3D Modeling & Sketchup
|
|
|
- Darren Dorsey
- 5 years ago
- Views:
Transcription
1 3D Modeling & Sketchup Lecture 118, Tuesday October 30th, 2014 SketchUp / SkechUp Pro Available to CS 410 students on Windows Machines in USB /30/14 Bruce A. Draper & J. Ross Beveridge
2 Sketchup History 10/30/14 Bruce A. Draper & J. Ross Beveridge Opening Move 10/30/14 Bruce A. Draper & J. Ross Beveridge
3 Templates 10/30/14 Bruce A. Draper & J. Ross Beveridge One Rectangular Face! Exact values in the Dimensions Box.! You will want to learn to enter values here. 10/30/14 Bruce A. Draper & J. Ross Beveridge
4 Export to.obj format 10/30/14 Bruce A. Draper & J. Ross Beveridge Export to.obj format! Note, this is why we use.obj files. 10/30/14 Bruce A. Draper & J. Ross Beveridge
5 When Exporting Consider! Do you export edges? (generally no)! Are you two faced? (depends)! How about only triangles?! This is particularly easy with rectangles.! May be helpful depeding upon your ray tracer design and what you implement.! We are not yet ready to say much about texture maps 10/30/14 Bruce A. Draper & J. Ross Beveridge Add Some Color 10/30/14 Bruce A. Draper & J. Ross Beveridge
6 Now, 7 things to learn! Canonical Views! Rotating Views! Zooming Views! Extruding a 2D shape to produce 3D shape! Selecting parts faces! Painting faces! Removing a face 10/30/14 Bruce A. Draper & J. Ross Beveridge A Perfect Cube 10/30/14 Bruce A. Draper & J. Ross Beveridge
7 Coloring A Face - How 10/30/14 Bruce A. Draper & J. Ross Beveridge Delete the Top Face 10/30/14 Bruce A. Draper & J. Ross Beveridge
8 Scaling 10/30/14 Bruce A. Draper & J. Ross Beveridge Moving an Object Pay close attention Direction of move is guessed It is indicated in color of axis Changing viewpoing will probably change the defaults 10/30/14 Bruce A. Draper & J. Ross Beveridge
9 Selection Parts and All 10/30/14 Bruce A. Draper & J. Ross Beveridge Cloning an Object! Hold down the option key while dragging 10/30/14 Bruce A. Draper & J. Ross Beveridge
10 Cloning Once, Why Not More Note the magic 2x 10/30/14 Bruce A. Draper & J. Ross Beveridge Make 5 Select 5 Repeat = 25 10/30/14 Bruce A. Draper & J. Ross Beveridge
11 Rotation This is Trickier 10/30/14 Bruce A. Draper & J. Ross Beveridge Stonehenge 10/30/14 Bruce A. Draper & J. Ross Beveridge
12 Stonehenge /30/14 Bruce A. Draper & J. Ross Beveridge Learning More 10/30/14 Bruce A. Draper & J. Ross Beveridge
13 Modeling Approach #1: Polygonal Meshes (review) Surface patch = a polygon in 3D! 3 or more vertices! Each vertex is an (x, y, z) triple! Vertices are supplied in order! Boundary goes from vertex #1 to vertex #2 to vertex #N, and back to vertex #1! All vertices must be co-planar! Polygon must be convex 10/30/14 Bruce A. Draper & J. Ross Beveridge 2014 Slide 25 Surfaces: Connected Polygons (review)! A mesh surface is then just a set of nonoverlapping polygons that share vertices and edges Triangle Strip Quad Mesh 10/30/14 Bruce A. Draper & J. Ross Beveridge 2014 Slide 26
14 Surfaces are generally not planar (review)! Although every polygon in the mesh must be! Patches form a locally linear approximation to curved surfaces 3D Model by Daniel Rypl at the Czech Technical University in Prague. 10/30/14 Bruce A. Draper & J. Ross Beveridge 2014 Slide 27 Approach #2: (CFG) Constructive Solid Geometry! Modeling language defines shape primitives! E.g. sphere, cube, pyramid,! Shapes can be transformed! Translation, Rotation, Scale,! Shapes manipulated as sets! Shapes can be added (A union B) together! Shapes can be intersected (A intersect B)! Shapes can be subtracted (A minus B) 10/30/14 Bruce A. Draper & J. Ross Beveridge 2014 Slide 28
