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Billboard Clouds for Fabrication Vincent Nivoliers Sylvain Lefebvre ALICE / INRIA
Fabrication Laser cutting SketchChair
What about arbitrary shapes ? 123D, Autodesk
Minimizing matter Packing (very common problem) – Cost by square meter Cutting length – Cost by perimeter length Cost / quality trade-off ?
Meanwhile in the virtual space … Complex 3D shapes are expensive – Many triangles large storage – Many triangles slow display How to simplify?
Automatic selection of planes [Billboard Clouds, Decoret et.al.]
Approach overview Hough transform on planes Select maxima iteratively
Our idea Can we use a similar technique for fabrication? – How is this different ? – Simpler problem first ?
I Spy! Shapes in our world. Art and shapes Plane shapes are flat and closed – –Triangles have 3 sides, 3 angles.Triangles –Squares and Rectangles have.
Problem 7.4 Remember: A radius square is a square whose sides are the same length as the radius of the circle.
8cm 2cm How many squares do you need to fill the rectangle? Area of a rectangle = Length x Width.
Functional Skills Question (Shape 1) For the week beginning.....
SIMILAR TRIANGLES Similar figures have the same shape, but are a different size.
I SPY! Linda Adams. Can you spy the main idea? The main idea, The main idea. Can you spy the main idea? The main idea of the story?
Area of Complex Figures 7.3. Review Vocabulary and Notes.
Reflections on the Coordinate Plane. The undisturbed surface of a pond acts like a mirror and can provide the subject for beautiful photographs.
Units and Standards. In science, numbers arent just numbers. They need a unit. We use standards for this unit. A standard is: a basis for comparison a.
Proving the Distance Formula. What is the distance between points A and B? We can use the Pythagorean Theorem to find the distance.
Objective: When I leave class today, I should be able to: (1) Graph points and linear equations in three dimensions.
MODULE I VOCABULARY PART II. FIGURE IT OUT! The first new term we will discuss is distance. Distance a measurement of the length of how far something.
Students understand the measurement process and the need for standard units. Students learn to measure length with nonstandard units and to the nearest.
Pattern-based Texture Metamorphosis Z. Liu, C. Liu, and H. Shum Microsoft Research Asia Y. Yu UIUC.
UNIT 8:FORMULA By: Grace Silverstein, and Samantha Stoeber!
Discuss the equality property of exponential equation.
Triangles, Trapezoids & Kites Objective: Derive and use area formulas for triangles, trapezoids & kites.
EXPLORING FRACTIONS WITH TEAM FRACTION ACTION Adding Fractions with Like Denominators.
Tenths 2. Tenths Heres a different way of dividing a shape into tenths 1 / 10 2 / 10 4 / 10 3 / 10 8 / 10 7 / 10 9 / / 10 5 / 10 6 / 10 This shape.
5.4: Scale Drawings. Scale Factor The relationship between measurements on the drawings can be described by using a scale factor. When you make a drawing.
Changing the Phase of a Light Wave. A light wave travels a distance L through a material of refractive index n. By how much has its phase changed?
Problem 6.2 In A-D, make your drawings on centimeter grid paper. Remember that cm is the abbreviation for centimeters, and cm 2 is the abbreviation for.
Problems on optimization. Mika Seppälä: Problems on Optimization 1 OVERVIEW OF PROBLEMS Find two numbers whose product is 100 and whose sum is minimum.
MODULE I VOCABULARY PART VI. POLYGONS BY NUMBERS Today, we will be discussing the last few of our vocabulary words. Most of these are words you have heard.
Securing Natures recovery the knowns, unknowns and need to knows.
3.6 Solving Systems of Linear Equations in Three Variables.
Solved problems on optimization. Mika Seppälä: Solved Problems on Optimization review of the subject.
Wiltshire Council What will we be like? Paul Clarke, IDeA Laurie Bell, Wiltshire Council It is going to be different !
Determinants and Areas. The intention here is to prove that application of a 2 x 2 matrix to regions of the plane multiplies the area by the absolute.
CCSSM Stage 3 Companion Text Lesson 3-O. Warm-Up 1.Describe the translation that moves A(–3, 4) to A'(1, 3). 2.Describe the type of reflection that moves.
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