning trees BSP Tree Hierarchies A binary space-partitioning (BSP) tree recursively partitions space into pairs of subspaces with respect to dividing planes of arbitrary position and orientation. The two partitions are referred to as the positive and negative 2 . 8. Binary Space Partitioning Trees Exploration of BSP trees BSP Trees Overview of binary space-partitioning trees BSP Tree Hierarchies A binary space-partitioning (BSP) tree recursively partitions space into pairs of subspaces with respect to dividing planes of arbitrary position and orientation. The two partitions are referred to as the positive and negative Coil 115 Geometry after assembly & test. 23/03/2016. Jose Ferradas. TE – MSC - MDT. Alejandro . Carlon. TE – MSC - MDT. Juan Carlos Perez. TE – MSC - MDT. Measurements performed by Alejandro . Grauman. UT-Austin. Stereo:. Epipolar. geometry. Announcements. Reminder: . Pset. 3 due next Wed, March 30. Last time. Image formation affected by geometry, photometry, and optics.. Projection equations express how world points mapped to 2d image..