15 For example Set Difference Intersection Union 10/30/14 Bruce A. Draper & J. Ross Beveridge 2014 Slide 29 Representing CSG! CSG exploits object oriented representations.! A Shape is a top-level object.! Each type of shape is a subclass! Spheres store an (x,y,z) center and radius.! Cubes store vertices.! All shapes implement transformation operators. 10/30/14 Bruce A. Draper & J. Ross Beveridge 2014 Slide 30
16 Approach #3: Splines! Splines combine 3D surface patches! Each surface is a 3 rd -order surface patch! Made from two 3 rd -order curves More on curves and surfaces around Thanksgiving. 10/30/14 Bruce A. Draper & J. Ross Beveridge 2014 Slide 31
Overview: Ray Tracing & The Perspective Projection Pipeline
Overview: Ray Tracing & The Perspective Projection Pipeline Lecture #2 Thursday, August 28 2014 About this Lecture! This is an overview.! Think of it as a quick tour moving fast.! Some parts, e.g. math,
Computer Graphics 1. Chapter 2 (May 19th, 2011, 2-4pm): 3D Modeling. LMU München Medieninformatik Andreas Butz Computergraphik 1 SS2011
Computer Graphics 1 Chapter 2 (May 19th, 2011, 2-4pm): 3D Modeling 1 The 3D rendering pipeline (our version for this class) 3D models in model coordinates 3D models in world coordinates 2D Polygons in
Lecture notes: Object modeling
Lecture notes: Object modeling One of the classic problems in computer vision is to construct a model of an object from an image of the object. An object model has the following general principles: Compact
Computer Graphics Prof. Sukhendu Das Dept. of Computer Science and Engineering Indian Institute of Technology, Madras Lecture - 24 Solid Modelling
Computer Graphics Prof. Sukhendu Das Dept. of Computer Science and Engineering Indian Institute of Technology, Madras Lecture - 24 Solid Modelling Welcome to the lectures on computer graphics. We have
Chapter 4-3D Modeling
Chapter 4-3D Modeling Polygon Meshes Geometric Primitives Interpolation Curves Levels Of Detail (LOD) Constructive Solid Geometry (CSG) Extrusion & Rotation Volume- and Point-based Graphics 1 The 3D rendering
9. Three Dimensional Object Representations
9. Three Dimensional Object Representations Methods: Polygon and Quadric surfaces: For simple Euclidean objects Spline surfaces and construction: For curved surfaces Procedural methods: Eg. Fractals, Particle
Engineering Drawing II
Instructional Unit Basic Shading and Rendering -Basic Shading -Students will be able -Demonstrate the ability Class Discussions 3.1.12.B, -Basic Rendering to shade a 3D model to apply shading to a 3D 3.2.12.C,
CSG obj. oper3. obj1 obj2 obj3. obj5. obj4
Solid Modeling Solid: Boundary + Interior Volume occupied by geometry Solid representation schemes Constructive Solid Geometry (CSG) Boundary representations (B-reps) Space-partition representations Operations
Beaumont Middle School Design Project April May 2014 Carl Lee and Craig Schroeder
Beaumont Middle School Design Project April May 2014 Carl Lee and Craig Schroeder 1 2 SketchUp 1. SketchUp is free, and you can download it from the website www.sketchup.com. For some K12 use, see www.sketchup.com/3dfor/k12-education.
Introduction to Geometry. Computer Graphics CMU /15-662
Introduction to Geometry Computer Graphics CMU 15-462/15-662 Assignment 2: 3D Modeling You will be able to create your own models (This mesh was created in Scotty3D in about 5 minutes... you can do much
Geometry Vocabulary. acute angle-an angle measuring less than 90 degrees
Geometry Vocabulary acute angle-an angle measuring less than 90 degrees angle-the turn or bend between two intersecting lines, line segments, rays, or planes angle bisector-an angle bisector is a ray that
Polygon Meshes and Implicit Surfaces
