'Bezier curves' diaporamas de présentation

Computer Graphics

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3D concepts and object representation

3D concepts and object representation . UNIT - 4. Introduction :. Up to here we have seen that how lines, circle, ellipse, characters etc can be drawn.

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Parametric Curves

Parametric Curves. ????? ??? ???? ???. Overview. Introduction to mathematical splines Bezier curves Continuity conditions (C 0 , C 1 , C 2 , G 1 , G 2 ) Creating continuous splines C 2 -interpolating splines B-splines Catmull-Rom splines. Introduction.

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Diffusion Curves

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Approximate merging of two curves

Approximate merging of two curves. Speaker: Jun Chen Nov. 28, 2007. References. Approximate merging of a pair of Bezier curves Shi-Min Hu, Ruo-Feng Tong, Tao Ju, Jia-Guang Sun

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3D krivljenje (deformacija objektov)

3D krivljenje (deformacija objektov). Preoblikovanje objektov. Many objects are not rigid jello mud gases/liquids etc. Two main techniques: Geometric deformations Physically-based methods. Preoblikovanje objektov. Assume general geometric objects Morphing one object into another

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Curves

http:// www.ugrad.cs.ubc.ca /~cs314/Vjan2013. University of British Columbia CPSC 314 Computer Graphics Jan-Apr 2013 Tamara Munzner. Curves. Reading. FCG Chap 15 Curves Ch 13 2nd edition. Curves. Parametric Curves. parametric form for a line:

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Do Now: Take out your notebook and a pen. COPY FOR HOMEWORK: Define anchor point

Do Now: Take out your notebook and a pen. COPY FOR HOMEWORK: Define anchor point Define line segment Explain the difference between an open and closed path. Aim: What is a Bezier curve?.

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Graphics II 91.547 Parametric Curves and Surfaces

Graphics II 91.547 Parametric Curves and Surfaces. Session 3. Parametric Curves and Surfaces: Key Concepts. Point. Curve, Surface Collection of points. Parametric Representation. (for a curve). Parametric Curves and Surfaces Key Concepts, contd.

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Western Larch in NA

Western Larch in NA. 2006, MccCune, Non-parametric habitat models with automatic interactions. 2006, MccCune, Non-parametric habitat models with automatic interactions. Montane Frogs in Rainforest. 2013, Marcio et al., Understanding the mechanisms underlying the distribution of microendemic

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Foundations of Computer Graphics (Fall 2012)

Foundations of Computer Graphics (Fall 2012). http://inst.eecs.berkeley.edu/~cs184. CS 184, Lecture 9 : Curves 1. Course Outline. 3D Graphics Pipeline. Animation. Rendering. Modeling. Graphics Pipeline. In HW 1, HW 2, draw, shade objects But how to define geometry of objects?

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Walking Cycle Animation and Interpolation

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Best-Fitting Bezier Curves for Graphs of Functions

Best-Fitting Bezier Curves for Graphs of Functions. Outline. This presentation looks at finding optimal Bezier curves Background and definitions Eight unknowns: Six constraints based on the functions and derivatives Two constraints based on minimizing the mean squared error

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Last Time

Last Time. Many, many modeling techniques Polygon meshes Parametric instancing Hierarchical modeling Constructive Solid Geometry Sweep Objects Octrees Blobs and Metaballs and other such things Production rules. Today. Parametric curves Hermite curves Bezier curves

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Last Time

Last Time. Many, many modeling techniques Polygon meshes Parametric instancing Hierarchical modeling Constructive Solid Geometry Sweep Objects Octrees Blobs and Metaballs and other such things Production rules. Today. Parametric curves Hermite curves Bezier curves

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Movement and physics

Movement and physics. Mark Nelson mjas@itu.dk. Movement. You will probably want some things moving Lots of ways to do that General tradeoff between physics and animation And hybrid approaches. Basic movement model. Recall Pong Velocity per object Update position per frame

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Ad Elements

Ad Elements. Chapters 7-8-9-10-11. Objectives:. Upon completion of this class and the assignments, you will be able to: Identify key elements of an ad Recall the materials required to layout a print ad Select the type of illustration (if any) best suited to the ad

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Computer Graphics (Fall 2003)

Computer Graphics (Fall 2003). COMS 4160, Lecture 10: Curves 1 Ravi Ramamoorthi. http://www.cs.columbia.edu/~cs4160. Curves: Motivation. Key for modeling in computer graphics Interpolation of data Surfaces are (simple) extension Modeling of shape. History.

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Curves in Space

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Triangular Bezier Patches

Triangular Bezier Patches. Natural generalization to Bezier curves Triangles are a simplex: Any polygon can be decomposed into triangles Formulation based on Barycentric coordinates and linear interpolation. Barycentric Coordinates.

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