Course title: Computer-supported Geometric Modeling
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.
|Michael Barnsley||Fractals everywhere||Academic Press Proffesional, Inc., San Diego, CA,||1988|
|Јean Gallier||Curves and Surfaces In Geometric Modeling: Theory And Algorithms||Morgan Kaufmann Publishers||2000|
|Gerald Farin||Curves and Surfaces for GACD||Academic press, San Diego, CA||2002|