CSCI 420 Computer Graphics Lecture 9 Polygon Meshes and Implicit Surfaces Polygon Meshes Implicit Surfaces Constructive Solid Geometry [Angel Ch. 10] Jernej Barbic University of Southern California 1 Modeling
Polygon Meshes and Implicit Surfaces
CSCI 420 Computer Graphics Lecture 9 and Constructive Solid Geometry [Angel Ch. 10] Jernej Barbic University of Southern California Modeling Complex Shapes An equation for a sphere is possible, but how
Physically-Based Modeling and Animation. University of Missouri at Columbia
Overview of Geometric Modeling Overview 3D Shape Primitives: Points Vertices. Curves Lines, polylines, curves. Surfaces Triangle meshes, splines, subdivision surfaces, implicit surfaces, particles. Solids
Lecture 4, 5/27/2017, Rhino Interface an overview
數字建築與城市设计 Spring 2017 Lecture 4, 5/27/2017, Rhino Interface an overview Copyright 2017, Chiu-Shui Chan. All Rights Reserved. This lecture concentrates on the use of tools, 3D solid modeling and editing
3D Design with 123D Design
3D Design with 123D Design Introduction: 3D Design involves thinking and creating in 3 dimensions. x, y and z axis Working with 123D Design 123D Design is a 3D design software package from Autodesk. A
Surface Modeling. Polygon Tables. Types: Generating models: Polygon Surfaces. Polygon surfaces Curved surfaces Volumes. Interactive Procedural
Surface Modeling Types: Polygon surfaces Curved surfaces Volumes Generating models: Interactive Procedural Polygon Tables We specify a polygon surface with a set of vertex coordinates and associated attribute
11/1/13. Polygon Meshes and Implicit Surfaces. Shape Representations. Polygon Models in OpenGL. Modeling Complex Shapes
CSCI 420 Computer Graphics Lecture 7 and Constructive Solid Geometry [Angel Ch. 12.1-12.3] Jernej Barbic University of Southern California Modeling Complex Shapes An equation for a sphere is possible,
From curves to surfaces. Parametric surfaces and solid modeling. Extrusions. Surfaces of revolution. So far have discussed spline curves in 2D
From curves to surfaces Parametric surfaces and solid modeling CS 465 Lecture 12 2007 Doug James & Steve Marschner 1 So far have discussed spline curves in 2D it turns out that this already provides of
CS337 INTRODUCTION TO COMPUTER GRAPHICS. Describing Shapes. Constructing Objects in Computer Graphics. Bin Sheng Representing Shape 9/20/16 1/15
Describing Shapes Constructing Objects in Computer Graphics 1/15 2D Object Definition (1/3) Lines and polylines: Polylines: lines drawn between ordered points A closed polyline is a polygon, a simple polygon
CS 465 Program 4: Modeller
CS 465 Program 4: Modeller out: 30 October 2004 due: 16 November 2004 1 Introduction In this assignment you will work on a simple 3D modelling system that uses simple primitives and curved surfaces organized
CS123 INTRODUCTION TO COMPUTER GRAPHICS. Describing Shapes. Constructing Objects in Computer Graphics 1/15
Describing Shapes Constructing Objects in Computer Graphics 1/15 2D Object Definition (1/3) Lines and polylines: Polylines: lines drawn between ordered points A closed polyline is a polygon, a simple polygon
acute angle An angle with a measure less than that of a right angle. Houghton Mifflin Co. 2 Grade 5 Unit 6
acute angle An angle with a measure less than that of a right angle. Houghton Mifflin Co. 2 Grade 5 Unit 6 angle An angle is formed by two rays with a common end point. Houghton Mifflin Co. 3 Grade 5 Unit
03 Vector Graphics. Multimedia Systems. 2D and 3D Graphics, Transformations
Multimedia Systems 03 Vector Graphics 2D and 3D Graphics, Transformations Imran Ihsan Assistant Professor, Department of Computer Science Air University, Islamabad, Pakistan www.imranihsan.com Lectures
Ray Polygon Intersection.
