Computer Science: Introduction to Geometric Modeling (ECS178)
by UC Davis
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Description
This course is concerned with fundamental concepts of geometric modeling. Geometric modeling combines approaches from numerical analysis, approximation theory, and differential geometry for the effective representation and manipulation of curves and surfaces. Specifically, this course introduces essential ideas based on data interpolation and approximation, Bezier curves, spline schemes, and a variety of algorithms related to these topics. This material should be of relevance to students with interest in the underlying mathematical and algorithmic foundation of modern computer-aided design (CAD) software systems.
| Name | Description | Released | Price | ||
|---|---|---|---|---|---|
| 1 | CleanVideoSurvey of curve and surface modeling | -- | 7/2/08 | Free | View In iTunes |
| 2 | CleanVideoThe de Casteljau algorithm and Bezier curves | -- | 7/2/08 | Free | View In iTunes |
| 3 | CleanVideoBezier curves: derivatives and subdivision | -- | 7/2/08 | Free | View In iTunes |
| 4 | CleanVideoBezier curves: conversion to monomial form and degree elevation | -- | 7/2/08 | Free | View In iTunes |
| 5 | CleanVideoBezier curves: degree reduction and barycentric representation | -- | 7/2/08 | Free | View In iTunes |
| 6 | CleanVideoPolynomial interpolation: Aitken, Lagrange and Vandermonde schemes | -- | 7/2/08 | Free | View In iTunes |
| 7 | CleanVideoPiecewise polynomial interpolation: Hermite interpolation | -- | 7/2/08 | Free | View In iTunes |
| 8 | CleanVideoSplines and continuity, with a focus on Bezier curves | -- | 7/2/08 | Free | View In iTunes |
| 9 | CleanVideoC1-continuous and C2-continuous spline schemes | -- | 7/2/08 | Free | View In iTunes |
| 10 | CleanVideoDetailed discussion of C2-continuous cubic spline in Bezier form | -- | 7/2/08 | Free | View In iTunes |
| 11 | CleanVideoMatrix computation and end condition considerations (cubic spline) | -- | 7/2/08 | Free | View In iTunes |
| 12 | CleanVideoThe de Boor algorithm and B-spline curves | -- | 7/2/08 | Free | View In iTunes |
| 13 | CleanVideoKnot insertion for B-spline curves (subdivision) | -- | 7/2/08 | Free | View In iTunes |
| 14 | CleanVideoConversion of a B-spline representation to a Bezier representation and rational Bezier and non-uniform rational B-spline (NURBS | -- | 7/2/08 | Free | View In iTunes |
| 15 | CleanVideoBezier surfaces: definition and de Casteljau algorithm | -- | 7/2/08 | Free | View In iTunes |
| 16 | CleanVideoBezier surfaces: partial derivatives and continuity | -- | 7/3/08 | Free | View In iTunes |
| 17 | CleanVideoRational Bezier and NURBS surfaces, effective surface modeling schemes | -- | 7/3/08 | Free | View In iTunes |
| Total: 17 Episodes |
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