Published date: Dec 27 2018

Journal Title: KnE Engineering

Issue title: Ibero-American Symposium on Computer Programming jointly held with the International Congress on Technology Education

Pages: 255–269

DOI: 10.18502/keg.v3i9.3659

A Álvarez - aalvarez@espoch.edu.ec

N Salazar

J Tinajero

At present, the generation of 3D objects by computer has become a fundamental tool for the development of most sciences. Modeling a three-dimensional surface on a computer whose display is a two-dimensional graphic screen presents some challenges such as simulating the depth on the graphic screen. To overcome this drawback, the authors propose to use Vector Differential Analysis (Differential Geometry), since calculating the normal vector to the Surface eliminates hidden sections and differentiates external faces of internal faces to texturize differently. In the same way, taking advantage of the properties of the Vector Gradient, it is possible to simulate light intensities on the surfaces.

Keywords: Mathematics, algorithms, Surface, differential geometry, Vector Gradient

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