Ray Polygon Intersection. Lecture #17 Thursday, October 28th, 2014 Review - Ray Casting! Goal: throw rays through pixels, intersect them with surfaces! Compute surface reflectance at points of intersection
XSI TO SINS: COMMANDS & SHORTCUTS
XSI TO SINS: COMMANDS & SHORTCUTS I. Commonly Used Basic Modeling Commands and Shortcuts in XSI: Section A: The Main Control Panel Select Menu Group/Cluster Selection (See Fig. 1.1 for a quick visual overview)
Math 366 Lecture Notes Section 11.4 Geometry in Three Dimensions
Math 366 Lecture Notes Section 11.4 Geometry in Three Dimensions Simple Closed Surfaces A simple closed surface has exactly one interior, no holes, and is hollow. A sphere is the set of all points at a
Second degree equations - quadratics. nonparametric: x 2 + y 2 + z 2 = r 2
walters@buffalo.edu CSE 480/580 Lecture 20 Slide 1 Three Dimensional Representations Quadric Surfaces Superquadrics Sweep Representations Constructive Solid Geometry Octrees Quadric Surfaces Second degree
1st Point. 2nd Point. hold shift & drag along Y. Splines
Splines STEP 1: open 3DS Max _ from the Command Panel under the Create tab click on Shapes (note: shapes are really Splines) _ under Object Type click on Ellipse STEP 2: Expand the Keyboard Entry tab type
Images from 3D Creative Magazine. 3D Modelling Systems
Images from 3D Creative Magazine 3D Modelling Systems Contents Reference & Accuracy 3D Primitives Transforms Move (Translate) Rotate Scale Mirror Align 3D Booleans Deforms Bend Taper Skew Twist Squash
CS148: Maya Lecture. October 9th, 2017 David Hyde
CS148: Maya Lecture October 9th, 2017 David Hyde Outline Rendering: A Bird s Eye View 3D Art Tools Maya Outline Demo Rendering: A Bird s Eye View AND WHERE DOES CS148 FIT IN? Image: CS148 2015 Scanline
S206E Lecture 17, 5/1/2018, Rhino & Grasshopper, Tower modeling
S206E057 -- Lecture 17, 5/1/2018, Rhino & Grasshopper, Tower modeling Copyright 2018, Chiu-Shui Chan. All Rights Reserved. Concept of Morph in Rhino and Grasshopper: S206E057 Spring 2018 Morphing is a
GRADE 3 GRADE-LEVEL GOALS
Content Strand: Number and Numeration Understand the Meanings, Uses, and Representations of Numbers Understand Equivalent Names for Numbers Understand Common Numerical Relations Place value and notation
Lesson 1: Creating T- Spline Forms. In Samples section of your Data Panel, browse to: Fusion 101 Training > 03 Sculpt > 03_Sculpting_Introduction.
3.1: Sculpting Sculpting in Fusion 360 allows for the intuitive freeform creation of organic solid bodies and surfaces by leveraging the T- Splines technology. In the Sculpt Workspace, you can rapidly
3D Modeling: Surfaces
CS 430/536 Computer Graphics I 3D Modeling: Surfaces Week 8, Lecture 16 David Breen, William Regli and Maxim Peysakhov Geometric and Intelligent Computing Laboratory Department of Computer Science Drexel
General Pyramids. General Cone. Right Circular Cone = "Cone"
Aim #6: What are general pyramids and cones? CC Geometry H Do Now: Put the images shown below into the groups (A,B,C and D) based on their properties. Group A: General Cylinders Group B: Prisms Group C:
Google SketchUp. and SketchUp Pro 7. The book you need to succeed! CD-ROM Included! Kelly L. Murdock. Master SketchUp Pro 7 s tools and features
CD-ROM Included! Free version of Google SketchUp 7 Trial version of Google SketchUp Pro 7 Chapter example files from the book Kelly L. Murdock Google SketchUp and SketchUp Pro 7 Master SketchUp Pro 7 s
Steven Holzner. Sams Teach Yourself. Google. SketchUp 8
Steven Holzner Sams Teach Yourself Google SketchUp 8 Table of Contents Introduction 1 1 Welcome to SketchUp 5 Getting Started with SketchUp 5 Drawing Lines 7 Drawing Simpie Figures 7 Pushing (or Pulling)
To build shapes from scratch, use the tools are the far right of the top tool bar. These
3D GAME STUDIO TUTORIAL EXERCISE #5 USE MED TO SKIN AND ANIMATE A CUBE REVISED 11/21/06 This tutorial covers basic model skinning and animation in MED the 3DGS model editor. This exercise was prepared
Chapter 12: Pull Toy - Solids and Transforms
This tutorial demonstrates using solid primitives and simple transforms. You will learn how to: Enter coordinates to place points exactly. Draw a free-form curve and polygon. Create a pipe along a curve.
SketchUp + Google Earth LEARNING GUIDE by Jordan Martin. Source (images): Architecture
SketchUp + Google Earth LEARNING GUIDE by Jordan Martin Source (images): www.sketchup.com Part 1: Getting Started with SketchUp GETTING STARTED: Throughout this manual users will learn different tools
Constructive Solid Geometry and Procedural Modeling. Stelian Coros
Constructive Solid Geometry and Procedural Modeling Stelian Coros Somewhat unrelated Schedule for presentations February 3 5 10 12 17 19 24 26 March 3 5 10 12 17 19 24 26 30 April 2 7 9 14 16 21 23 28
CS Object Representation. Aditi Majumder, CS 112 Slide 1
CS 112 - Object Representation Aditi Majumder, CS 112 Slide 1 What is Graphics? Modeling Computer representation of the 3D world Analysis For efficient rendering For catering the model to different applications..
