CSE 577: Advanced Geometric Modeling

CIDSE at Arizona State University

Spring 2015    *   T & TH 3:00-4:15pm   *    BYAC 260


Instructor: G. Farin
farin@asu.edu
Office: BYENG 346
Office Hours: after class or by appointment

Teaching Assistant: Duyan Ta
Duyan.Ta@asu.edu
Office: 4th Floor, cubicle 415BB
Office Hours: Monday 3-5; T, TH after class for quick Q&A; by appointment

Emails: Please include "CSE 577" in subject line.

 

Home Page        Class Log

Calendar Topics Mathematica Notebooks
Jan 13 Review course format and introduction to course  
Jan 15 Introduction to Mathematica:
Installing Mathematica
and Mathematica tips
Introduction to Mathematica
Jan 20 Bare basics, Lines and Planes,
Application: Digital Michelangelo
 
Jan 22 Cubic Bezier Curves and Higher Degree Bezier Curves
deCasteljau algorithm,
deCasteljau alg timing
,
Degree elevation
Jan 27 fat circles, Wolfram response Wolfram-circle, blossoms
Jan 29 Bezier curve application: Chinese font design example Bezier interactive
Derivatives
Bernstein polynomials
Feb 3 Bezier curve topics continued
Homework 1 assigned -- Due 10 Feb.

Degree elevation with blossoms

Monomials
Degree reduction
HW1
Feb 5 Working with Bezier curves Interpolation and Approximation
Subdivision
Derivatives

Feb 10 Differential geometry
Differential geometry of curves (skip implicit curve)
Aitken's scheme
arc length
Osc circle 2D
Osc Circle 3D
Feb 12 Frenet interactive
Curvature combs
Frenet frame
 
Feb 17 Frenet frame B-basis
Feb 19 de Boor
Blossoms
HW1
Feb 24 BS Gallery
BS energy
Feb 26 BS chapter 10 blossom_osculating_plane
March 3 Midterm prep

BS examples
HW2
Midterm prep

March 5 Midterm final_13.tex  
March 10 Spring Break  
March 12 Spring Break  
March 17 Mathematica tips
CAD companies
3D knots

wolfram-knot
Midterm
BS-approx

March 19   Bezier surface
March 24 Blossom def.
Greville and blossoms
Partials
Bezier_lighting
Bezier machining
ConS
BSurface
March 26   Bilinear surface
March 31 combs
April 2

comb paper
surface applications
Volume deformations
Volume deformations II

BSurf interpolate
BSurfapprox
ConS
April 7

teapot file
Brain deformation
brain deformation video
Hierarchical B-splines

HW3

April 9

Conformal maps

Conformal maps for a medical application

April 14 Discrete Gauss curvature
April 16

Discrete Gauss curvature II

obj files


HW4
April 21 Mesh tools  
April 23 Math in the movies
Barycentric coordinates
Bezier triangles
 
April 28 Final prep Mock final
April 30 Final  
     

 

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