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Computer-supported Geometric Modeling

Course title: Computer-supported Geometric Modeling

Code: 3ФЕИТ08Л007

Number of credits (ECTS): 6

Weekly number of classes: 3+2+0+0

Prerequisite for enrollment of the subject: Taken course: Mathematics 1

Course Goals (acquired competencies): Adopt the basic notions of affine geometry and its application in modeling curves and surfaces, fractals and iterative function systems. Development of analytical thinking, critical abilities, learning ability. The acquired knowledge is necessary for the study of electrical engineering.

Total available number of classes: 180

Course Syllabus: Affine transformations in the plane. Iterative function systems and fractals. Algorithms for fractal generation. Basic models of curves in a plane. Bezier curves and B-spline curves (definition, properties, algorithms). Polynomial surfaces and spline surfaces. De Casteljau's algorithm, sub-journalism. Modeling curves and surfaces.

Literature:

Required Literature

No.

Author

Title

Publisher

Year

1

Michael Barnsley

Fractals everywhere

Academic Press Proffesional, Inc., San Diego, CA,

1988

2

Јean Gallier

Curves and Surfaces In Geometric Modeling: Theory And Algorithms

Morgan Kaufmann Publishers

2000

Additional Literature

No.

Author

Title

Publisher

Year

1

Gerald Farin

Curves and Surfaces for GACD

Academic press, San Diego, CA

2002