Maya Lesson 6 Screwdriver Notes & Assessment
Maya Lesson 6 Screwdriver Notes & Assessment Save a new file as: Lesson 6 Screwdriver YourNameInitial Save in your Computer Animation folder. Screwdriver Handle Base Using CVs Create a polygon cylinder
Geometry Definition in the ADINA User Interface (AUI) Daniel Jose Payen, Ph.D. March 7, 2016
Geometry Definition in the ADINA User Interface (AUI) Daniel Jose Payen, Ph.D. March 7, 2016 ADINA R&D, Inc., 2016 1 Topics Presented ADINA에서쓰이는 Geometry 종류 Simple (AUI) geometry ADINA-M geometry ADINA-M
Turn on the Lights: Reflectance
Turn on the Lights: Reflectance Part 2: Shading Tuesday, October 15 2012 Lecture #14 Goal of Shading Model simple light sources Point light sources Extended light sources Ambient lighting Model lighting
CGT 581 G Geometric Modeling Surfaces (part I)
CGT 581 G Geometric Modeling Surfaces (part I) Bedrich Benes, Ph.D. Purdue University Department of Computer Graphics Technology Polygonal Representation The common representation is a mesh of triangles
3. Draw the orthographic projection (front, right, and top) for the following solid. Also, state how many cubic units the volume is.
PAP Geometry Unit 7 Review Name: Leave your answers as exact answers unless otherwise specified. 1. Describe the cross sections made by the intersection of the plane and the solids. Determine if the shape
CS354 Computer Graphics Surface Representation IV. Qixing Huang March 7th 2018
CS354 Computer Graphics Surface Representation IV Qixing Huang March 7th 2018 Today s Topic Subdivision surfaces Implicit surface representation Subdivision Surfaces Building complex models We can extend
Brief 3ds max Shaping Tutorial
Brief 3ds max Shaping Tutorial Part1: Power Key Axe Shaft Written by Maestro 1. Creation: Go to top view, create a 6 sided cylinder, 0.1 radius this is the perfect shaft thickness to fit in the hand, so
Number/Computation. addend Any number being added. digit Any one of the ten symbols: 0, 1, 2, 3, 4, 5, 6, 7, 8, or 9
14 Number/Computation addend Any number being added algorithm A step-by-step method for computing array A picture that shows a number of items arranged in rows and columns to form a rectangle associative
Freeform / Freeform PLUS
Freeform / Freeform PLUS WORKING WITH FREEFORM Work from Coarse Clay to Fine When creating new models from scratch, it is best to first create a rough shape using a coarse clay setting such as Rough Shape
CS 4620 Midterm 1. Tuesday 22 October minutes
CS 4620 Midterm 1 Tuesday 22 October 2013 90 minutes Problem 1: Transformations (20 pts) Consider the affine transformation on R 3 defined in homogeneous coordinates by the matrix: 1 M = 1 0 0 2 0 1 0
Ray Casting of Trimmed NURBS Surfaces on the GPU
Ray Casting of Trimmed NURBS Surfaces on the GPU Hans-Friedrich Pabst Jan P. Springer André Schollmeyer Robert Lenhardt Christian Lessig Bernd Fröhlich Bauhaus University Weimar Faculty of Media Virtual
CMSC427 Final Practice v2 Fall 2017
CMSC427 Final Practice v2 Fall 2017 This is to represent the flow of the final and give you an idea of relative weighting. No promises that knowing this will predict how you ll do on the final. Some questions
Surface and Solid Geometry. 3D Polygons
Surface and Solid Geometry D olygons Once we know our plane equation: Ax + By + Cz + D = 0, we still need to manage the truncation which leads to the polygon itself Functionally, we will need to do this
6.837 Introduction to Computer Graphics Final Exam Tuesday, December 20, :05-12pm Two hand-written sheet of notes (4 pages) allowed 1 SSD [ /17]
![6.837 Introduction to Computer Graphics Final Exam Tuesday, December 20, :05-12pm Two hand-written sheet of notes (4 pages) allowed 1 SSD [ /17]](/thumbs/87/95541269.jpg "6.837 Introduction to Computer Graphics Final Exam Tuesday, December 20, :05-12pm Two hand-written sheet of notes (4 pages) allowed 1 SSD [ /17]")
6.837 Introduction to Computer Graphics Final Exam Tuesday, December 20, 2011 9:05-12pm Two hand-written sheet of notes (4 pages) allowed NAME: 1 / 17 2 / 12 3 / 35 4 / 8 5 / 18 Total / 90 1 SSD [ /17]
CPSC / Texture Mapping
CPSC 599.64 / 601.64 Introduction and Motivation so far: detail through polygons & materials example: brick wall problem: many polygons & materials needed for detailed structures inefficient for memory
Using the CMA Warp Editor
Using the CMA Warp Editor Overview The Warp Editor feature lets you adjust Axon HD, Axon HD Pro, DLHD or MMS100 output to match complex projection surfaces. These forms allow the projection to match irregular
Modeling 3D Objects: Part 2
Modeling 3D Objects: Part 2 Patches, NURBS, Solids Modeling, Spatial Subdivisioning, and Implicit Functions 3D Computer Graphics by Alan Watt Third Edition, Pearson Education Limited, 2000 General Modeling
3D Modeling. Visualization Chapter 4. Exercises
Three-dimensional (3D) modeling software is becoming more prevalent in the world of engineering design, thanks to faster computers and better software. Two-dimensional (2D) multiview drawings made using
Lecture 11: Ray tracing (cont.)
