PPT-Problems in curves and surfaces

M Ramanathan Problems in curves and surfaces Simple problems Given a point p and a parametric curve Ct find the minimum distance between p and Ct Problems in curves and surfaces. The general approach is that the user enters a sequence of points and a curve is constructed whose shape closely follows this sequence The points are called control points A curve that actually passes through each control point is called an interpo :. An . Empirical Study. Gary M. Weiss. Alexander . Battistin. Fordham University. Motivation. Classification performance related to amount of training data. Relationship visually represented by learning curve. Area. Region . R. . is bounded by the curves . y = 2 – x. 2. and . y = -x. .. Sketch region . R. .. R. What is the area of region . R. ?. Process. To find the area between curves:. Sketch the region defined in the problem.. M. Ramanathan. Department of Engineering Design,. IIT Madras. http://. ed.iitm.ac.in. /~. raman. Medial object workshop, Cambridge. 0. Various skeletons. Curve skeletons. Mid-surface. Chordal. axis transform (CAT). Nick Sinev, Maximilian . Swiatlowski. The most of the code (. fitint.c. ) was written by . M.Swiatlowski. . . I have optimized its speed by minimizing number of multiplications in the innermost loop of the fitter code, using only 32 bits integers there, replacing divisions and multiplications whenever possible by bit shifts.. Moira Chas from Stony Brook University. King Abdul- Aziz University. Spring 2012. Example of surface without boundary. 2. 3. Example of surface without boundary. Example of surface . with . boundary. When drawing, h. ow . do straight lines become curved lines?. Designed for DVI by Camilla S. Haneberg. What is a line anyway?. Line has MANY different meanings: you can wait in line, there is a line of scrimmage in football, line is used in math all the time, it can be a fabricated thought…”can you believe the line that guy used?”. Overview. 3D Shape Primitives:. Points. Vertices.. Curves. Lines, polylines, curves.. Surfaces. Triangle meshes, splines, subdivision surfaces, implicit surfaces, particles.. Solids. Basic Shapes. Fundamental Shapes. UNIT V. Introduction. Objects in the real world may not always be made up of regular geometric shapes.. Surfaces are made up of curved surfaces & curved edges.. Curves are quite complicated to represent them in exact mathematical equations.. Bob the Builder Example. Cost Curves: Bob the Builder Example. Total Cost. To employ Bob to work the firm needs to pay $420. Every additional worker is $420. Bricklayer. Total Cost. 1. $420. 2. $840. Dan Dreibelbis. University of North Florida. Richard. Goals. What is a 3-D matrix?. Vector multiplication with a tensor. Geometric objects from tensors. Motivation. Pretty pictures. Richard’s work. Anchor rates based on literature review. The “anchor rates” were the rates of percent Total Phosphorus removal based on the runoff treated in inches as was derived from the expert panel literature review. . 1. Which statement accurately describes the mathematical relationship between the intensity of a sound and the decibel rating? Your vision is blocked. Why are curves high risk?. Speed. Visibility. Road design. (radius/slope). Road conditions. Why are curves high risk?. Tire condition. Vehicle- . (type, weight, height and load).