Interactive Computer Graphics Ray tracing - Summary Lecture 11: Ray tracing (cont.) Graphics Lecture 10: Slide 1 Some slides adopted from H. Pfister, Harvard Graphics Lecture 10: Slide 2 Ray tracing -
SCAMP: A Solid Modeling Program Using Slice-Constrained Medial Primitives for Modeling 3D Anatomical Objects
SCAMP: A Solid Modeling Program Using Slice-Constrained Medial Primitives for Modeling 3D Anatomical Objects Technical Report TR99-035 Department of Computer Science, UNC-Chapel Hill P.T. Fletcher, Yoni
Homework #2. Shading, Projections, Texture Mapping, Ray Tracing, and Bezier Curves
Computer Graphics Instructor: Brian Curless CSEP 557 Autumn 2016 Homework #2 Shading, Projections, Texture Mapping, Ray Tracing, and Bezier Curves Assigned: Wednesday, Nov 16 th Due: Wednesday, Nov 30
CS 4620 Midterm, March 21, 2017
CS 460 Midterm, March 1, 017 This 90-minute exam has 4 questions worth a total of 100 points. Use the back of the pages if you need more space. Academic Integrity is expected of all students of Cornell
Geometric Modeling. Creating 3D solid geometry in a computer! Partial History of Geometric Modeling
Geometric Modeling Creating 3D solid geometry in a computer! Partial History of Geometric Modeling 1963 Wireframe Computer Graphics Invented (Ivan Sutherland, MIT) 2 1 Partial History 1964 DAC-1, General
3D Digital Design. SketchUp
3D Digital Design SketchUp 1 Overview of 3D Digital Design Skills A few basic skills in a design program will go a long way: 1. Orien
L1 - Introduction. Contents. Introduction of CAD/CAM system Components of CAD/CAM systems Basic concepts of graphics programming
L1 - Introduction Contents Introduction of CAD/CAM system Components of CAD/CAM systems Basic concepts of graphics programming 1 Definitions Computer-Aided Design (CAD) The technology concerned with the
Lecture 17: Solid Modeling.... a cubit on the one side, and a cubit on the other side Exodus 26:13
Lecture 17: Solid Modeling... a cubit on the one side, and a cubit on the other side Exodus 26:13 Who is on the LORD's side? Exodus 32:26 1. Solid Representations A solid is a 3-dimensional shape with
CSE528 Computer Graphics: Theory, Algorithms, and Applications
CSE528 Computer Graphics: Theory, Algorithms, and Applications Hong Qin State University of New York at Stony Brook (Stony Brook University) Stony Brook, New York 11794--4400 Tel: (631)632-8450; Fax: (631)632-8334
We have set up our axioms to deal with the geometry of space but have not yet developed these ideas much. Let s redress that imbalance.
Solid geometry We have set up our axioms to deal with the geometry of space but have not yet developed these ideas much. Let s redress that imbalance. First, note that everything we have proven for the
3/3/2014. Sharif University of Technology. Session # 5. Instructor. Class time. Course evaluation. Department of Industrial Engineering
Advanced Manufacturing Laboratory Department of Industrial Engineering Sharif University of Technology Session # 5 Instructor Omid Fatahi Valilai, Ph.D. Industrial Engineering Department, Sharif University
Lesson for levels K-5 Time to complete: min
Lesson Plan: Lesson for levels K-5 Time to complete: 45-90 min Lesson Plan: Level: Grades K-5 (ages 5-10) Time to complete: ~45-90 minutes Learn how to build basic geometry, apply materials, and import
Lecture 11 (Application of Integration) Areas between Curves Let and be continuous and on. Let s look at the region between and on.
Lecture 11 (Application of Integration) Areas between Curves Let and be continuous and on. Let s look at the region between and on. Definition: The area of the region bounded by the curves and, and the
Unit 7: 3D Figures 10.1 & D formulas & Area of Regular Polygon
Unit 7: 3D Figures 10.1 & 10.2 2D formulas & Area of Regular Polygon NAME Name the polygon with the given number of sides: 3-sided: 4-sided: 5-sided: 6-sided: 7-sided: 8-sided: 9-sided: 10-sided: Find
SketchUp Tool Basics
SketchUp Tool Basics Open SketchUp Click the Start Button Click All Programs Open SketchUp Scroll Down to the SketchUp 2013 folder Click on the folder to open. Click on SketchUp. Set Up SketchUp (look
SOLID MODELLING. PARAMETRICALLY WE CAN DEFINE SOLID AS- X=x(u,v,w) Y=y(u,v,w) Z=z(u,v,w) Tricubic solid- u,v,w Є [0,1]
![SOLID MODELLING. PARAMETRICALLY WE CAN DEFINE SOLID AS- X=x(u,v,w) Y=y(u,v,w) Z=z(u,v,w) Tricubic solid- u,v,w Є [0,1]](/thumbs/80/80530647.jpg "SOLID MODELLING. PARAMETRICALLY WE CAN DEFINE SOLID AS- X=x(u,v,w) Y=y(u,v,w) Z=z(u,v,w) Tricubic solid- u,v,w Є [0,1]")
SOLID MODELLING PARAMETRICALLY WE CAN DEFINE SOLID AS- X=x(u,v,w) Y=y(u,v,w) Z=z(u,v,w) u w v Tricubic solid- 3 3 3 P(u,v,w) = Σ Σ Σ a ijk u i v j w k I=0 j=o k=0 u,v,w Є [0,1] GRAPH BASED MODELS OR B-Rep
Mathematics Assessment Anchor Glossary Grades 3 & 4
Mathematics Assessment Anchor Glossary Grades 3 & 4 The definitions for this glossary were taken from one or more of the following sources: Webster s Dictionary, various mathematics dictionaries, the PA
Local Descriptors. CS 510 Lecture #21 April 6 rd 2015
Local Descriptors CS 510 Lecture #21 April 6 rd 2015 A Bit of Context, Transition David G. Lowe, "Three- dimensional object recogni5on from single two- dimensional images," Ar#ficial Intelligence, 31, 3
CHETTINAD COLLEGE OF ENGINEERING & TECHNOLOGY CS2401 COMPUTER GRAPHICS QUESTION BANK
CHETTINAD COLLEGE OF ENGINEERING & TECHNOLOGY DEPARTMENT OF COMPUTER SCIENCE AND ENGINEERING CS2401 COMPUTER GRAPHICS QUESTION BANK PART A UNIT I-2D PRIMITIVES 1. Define Computer graphics. 2. Define refresh
Ready To Go On? Skills Intervention 10-1 Solid Geometry
10A Find these vocabulary words in Lesson 10-1 and the Multilingual Glossary. Vocabulary Ready To Go On? Skills Intervention 10-1 Solid Geometry face edge vertex prism cylinder pyramid cone cube net cross
(1) Page #2 26 Even. (2) Page 596 #1 14. (3) Page #15 25 ; FF #26 and 28. (4) Page 603 #1 18. (5) Page #19 26
Geometry/Trigonometry Unit 10: Surface Area and Volume of Solids Notes Name: Date: Period: # (1) Page 590 591 #2 26 Even (2) Page 596 #1 14 (3) Page 596 597 #15 25 ; FF #26 and 28 (4) Page 603 #1 18 (5)
VOLUME OF A REGION CALCULATOR EBOOK
19 March, 2018 VOLUME OF A REGION CALCULATOR EBOOK Document Filetype: PDF 390.92 KB 0 VOLUME OF A REGION CALCULATOR EBOOK How do you calculate volume. A solid of revolution is a solid formed by revolving
COMPUTER AIDED ARCHITECTURAL GRAPHICS FFD 201/Fall 2013 HAND OUT 1 : INTRODUCTION TO 3D
COMPUTER AIDED ARCHITECTURAL GRAPHICS FFD 201/Fall 2013 INSTRUCTORS E-MAIL ADDRESS OFFICE HOURS Özgür Genca ozgurgenca@gmail.com part time Tuba Doğu tubadogu@gmail.com part time Şebnem Yanç Demirkan sebnem.demirkan@gmail.com
Nets and Drawings for Visualizing Geometry. Unit 1 Lesson 1
Nets and Drawings for Visualizing Geometry Unit 1 Lesson 1 Students will be able to: Represent three-dimensional figures using nets. Make isometric and orthographic drawings. Key Vocabulary: Net Isometric
NAME ICON COMMAND SHORTCUT DESKTOP MOBILE DESCRIPTION Arc arc - Draw > Arc Draws any segment of a circle. - Inserts a camera object.
List of Tools Drawing Tools Arc arc - Draw > Arc Draws any segment of a circle. Array array - Draw > Grip Copies objects in either a rectangular or polar Array Context Menu mode. Box box - Draw > Box Draws
Standard 1 Students will expand number sense to include integers and perform operations with whole numbers, simple fractions, and decimals.
Stretch Standard 1 Students will expand number sense to include integers and perform operations with whole numbers, simple fractions, and decimals. Objective 1: Represent whole numbers and decimals from
Spring 2011 Workshop ESSENTIALS OF 3D MODELING IN RHINOCEROS February 10 th 2011 S.R. Crown Hall Lower Core Computer Lab
[1] Open Rhinoceros. PART 1 INTRODUCTION [4] Click and hold on the Boundary Lines in where they form a crossing and Drag from TOP RIGHT to BOTTOM LEFT to enable only the PERSPECTIVE VIEW. [2] When the
Solid Modelling. Graphics Systems / Computer Graphics and Interfaces COLLEGE OF ENGINEERING UNIVERSITY OF PORTO
Solid Modelling Graphics Systems / Computer Graphics and Interfaces 1 Solid Modelling In 2D, one set 2D line segments or curves does not necessarily form a closed area. In 3D, a collection of surfaces
CS3621 Midterm Solution (Fall 2005) 150 points
CS362 Midterm Solution Fall 25. Geometric Transformation CS362 Midterm Solution (Fall 25) 5 points (a) [5 points] Find the 2D transformation matrix for the reflection about the y-axis transformation (i.e.,
GEOMETRY AND GRAPHICS EXAMPLES AND EXERCISES. Preface
GEOMETRY AND GRAPHICS EXAMPLES AND EXERCISES Preface This textbook is intended for students of subjects Constructive Geometry and Computer Graphics at the Faculty of Mechanical Engineering at Czech Technical
Auto Texture Tiling Tool
Table of Contents Auto Texture Tiling Tool Version 1.77 Read Me 1. Basic Functionality...2 1.1 Usage...2 1.2 Unwrap Method...3 1.3 Mesh Baking...4 1.4 Prefabs...5 2. Gizmos and Editor Window...6 1.1 Offset...6
move object resize object create a sphere create light source camera left view camera view animation tracks
Computer Graphics & Animation: CS Day @ SIUC This session explores computer graphics and animation using software that will let you create, display and animate 3D Objects. Basically we will create a 3
Convergent Modeling and Reverse Engineering
Convergent Modeling and Reverse Engineering 25 October 2017 Realize innovation. Tod Parrella NX Design Product Management Product Engineering Solutions tod.parrella@siemens.com Realize innovation. Siemens
Central issues in modelling
Central issues in modelling Construct families of curves, surfaces and volumes that can represent common objects usefully; are easy to interact with; interaction includes: manual modelling; fitting to
Solid Modeling. Ron Goldman Department of Computer Science Rice University
Solid Modeling Ron Goldman Department of Computer Science Rice University Solids Definition 1. A model which has a well defined inside and outside. 2. For each point, we can in principle determine whether
Course Information Package
Course Information Package PLANNING FORM FOR AN EDUCATIONAL MODULE (to be completed by the teacher) Programme of Studies: Name of the module: Target group: Level of the unit: Entrance requirements: Number
2/12/2015. Sharif University of Technology. Session # 4. Instructor. Class time. Course evaluation. Department of Industrial Engineering
Advanced Manufacturing Laboratory Department of Industrial Engineering Sharif University of Technology Session # 4 Instructor Omid Fatahi Valilai, Ph.D. Industrial Engineering Department, Sharif University
Google SketchUp Math Project: Grades 6-9
Google SketchUp Math Project: Grades 6-9 This is a fun project because it involves making 3D shapes in SketchUp, and also in real life with folded paper. If you need some basic information on downloading
Generalized Hough Transforms
Generalized Hough Transforms CS 510 Lecture #19 April 1, 2015 Preamble to Generalized Hough Those who cannot remember the past are condemned to repeat it Jorge AgusEn Nicolás Ruiz de Santayana y Borrás